diff --git "a/data/dm_maths/full_data_2/1131_11255.jsonl" "b/data/dm_maths/full_data_2/1131_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1131_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of -76\/815697 and 28\/815697.\nAnswer: 815697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2214 = -4*i - 2*i. Suppose 2*o + p - 154 = 0, i = 4*o + 3*p + 59. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*j + 42, 2*u - 4*j + 3 = -49. Let v = 21 + u. Suppose -11 = -c + v. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001723141177 to 6 dps.\nAnswer: -0.001723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20)*-3 - (1*sqrt(1280) - sqrt(1280)))\/((-1*sqrt(100))\/sqrt(10) + (sqrt(10) - sqrt(10)*2*6)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10 - 17 - c - c - 15. Let f be j(-12). Solve 5*k = -i - 7, -k - 3*k + f*i = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 - 5*t**2 + 347*t - 363. Let c(i) = -i**3 + i**2 + 1. Let y(f) = -6*c(f) - j(f). Find the first derivative of y(x) wrt x.\nAnswer: 6*x**2 - 2*x - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 5*b. Let w(c) = -c**3 + 1. Give w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 8:17 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 10. Let p = -66 - y. Let n = p + 17. What is the third biggest value in -5\/8, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + -5 - (15 + -12))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose -3*r = 2*i - 1, n = 4*r - 7*r + 5*i + 8. Let s(l) be the first derivative of 3*l**3 + l**2\/2 - 686. Determine s(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from mrqrrvggrm?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1012110 (base 3) to base 16\nAnswer: 36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97256675.\nAnswer: 5, 3890267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13646, -27213, -40632, -53831, -66738, -79281, -91388?\nAnswer: -102987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 13*s**2 - 12*s - 3. Let z be f(-12). Let v be (z\/(-3))\/((-1)\/(-4)). Suppose 3*c + v = 25. 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(y) = -y - 1. Let r(t) = -t**3 - 16*t**2 - 17*t + 20. Let a be r(-15). Suppose 4*o = 10 + a. Let f = -15 + o. What is q(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 529*h**4*z**3 + h**3*z**3 - 302*z**3 wrt h?\nAnswer: 2116*h**3*z**3 + 3*h**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 97*p**2 - 27 - 27 + 40*p**2 - 32 + 112 - 23.\nAnswer: 137*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 3\/(-9) + 2)*3132\/(-464). Solve 117 = -j*r + 180 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:30 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5167827 millennia?\nAnswer: 516.7827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 1241\nAnswer: 54\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 0*j + j)*(0 - 2 + 0)*(11*j - 43 + 89 - 43) in the form v + f*j**2 + i*j and give f.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -d. Let s be (d + 0)\/(1 - 0). Let p(b) = -b**3 - 9*b**2 - 9*b - 4. Let r be p(s). Solve -17 = -2*u + 5*c, -r*c - 10 = -u - c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3479 + -3390. Which is the third biggest value? (a) 4 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/38*-2 + -4*(-7330)\/5880.\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*x**3 + 80*x**3 - 38*x**3 + 43*x**3.\nAnswer: 278*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3960 and -87\/40.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27684)\/(-2208) - 10 - (-12)\/138. Factor -w*t**2 + 33\/8*t - 3\/2.\nAnswer: -3*(t - 1)*(7*t - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7118762 from 3.\nAnswer: -7118759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + p**4 - 7*p**2 + 7*p**2)*(17*p + 7*p + p).\nAnswer: 25*p**5 + 75*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y - 6. Let u be f(5). Suppose p = u*p. Let v be ((-1)\/(-2))\/((-2)\/(-4)). Is v at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y**2 - 1889*y**3 + 1844*y**3 - 38*y**2 + 25*y**2 to the form r*y + k*y**3 + c + j*y**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 + 1. Suppose -1 - 2 = 3*k. Suppose 0 = 4*o - 2470*m + 2465*m - 59, 4*o + m - 65 = 0. Calculate the lowest common multiple of o and d(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22660 divided by 412?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) -1\/2 (c) -0.3 (d) -513\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.4 + -0.4. What is the closest to -0.4 in 3, -2, -9, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 14*w - 14*w)*((-w + w + w)*(-1 - 1 + 4) - 63061 + 63061 + 409*w)*(6*w - 6*w + 4*w)*(w + 0*w + w).\nAnswer: 9864*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*k - 3*b + 1, -3*k + 3*b = 30. Let t(c) = 22*c + 122. Let f be t(k). Solve -a + 4*a - f = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n. Let u(y) be the first derivative of 4*y**3\/3 - 13. Determine s(u(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = m + 5*k, 0 = -21*m + 20*m + k - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197337?\nAnswer: 3, 7, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.0194 - 104. Let c = 0.012 - r. What is c rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -881 - -880.6. Sort -1\/7, z, -0.5, 0.4 in ascending order.\nAnswer: -0.5, z, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 5353?\nAnswer: -9\/5353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(3 - 3 - 2*t) + 0 + 854484*t - 854298*t + 0.\nAnswer: 190*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032696811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 29*r - 83. Calculate b(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*t + 71, -5*d - 14 = -4. Calculate the greatest common divisor of t and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 693*f - 7. List the prime factors of u(2).\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 8*x**2 - 8*x + 11. Let y be d(5). Let u = -57 + y. Let p(w) = w + 13. Let t be p(u). What is the highest common factor of t and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/4 - (4 - (-104)\/(-32)). Solve m*w = 10 - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1666 - -5680. What is the thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.31 from -2796811.639.\nAnswer: -2796811.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7147 times -0.5?\nAnswer: 1.35735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2126\/4779 - 2\/4779. Let x(h) be the first derivative of 21 - a*h**2 - 2\/15*h**5 + 8\/27*h**3 + 0*h + 5\/18*h**4. Determine w so that x(w) = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((752\/2632)\/((-1)\/7))\/(((-20)\/4)\/140)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 12:47 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -5\/33*d**3 + 0*d - 36*d**2 - 1\/330*d**5 + 0 - 1\/22*d**4. Factor l(r).\nAnswer: -2*(r + 1)*(r + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43571 (base 8) to base 2.\nAnswer: -100011101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/24 + 1\/(-4). Let r = 78 + -405.6. Let a = -328 - r. What is the nearest to f in a, -2, -0.02?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177198129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169904 - 70656 = 3880*s for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, i: 3, u: 2, c: 6, o: 1}. Give prob of sequence csu.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 89*y + 0 + 57\/2*y**2 - 61\/3*y**3. Differentiate l(b) with respect to b.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 3*y - 1. Let b be o(-3). Let a be (b\/(-3))\/((-48)\/(-36)). Suppose -1\/4*h + 0*h**2 + a*h**3 + 0 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -10\/9, -0.2, -1, 30.286, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*u**2 + 1028*u**2 - 507*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 34 - 5*g - 19 + 2*g**2 + 4*g**2. Let v be c(-7). Is v less than -5\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 28*t - 6. Let y(o) = -3*o**3 - 85*o + 17. Determine -17*p(z) - 6*y(z).\nAnswer: z**3 + 34*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103 - 117)\/((-24)\/(-36))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - (-36 + 38 - -29)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28653890?\nAnswer: 2, 5, 67, 42767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3262 divided by -14?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1610.1 + 1610. Suppose -2*l = l + 363. Let s be (2 + 0)*11\/l. What is the third smallest value in j, -3.4, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(104) + (sqrt(104) - (sqrt(104) + -3*sqrt(104)))*-2 - sqrt(104))*-4)\/(sqrt(352)\/sqrt(539) - sqrt(32)).\nAnswer: -14*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbbm when four letters picked without replacement from mmmmmbb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82299.2 rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/495)\/((-1)\/9).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 7\/((-105)\/(-240))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 1408 - 5742 = 0. Suppose 0 = -0*f - 8*f + 9392. Suppose 5*m + a = f. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 2. Suppose j*h + 3 + 5 = -4*b, 0 = 4*b + 3*h + 5. Suppose 0 = 3*x - 2*x + 2. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**2 - 9*a + 12. Let x be j(-2). Solve -23 = 21*b - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.49 equal to -18.76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**0*u*u)))\/u*u)**(2\/25)\/(u*(u*u**0)\/u)**(-18)*u**(3\/7)\/(u**(-2\/7)*u)*u**(-1)*u\/(u*u**7) assuming u is positive.\nAnswer: u**(1728\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*b = 85*b - 100*b + 157. What is the second biggest value in 0.176, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**2 + 45*v**2 - 25*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (19 - (39 + -18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/(-8020)*((11 - 16) + 4 + (-10)\/(-8)).\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/294 and 115\/48.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 416, -3, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r + 25. Suppose 5*z - 4*t = -22, 25 = -2*z - 3*z + 5*t. What is the remainder when 58\/((-1)\/(1 + z)) is divided by q(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 14*d**2 - 4*d - 1. Let q be h(10). Suppose 457 = 17*c - q. What is the remainder when 186 is divided by c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**3 - 3*u - 2*u**4 - 4*u**3 - 7*u**3 + 2 in the form b*u**3 + g*u**4 + j*u + r*u**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {n: 1, b: 4, p: 1, k: 7}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuw when three letters picked without replacement from ljlflujjlwaa.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -673 - -1002. List the prime factors of (0 - (-1 - -3))\/((-1)\/g).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5, 0 in decreasing order.\nAnswer: 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 102945 divided by -6\nAnswer: -34315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r = 26265 - 8029. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 43*g + 646. Give x(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -2*c**7\/21 - 67*c**5\/20 - 31*c**4\/3 - 2059*c. What is the third derivative of i(q) wrt q?\nAnswer: -240*q**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 9*f - 2. Find the second derivative of -11*z + 39*z**f - 39*z**2 + 2*z**3 wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) -2 (b) -2\/3 (c) 0.1 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2767 - -5279. List the prime factors of t.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:45 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 2 - 5)*((-6*v - v + 3*v)*(-4 + 1 + 4) - v + 4*v - 2*v) to the form h + l*v and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(190)\/sqrt(10)*1.\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210420.9 hours to days.\nAnswer: 8767.5375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnu when three letters picked without replacement from {l: 1, u: 2, n: 4, t: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, 25\/42, 3, -20, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*o**2 + 15*o**3 + 7*o**2 - 3*o**2 wrt o.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1583018, 1583019, 1583020, 1583021, 1583022, 1583023?\n\"Answer: q + 1583017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -0.836141001004.\nAnswer: 4.163858998996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*r - 409 + 370, 4*r = 3*z - 42 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7557 (base 8) to base 9\nAnswer: -5370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*s**2 - 1643*c**2*s + 2*c**2 - 2*c*s**2 + 2*c*s - 1476*c - 11*s wrt c.\nAnswer: -12*s**2 - 3286*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.87 + -5.77. Let x = -11 - -32\/3. Let p = -257\/4 - -64. What is the third biggest value in y, 0, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 25 (c) -1 (d) 107 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m + 0 - 13*m - 2 + (48*m - 181*m - 135*m)*(1 - 1 - 2).\nAnswer: 531*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -6.5, 0, 6, 98, -6, 3.\nAnswer: -6.5, -6, -2\/7, 0, 3, 6, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5))**(-4\/23)*(l*l**(2\/53)\/l)\/(l\/(l**(-19)*l)*l) assuming l is positive.\nAnswer: l**(-121882\/6095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 323833a - 7?\nAnswer: 3238333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66919 + -44180. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -432, -428, -424, -420?\n\"Answer: 4*i - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r = -5*x - 323 + 103, 0 = -5*x - 8*r - 172 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0. Let x be 9\/(-2) - 320\/(-128). Which is the smallest value? (a) 0.39 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + g - 1. Let z(m) be the second derivative of m**5\/20 - 7*m**4\/12 - 7*m**3\/6 + 7*m**2\/2 + 8*m. Determine 21*y(u) + 3*z(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2, -3*y = 4*g - 12 - 14. Let p = 14 - g. Let c = -2 + p. Solve c*w - 8 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*y + 28 = 0, -3*u + 5*y - 8 = -0*u. Let x be 4\/(-1*(7 + -4 + -4)). Find the third derivative of 4*o**5 + 6*o**2 + o**4 + o**x - 2*o**u wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-25)*t)\/t)**(7\/4) assuming t is positive.\nAnswer: t**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2944 + -26459\/9. Calculate the common denominator of t and -101\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.737 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((2 - 1594) + -1). Suppose -p = 4*p - l. Suppose -s + 5*s = -5*n + 427, -3*s - 4*n + p = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786411146.\nAnswer: 2, 3, 13, 31, 738797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:00 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -4*a. Let o be (-31 - -29)*(0\/a - -2). Let j be 1\/2 - 18\/o. Solve -v - j = -0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1062882.4 to the nearest one thousand.\nAnswer: -1063000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**25\/b*b)**(-37))**(-15))**(-2\/179) assuming b is positive.\nAnswer: b**(-28860\/179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, -16, -19, -22, -25, -28?\n\"Answer: -3*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/24*(-2)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, -262, 5 in descending order.\nAnswer: 5, 2, -2, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g + 11. Let i be 0*3\/(-9) + 3. Let k be (g + 15)\/(2\/i). Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 337610906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.04 + 3.76. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 18 = -2*q, -2*p - 13 = 2*p - q. Let s be (-3)\/p - 6\/8. Suppose 3*r - r - 60 = -5*h, s = -5*r - 3*h + 169. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262982*k - 262616*k + 33672 = 0 for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*w - 18 - 2, -c + 2*w = -17. Let g = -44 - -47. What is the second derivative of 8*r**g - 7 + c + 12*r wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/45 + 76\/(-18). Let y be 44\/(-5) - 2\/10. Let t = s - y. What is the remainder when 9 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12669 - 40921 = -4*c, -4*c - 134003 = -5*v. List the prime factors of v.\nAnswer: 3, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (336\/32)\/(1\/2). Find the second derivative of -o**4 + 14*o + 16*o**2 + 3 - a*o - 3 wrt o.\nAnswer: -12*o**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:06 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((55 - 91) + (-1 - 1 - -13)) - 107?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2217 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7044074 plus 0.0283?\nAnswer: -7044073.9717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 166*c**2 + 197*c + 16426. Give a(-83).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t*t**0*t)\/(t**(-5)\/(t\/(t\/(t\/((t\/(t\/t**0))\/t*t*t*t*t))*t*t))))\/((t*t\/(t\/(t\/t**(-4\/7)))*t**(-1\/3)\/t*t)\/t**(-7\/2)) assuming t is positive.\nAnswer: t**(-241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 5\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7\/5 + (-4793 + 0)*(-1507)\/685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*u - 29*u - 4*u)*(-u**2 + 16*u**2 - 3*u**2 + (3*u - 3*u - u)*(-2 - u + 2) + 11*u - 11*u + 4*u**2).\nAnswer: 323*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 19 - 163. Suppose -4*d + w = 8*d. What is the lowest common multiple of 25 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 b when four letters picked without replacement from abambzim?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 1. Let g(u) = -u**3 + 28*u**2 - 52*u + 1. Let z be g(26). Suppose -17*c + z = 18. Give t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + s + 4 + 4, 5*n + 2*s - 14 = 0. Suppose -2*i + 3 + 7 = n*x, -3*i + 4*x + 1 = 0. Solve -c = -i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {a: 1, k: 1, r: 9, c: 2}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*z + 284*z + 111 = 0. What is g in -z*g**2 - 5\/3*g**3 - 2\/3*g + 7\/3*g**5 + 0 + 3*g**4 = 0?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**4 + 2 + 2*p**4 - 12)*(4 + 0 - 1) to y*p**3 + q*p**4 + u*p + r + n*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6415197 or 6415198?\nAnswer: 6415197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + a + 11. Calculate the remainder when 30 is divided by z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -127694726361.\nAnswer: -127694726360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3052 (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6213*l - 8. Calculate d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*y + 0 = 16, 0 = -k + 3*y + 2. Let c be (64\/20)\/(k\/(-10)). Calculate the lowest common multiple of 14 and 6\/c + (-37)\/(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 12. What is the remainder when (-4)\/14 + 744\/56 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + m - 5, 0 = -3*u - 2*m - 3*m - 19. Suppose -u*x + 192 = x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6124263347 to the nearest integer?\nAnswer: 78258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -42)\/((-1)\/3). Let j = f + 11486\/87. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 0.102.\nAnswer: -0.00408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16164892 and 331204?\nAnswer: 10684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1607 + -0.04\nAnswer: 1606.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 223*h**2 - 22*h + 902. Let b(c) = -25*c**3 + 6020*c**2 + 595*c - 24355. Let u(f) = 2*b(f) + 55*y(f). Determine p, given that u(p) = 0.\nAnswer: -2, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/8 + 3*r**3 + 9*r**2\/4 - 3*r - 21\/8.\nAnswer: 3*(r - 1)*(r + 1)**2*(r + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - (3 + 1 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.47, 0.06, 4, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10627, 10634, 10641?\nAnswer: 10648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + -5 + 2 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 47 = 26*v - 173. Solve 0 = -v*p + 3837 - 3832 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(38)\/sqrt(2).\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -42. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6523 - -52187\/8. Let j = 0.02 + -2.02. Let x = j - 1. Which is the biggest value? (a) -0.5 (b) 0.5 (c) x (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26758.\nAnswer: 2, 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from donjdjvz. What is prob of picking 1 d, 1 n, and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 - 6*y**2 - 2. Let u(r) = 2*r**3 + r**2 + 1. Let z(d) = -c(d) - 3*u(d). Let x be z(1). Sort 0, 4, x, -7 in increasing order.\nAnswer: -7, x, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 31.1, -4 in descending order.\nAnswer: 31.1, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r - r**2 + r**2 + 2*r**3 + 4*r**4 - r**4 as o + w*r**4 + y*r + p*r**3 + a*r**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15903555 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, -18, -121, 3.\nAnswer: -121, -24, -18, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 18 + 15 + 3*z - 25.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.426343 months to millennia.\nAnswer: 0.00120219525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13104627*-7.\nAnswer: -91732389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2 + 2\/3*x**3 - 4*x - 1\/2*x**2. What is the tens digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/6 + 17*o**4\/24 + 4*o**2. Find the second derivative of b(x) wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/10*5\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6 - (7 - (5 + -23)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23975 - -43126. Let w = -19201.917 + k. Let s = -51 - w. What is s rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115\/1519 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 12*h + 10*h = -4, 3*f + 4*h + 18 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 15) to base 7.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 1:31 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**3*h - 3764623*d**3 + 88*d**2 + 112*d*h - 2*d + 27*h - 18 wrt d.\nAnswer: 102*h - 22587738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (39 + (2 - 0))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -1\/2*h**2 + 176 + 0*h. Let f(s) = 33*s**2. What is w(f(l))?\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2470, 4901, 7158, 9235, 11126, 12825, 14326, 15623?\nAnswer: 16710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3113002 (base 4) to base 3\nAnswer: -200212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80371 - 31410. Suppose -4*z + l = 961. Round z to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14828 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 127*m - 3808. What is the remainder when r(52) is divided by 59?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29060209099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 20610 = 28*h. List the prime factors of h.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/15*(-130)\/52\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 948071 - 452341 = 105*i - 882815. Is i a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43051603 (base 8) to base 15.\nAnswer: c19ce9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 8*x + 5. Let l be 1 - (2 - 0)*-1. Let n be -1 + -4 - l - 3. What is the units digit of t(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*q = 13 + 17, -30 = -5*d + 2*q. Suppose -5*u + 17 = -4*b, -u - 25 = -d*u. Determine w so that -4*w**2 + 5*w**2 + 2*w**b - 3*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + j + 72, -7*o + 3*o = 5*j - 144. Let x = o - -19. Let q = x - 52. Solve -4*s - 6 = -2*m + 6, q*s + 9 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*t**3*v + 1720*t**3 - 275*t*v with respect to v.\nAnswer: 12*t**3 - 275*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21847735235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 41 = 2*r - 22, 51 = 2*r + h. Solve 0 = 5*j + 19 - r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12320070 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 655480 divided by 81935.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -205478452*n**2. Let q(l) = 9*l**2. Determine t(q(d)).\nAnswer: -16643754612*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1022001002202 (base 3) to base 7\nAnswer: -5601545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 + 29 = 5*a, 2*a + 4*w = -6. What is the greatest common factor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 32.82.\nAnswer: -29.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -30, 54, 0, 3.\nAnswer: -30, 0, 3, 54, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = -k. Suppose m + 99 = 4*j - 24, -48 = -2*j - 4*m. Suppose 10 + j = k*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*r + 16359*r**2 - 32750*r**2 + 16376*r**2 as t*r**2 + p*r + j and give p.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -10. Let h(v) = v + 6. Let j be h(i). Suppose j*b - 5*b = -60. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8703*-1)\/(-1) + 17\/(-17).\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 6*c - 6. Let t(f) = 9*f**2 - 17*f - 17. Determine 17*n(z) - 6*t(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/132 and -137\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_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: -21 - (-3055)\/145 - (-3)\/((-696)\/(-8104))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Suppose -14 = n*a + 61. Let j be (0 + 0 - 1)*(16 + a). Is -1\/14 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6310 + 4241. Are c and -2071 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:54 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 2, 3, 10, -5, -23.\nAnswer: -23, -5, -2, 2, 3, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2474*d**5 - 12*d**6 + 12*d**2 - 2474*d**5 wrt d?\nAnswer: -1440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 + 0.18. Let w = -4.87 + k. Let s = w + 5.3. Which is the closest to -0.1? (a) s (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + m - 3*m + 494216 - 908*m - 494216 + (-3*m - m + 5*m)*(-1 - 1 + 3).\nAnswer: -906*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -2\/9, -26\/55, -18, -4, -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1443609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - a + 33, -3*a + 2*a - 62 = -3*b. Let d(r) = 5*r + 19 - b. Let k(t) = 1754 - 1754 + t. Determine d(k(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(175) + (sqrt(175) - 2*sqrt(175)) + sqrt(175)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*76\/6840 - 20\/6) + 6?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27780561, 27780560, 27780559?\nAnswer: 27780558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 46*r**3 - 131*r**2 - 86*r.\nAnswer: -r*(r + 1)*(r + 2)*(r + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 50*i - 3*x, i + 30598*x + 5 = 30601*x + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-966)\/(-504) - 10\/8. Which is the fourth biggest value? (a) 2\/9 (b) -2\/23 (c) -0.3 (d) -2 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85 - -95) + -3 + (9 - -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 438 - 2457 = 0. Let u = s - -1547\/8. Are 3\/4 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i = 12. Let b(j) = 6*j + 28 - 28 - i*j. Let d(f) = -4*f. Calculate -5*b(u) - 4*d(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0 - 5\/14*d**4 - 1\/105*d**6 + 1\/10*d**5 + 3\/7*d**3 - 61*d + 0*d**2. Factor o(l).\nAnswer: -2*l*(l - 3)**2*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5166.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 6876 + 6908 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 8:03 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7336a + -aa?\nAnswer: 73280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416) - 3*sqrt(416))*-1 - (-3*1*sqrt(416) - sqrt(416)))\/((sqrt(80) - (-2*1*sqrt(80) - sqrt(80)))\/(sqrt(360)*2)).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.918647 to 1 dp.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41073563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74.97 - -74.985488. Round k to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 2 - 1 + 1 - 5. Let q = 4 + -8. Is 9 a factor of o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32021158.\nAnswer: 2, 13, 73, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 7*t**3)*(-1 - 2*t + 1) + (-5*t**4 + 2*t**4 + t**4)*(4 - 3 + 1) + 2*t + t**4 - 2*t to the form k + c*t**2 + j*t**3 + l*t + q*t**4 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c - 12, 5*c = 3*f + 9. Calculate the common denominator of (6\/24)\/(f\/(-58)) and 63\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 6*x + 4. Suppose 3 = -2*f - 3. Let m(y) = -2*y**2 + 6*y - 4. Let p(h) = f*z(h) - 4*m(h). Factor p(i).\nAnswer: 2*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116820157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535, -589, -641, -691?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -12. Let y(k) = k**2. Let c(n) be the third derivative of n**5\/12 + 12*n**2 + n - 285. Give x*y(i) + c(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18509, 74430, 167765, 298514?\nAnswer: 466677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(2 - -1)\/6. Let o(h) = -h + 16. Let r be o(s). Suppose -2*a + 5*b + 2 + 52 = 0, -4*b = r. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 r when four letters picked without replacement from {h: 3, r: 8}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 54 = 3*r, -2*g - 3*r - 33 = -81 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 - 38 - (-14 - (-1 - 0)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**5\/30 - 5*g**3\/3 + 38*g**2. What is the derivative of h(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -2\/7, 604, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1146752 and 9672?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151342043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.618707 + 109016?\nAnswer: 109005.381293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 789.\nAnswer: 14991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613713 is divided by 134.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/2 - 105*x**4\/2 - 19717*x**3\/2 + 253449*x**2\/2 + 448380*x + 311850 = 0?\nAnswer: -105, -2, -1, 15, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**2 - 40*w - 28.\nAnswer: -4*(w + 1)*(3*w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 274.43 + -274.13. Sort 4, b, -1.288, 0.5 in decreasing order.\nAnswer: 4, 0.5, b, -1.288","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 33 + 9 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 + ((-298008)\/(-24) - (-6)\/1). What is the greatest common factor of w and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:45 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -85, 0 in increasing order.\nAnswer: -85, -2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/10 - -2)*-10. Let l = 24 - -12. Calculate the highest common divisor of l and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**2))\/i*i)\/i)**(-3\/10) assuming i is positive.\nAnswer: i**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*q + 49*q - 20706 = 31*q - 226*q for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(2\/7)\/i)\/i)**(2\/41)*(i*i*(i*i\/i**(-11)*i)\/i)\/(i\/i**(2\/29)*i))**36)**(-1\/38) assuming i is positive.\nAnswer: i**(-1945386\/158137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 6. Let s be v(3). Let m be (s\/4)\/((-11)\/(-44)) - -49. Suppose -259 = -3*z - m. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t - 32*t + 16*t + 13*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 464*r + 667 - 4379 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -211, -441, -761?\n\"Answer: -45*p**2 - 5*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1443348 - -7.1396.\nAnswer: -1443340.8604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 245. Let k be -5 + 5 - (p\/(-12) - 4). Let h = -1.99 - -1.9. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -17. Suppose 3 = m - l. Solve -3*t = -f - m - 3, -4*t = -f - 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2143 take away -0.2?\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, -3, 0.3, -4 in decreasing order.\nAnswer: 1, 0.3, 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s - 30*s + 411377 = 26*s. List the prime factors of s.\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16011cc (base 14) to base 2.\nAnswer: -101001000010110110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(396) + sqrt(396))*-1*-5 - (-6*2*sqrt(88))\/(-3*sqrt(72) + sqrt(8)))**2.\nAnswer: 1170*sqrt(11) + 150979\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:05 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1370.03 + -1104.528. Let y = r + -265. What is y rounded to 2 dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -17. Calculate the remainder when 1\/(r + (-84)\/87) is divided by (4 - 1)*(-10)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255969661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - s + 90 = -4*s, 399 = 4*y + s. Let w = -92 + y. Suppose k = w*k - 606. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20583586070 to the nearest one hundred thousand.\nAnswer: -20583600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*6 + (sqrt(36) - sqrt(144)*1))\/((sqrt(588) + ((sqrt(588) - -1*sqrt(588)) + sqrt(588) - sqrt(588)) + sqrt(588))*5).\nAnswer: 17*sqrt(3)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/2 + 32587*m\/2 + 195450 = 0 for m.\nAnswer: -32575, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*j - 4 - 2*j**4 + 3*j**3 - 4*j**3 - 198*j + j**2 in the form z*j**3 + f*j**2 + b + p*j + a*j**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 - 0.06. What is the nearest to -0.1 in -1\/5, 3, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttvtvyvvtyy. What is prob of picking 2 v and 1 t?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 80452761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1669640, -1669543, -1669446, -1669349?\nAnswer: -1669252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6 - 2 - 2*l + 2 - 1 + 14*l**2. Is m(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002030511 to 5 decimal places.\nAnswer: -0.00203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277901167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3731, -3753, -3777, -3803, -3831, -3861?\nAnswer: -3893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 + 4*k. Let o(u) = 6*u**2 + 5*u. What is -3*o(d) + 2*r(d)?\nAnswer: -4*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-464)\/(-144) - 45) + 42.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:55 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.480626 grams?\nAnswer: 2480626000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 8*f - 5. Let o be q(5). Calculate the greatest common factor of o and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -23\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ab582 (base 12) in base 5?\nAnswer: 110213033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 5 = -2*c + 5*h, -3 = 3*c - 5*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**2\/2 - 3*f + 15. Let n be j(4). Suppose -4*q + 3 = -n. Is 2\/61 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3137423350 to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/(-10)*17\/15 and -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 0.2 (b) 21 (c) 1\/2 (d) 1\/3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Let h(l) = g - l - 3 - l. Let m(n) be the first derivative of n**3\/3 - 1. Calculate h(m(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 30)*4\/28.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26786 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9*q - 35. Let l(f) = f**2 + 36*f + 156. Let m be l(-31). Sort 5, m, q.\nAnswer: q, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + 2*j + 3. Let k be r(-2). Let i(o) = -5*o + k*o + o. Let u(t) = -7*t - 16*t - 12*t + 34*t. Determine u(i(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 14. What is the closest to 0.2 in -2, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:45 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57104*d**2 - 1370497*d\/4 + 3\/2.\nAnswer: (d - 6)*(228416*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2658238?\nAnswer: 2, 11, 120829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 - v + v)*(-v**2 - 4 + 4) - 1570*v + 1570*v + 2*v**2 + 300*v**4 as f*v**2 + b*v**3 + o + s*v + p*v**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*h - 42, 3*h = -2*g + 48 - 13. Calculate the highest common factor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -4*p + 11, -2*p - t = -13. Suppose 2*u = -p*n + 37, -3*u - 5*n + 14 + 29 = 0. Calculate the smallest common multiple of 7 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80665.69g in milligrams?\nAnswer: 80665690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -279.13 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose 3*r = -b*n + r - 68, -126 = 3*n - 5*r. Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3145*g*j**2 - 29*g*j - j**2 - 100370*j - 2 wrt g.\nAnswer: 3145*j**2 - 29*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, u: 2, o: 1, r: 1, e: 1, w: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -25*a**2 + 15*a - 141. Let v(h) = 23*h**2 - 14*h + 140. Let x(f) = 3*p(f) + 4*v(f). Is x(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43310 > 43296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 6656*u**2 - 93190*u\/7 + 46596\/7.\nAnswer: 2*(u - 1)**2*(u + 23298)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7500 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170267897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/((-2)\/5). Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239375 at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r, j + 94 = 2*j - 3*r. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/10 + 23*z**3\/15 + 14*z**2\/5 + 20*z + 1. Let l(s) be the first derivative of y(s). Factor l(o).\nAnswer: 2*(o + 7)*(3*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -3, -22, -61, -126, -223, -358, -537?\n\"Answer: -y**3 - y**2 + 5*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351025 (base 6) in base 15?\nAnswer: 17ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -12)*(-5)\/(-10)*(-40)\/(520\/26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 210 = 32*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 6 = -4*s + 5*w, -4*w - 30 = -5*s. Suppose -36 = -s*p - 7*p. Suppose -3*d = p - 13. Solve -4*y + 3 = m + 4, 5*m = d*y + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 times 28989\nAnswer: 110158.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/20 + (-336)\/288.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1743020373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2158 by -64668.\nAnswer: 1079\/32334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -229, -932, -2105, -3748, -5861, -8444, -11497?\n\"Answer: -235*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2*(-66)\/12. Suppose -2*z - b = -41. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84387963 and 38412.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000029201798 to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2233)\/319*-171*(-1)\/21\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwaawatwjaxa. What is prob of sequence jwaw?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2 - 2. Let s = m - 0. Let a = -5 - -4.8. What is the second smallest value in a, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 + 7*r. Let k(x) = -120*x - 826. What is the remainder when d(-5) is divided by k(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/99)\/((-93)\/341). Suppose -3*y = -8*y. Let u = y + 4. Solve -u = -4*n + 4*r, 3*n = g*r + 1 + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - sqrt(204)*-2) + sqrt(204))*-3 - ((sqrt(204) - -2*sqrt(204))*2 + sqrt(204)))\/(-6*(6*sqrt(192) + sqrt(192))).\nAnswer: 19*sqrt(17)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*r + 82 + 164 = 18. What is the nearest to 3 in -1\/9, r, 1.7, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44833 is divided by 11206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -17697953?\nAnswer: -17697952.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/10*950\/(-152).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14641 - 3962 = 477*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from rvrvcrotvmm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -858 - -861. Sort 6, -4, -7, t in increasing order.\nAnswer: -7, -4, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110101100101110110011?\nAnswer: -110101100101110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 204329330 to the nearest 100000.\nAnswer: 204300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4542052093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(12)\/(sqrt(4) - 4*sqrt(4))*3)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l*l**(-1))**24 assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/20 - 9\/(-6). Solve 0*m + w*f = -4*m - 31, -m + 8 = -4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 7. Let n(w) = -w + 8. Suppose -16 = 3*z - 7*z. Let a(o) = z*t(o) - 5*n(o). Let q be a(8). Does -17\/5 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 42 = -26. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x - 1. Suppose -3*h + 5*f = -114, h + 4*f = 34 + 4. Let b = -26 + h. Let n be (-4)\/5*(-30)\/b. Calculate r(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4670.4*-0.3\nAnswer: -1401.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 25*m**2 - 17 - m**3 - 2*m - 9*m + 0. Let x be b(-8). Suppose 10*v - x*v = 2721. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 32*j - 193 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -90, -178, -288, -432, -622?\n\"Answer: -2*g**3 + g**2 - 77*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e79 - 1337?\nAnswer: -51b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4387365 + 28?\nAnswer: -4387336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*j - 4*j + 65 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16*h**2 + 5*h - 9. Determine l(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4, 0, 70, 4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -485 + 484. Do -5.2 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66436 and 832?\nAnswer: 13818688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16048056877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 9*m + 5. Let x be u(-7). Suppose 11 = w - x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-96)\/108)\/(2\/24)*-3. Suppose -3*s + 5*q + 53 = 0, 4*s = -0*s - 3*q + v. Let l = -8 + 11. What is the least common multiple of s and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 916 in -0.1, 3\/7, -4, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -67.7777067782 from -0.034.\nAnswer: 67.7437067782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725564, 725529, 725494, 725459, 725424?\nAnswer: 725389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31050540 and 4941.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -19*n. Let o(y) = y**3 - 34*y**2 - 40*y + 180. Let x be o(35). Let a(g) = -13*g. Determine x*m(r) - 8*a(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (1 - 2 - -1). Suppose x + j*x = -24. Let i = 1 - x. Solve -i = -v + 5*h, v - 5*h = 4*v + 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:44 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 28*f + 190. Let d be u(9). Let a = -3392\/7 - -3522\/7. Is a not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 89. Let h be 3\/(6\/4) + m. Let x(g) = 16*g**3 + g + 1. Give x(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(((-41)\/82)\/(2\/(-4))). Find the second derivative of 45*k**2 + 2 + q - 2*k - 139 wrt k.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 5, a: 1, l: 1}. What is prob of sequence ta?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104535623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (10 + 2)\/3*32. Let x be 924*(100\/5)\/(6\/q). What is x rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176397 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20086113*p**4 - 5854061*p wrt p?\nAnswer: -241033356*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -4.7.\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 28 = m + 2*f, -f = -5*m - 29 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 4. Let b be q(0). Let o be (-4 + 2)\/(b\/8). Suppose -4528 = -o*l - 4*s, -3*s - 458 - 5242 = -5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10111?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1197 and 882?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2340 and 130.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -4\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-33)\/45 + (-1)\/(-3))*80355\/(-21428). Suppose 0 = -0*c + 5*c - 5, 0 = -m - c + 4. Suppose 2 - 1\/2*a**4 - 2*a - r*a**2 + 2*a**m = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043513 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146.2 - -133.128. Let i = 21 - 8. Let w = f + i. Round w to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17738\/(-362) + (-92)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-6)\/(-2))\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*k - 3*u = -127*k + 17, 4*k = 3*u + 31 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1\/4)*g**(-3\/8)*(g**(-2\/9)\/g*g)\/(g**8\/g) assuming g is positive.\nAnswer: g**(-493\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97125, -194249, -291371, -388491, -485609, -582725, -679839?\nAnswer: -776951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/2 + (-15)\/10. Suppose 0 = i + 3*s - 3095636 + 7895630, -i = -v*s + 4800008. What is i rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36762, -37211, -37960, -39009?\n\"Answer: -150*q**2 + q - 36613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -56*g**4 - 3*g**2 + 3*g + 50. Let m(o) = 2*o**4 + o**2 - o. Let i(c) = 6*m(c) + 2*u(c). Differentiate i(j) with respect to j.\nAnswer: -400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3903 + 62473\/16. Calculate the common denominator of n and -97\/454.\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -906819, -906816, -906811, -906804, -906795, -906784, -906771?\n\"Answer: n**2 - 906820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6541943 and 4963.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664 divided by 21?\nAnswer: 952\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0 - 1\/24*c**6 + 1\/20*c**5 + 0*c + 5\/24*c**4 - 7*c**2 + 2\/3*c**3. What are the prime factors of d(-2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 3137 in increasing order.\nAnswer: -10, 4, 3137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -1\/5, 254, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23748.\nAnswer: 2, 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -297 - -294. Let p be g + -4 + (-416)\/(-14). Which is smaller: p or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 13*n**2 + 4*n - 5. Let r be p(13). Suppose 4*m - 105 = r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoi when three letters picked without replacement from xirirrxxxloxxyl?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 212281.5 litres?\nAnswer: 212281500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 121596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {l: 1, v: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197075 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000091627 to 7 decimal places.\nAnswer: -0.0000916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -4623. Let l be x\/30 + 4\/30. Suppose 3*m - 3*c - l = 0, -3*m + 5*m - 4*c = 98. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 3556700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(39)\/(sqrt(192)*-2 - sqrt(3)))**2 + ((sqrt(1053) + -1)*2)**2.\nAnswer: -72*sqrt(13) + 1217570\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -8*h + 11*h. What is the second smallest value in h, -2, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42402, -42405, -42408, -42411?\nAnswer: -42414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 904720?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(9\/5)*(o*o**(-2))**(-28))**(-10) assuming o is positive.\nAnswer: o**(-262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 152108 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: What is (1 - -2) + -3 - (-39 - -39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73044*u**2 + 19663 wrt u?\nAnswer: -146088*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(76) + sqrt(76)) + sqrt(76) - -2*sqrt(76)*1)\/(sqrt(16)\/(sqrt(4)*2) + ((sqrt(324) - -2*sqrt(324) - sqrt(324)) + sqrt(324) - sqrt(324))).\nAnswer: -30*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 42 - 12. Let z(i) be the first derivative of -3*i**2\/2 + 5*i + 10. Determine z(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {u: 4, t: 1, m: 1, c: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - (3 - 0)) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q - m - 118 = 0, 5*q + 4*m = -192. Which is greater: q or -42?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2*r + 4, 5*h - 8*r + 5*r + 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/1236 + -218147\/1236. Let f = x - -178. Factor -f*l + 3\/2*l**2 + 0.\nAnswer: 3*l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 + -104. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/524871 and -19\/1924527.\nAnswer: 5773581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6655 + -3866. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202164, -3.3, -5 in ascending order.\nAnswer: -5, -3.3, 202164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 8 - 10)*(2 - 3*v**4 - 2).\nAnswer: 33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/(-3 - (-51)\/18). Let a = 29 + u. Solve 0 = 3*v - 3*t - 6, 5*v + 4*t = 1 - a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(84)*-2 - sqrt(84)) + sqrt(84) - 1*sqrt(84)*3)\/(-5*sqrt(21)\/sqrt(3)*3).\nAnswer: 22*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.52 - 12.82. What is the second biggest value in c, -0.5, 3, 4.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 z when three letters picked without replacement from muiiuzu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 655284015 to the nearest 100000.\nAnswer: 655300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -41*k - 45. Calculate q(11).\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/8 + 76211*s\/8.\nAnswer: s*(s + 76211)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75948)\/(-101264)*12*-1*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 3*w**3 - 5*w**2 - 3*w - 1. Let f(h) = 4*h**2 - 5*h - 1. Let s(u) = 763*u + 768. Let y be s(-1). What is y*f(v) - 2*a(v)?\nAnswer: 2*v**2 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 7 (c) -0.4 (d) -1\/5 (e) -1\/24 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4210*g**2 + 2054*g**2 + 2160*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:57 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfylfymyolyccy. Give prob of sequence lf.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 12. Let k be w(-10). Suppose 0 = -m - k*m + 60. Calculate the remainder when 57 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1257 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 33*n**3 - 2991*n**2 + 46545*n + 49500 = 0. What is n?\nAnswer: -33, -1, 20, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-8)*(3 - 6 - 11\/(44\/312))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 7 - (-231)\/63.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 6*a - 13. Let z be t(-7). Suppose 13*g - 9*g - z = 0. Suppose 30*j = g*j. Does 1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from gtyex?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:55 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16117976?\nAnswer: 2, 7, 287821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + k = 0, -46*k + 49*k + 10 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12886 and -3.\nAnswer: 38658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 33*z - 142. Give i(35).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m**5\/5 + 85*m**4\/4 - 233*m**3\/3 + 208. What is the third derivative of c(i) wrt i?\nAnswer: -48*i + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38 and 26?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w*w*w\/w**(1\/6))**(2\/13) assuming w is positive.\nAnswer: w**(29\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose -3*u - 4*k + 16 = h, u - 15 = -2*u - 3*k. Let m = u + 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 15) to base 9\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7128\/643 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*w**2 + 39*w + 412*w**2 - 205*w**2 + 174*w + 478*w.\nAnswer: w**2 + 691*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -611, -4311, -10477, -19109, -30207, -43771, -59801?\n\"Answer: -1233*u**2 - u + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125250 divided by 376.\nAnswer: -62625\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-67)\/(-1530) + (-132)\/594. Let v = 104551\/85 - 1230. Let x = v + f. What is the biggest value in -5, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (6 + -15) - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose z*l - l = -9. Suppose -3*y = -2*b - 3, 3*b - 2*y + 0 = -2. What is the third smallest value in l, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2268*b + 1170171. Determine m(516).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + v = 55, -3*n + 14 = 3*v - 37. Suppose -2*l = h - n, 15 = l + 3*h + 3. What is the remainder when 79 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.167, 16, -5, -26 in ascending order.\nAnswer: -26, -5, 0.167, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -202?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 8. Let o be p(-8). Let l(b) = 2 + 11 + 2*b**2 + 2 + 11*b. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 35167.\nAnswer: -3, 2, 35167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1*(-3)\/((-12)\/(-16))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 9:47 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1137276 and -257.943.\nAnswer: 1137018.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 less than -59304.1247639?\nAnswer: -59172.1247639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 370*o**2 + 3886*o - 46018.\nAnswer: 2*(o - 7)*(o + 19)*(o + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwuuubuuwkmwkd. What is prob of sequence kk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 442*n + 832 + 1820 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-13)\/52)\/((-5)\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*o**3 - 1 - 11 - 2*o**2 + 9 - 4*o to the form b + t*o**2 + d*o + p*o**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(-1*1\/1). Let m(q) = -q**3 - 13*q**2 - 24*q - 16. Let d be m(s). Suppose -1 = -c - 3*u + d, 2*c - 2*u - 14 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 4, -28\/5, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from -738276.\nAnswer: -738309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.38 (b) -5 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 + 277. Suppose -3*b = -j, 3*l - 10*b = -5*b + 5255. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-680)\/(-40) - 16)*(-5)\/(-10)*100?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 27 - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.18233 centuries to months.\nAnswer: 84218.796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u + 2*u**2 + 3\/2*u**3 - 1\/3*u**4 - 1\/120*u**6 + 2\/15*u**5 + 0. List the prime factors of s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1614*0.014\nAnswer: -22.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11288*q**3 - 6*q**2 + 8*q - 3. Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-3)\/(-1)))\/((-1030)\/1854).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 9 = 784. Sort 0, -1, 5, c in decreasing order.\nAnswer: c, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 75\/2. Suppose 0 = -4*m + 4*h - 248, -2*m - 96 + 7 = 5*h. Let s = m + 287\/5. Which is the nearest to s? (a) 5 (b) 8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k + v - 10104 + 10136, 46 = -2*k - 5*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21551 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*l**4 + 62*h*l**2 - 23*h*l + 2*l**5 - 6*l - 3 wrt l.\nAnswer: -24*h*l**2 + 124*h + 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 198935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1628 days in seconds?\nAnswer: 100465.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017530203 to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2104, 1, -1, -2, -3 in descending order.\nAnswer: 2104, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -209267.443 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14\/9)\/(h\/(h**(-3\/26)\/h)))**(-1\/33) assuming h is positive.\nAnswer: h**(859\/7722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/233 and 27\/90404?\nAnswer: 90404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31672, -63362, -95044, -126712, -158360?\n\"Answer: x**3 - 2*x**2 - 31691*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7160693209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25412757?\nAnswer: 3, 8470919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/81 and -73\/270.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 866, 860, 848, 824, 782, 716, 620?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/15)\/((-6)\/(-198)). Sort -2, 1, l in ascending order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 6268 = -11204. Suppose -h = -3*j - 5*j. Let v = 613 - j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-15))\/((-6)\/90*-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*g. Suppose t = -4*k - 16, -10 = -g*t + 5*k - 3. Let r = t - -3. Sort 0, r, 4 in descending order.\nAnswer: 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1700))*3)**2 - sqrt(1700).\nAnswer: -190*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1075651 - 48402311\/45. Let f = 231\/5 - y. Calculate the common denominator of -11 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*q + 1201*q + 3*s - 90 = 600*q, -5*q - 4*s = -119 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628 = f - 11*w, 0 = -1276*f + 1271*f + 3*w - 176 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67\/2 - 33. Let d(o) = -o + 15. Let z be d(11). Suppose 5*t - 2*w - 13 = -0*w, 5*t - z*w - 21 = 0. Is t less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1964347, -1964351, -1964357, -1964365, -1964375, -1964387, -1964401?\nAnswer: -1964417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4.03. Let b = 0.16 + 3.84. What is the third biggest value in l, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.4. Let x = -74\/3 + 24. Let d be (-18 - -24)*(-2)\/(-126). Which is the second biggest value? (a) d (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 19 = 31. Suppose 0 = -0*v + r*v + 396. Let l = 115 + v. What is the lowest common multiple of 2 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*a = 2*a + 1095, -3*s - a = -3250. Let h = -762 + s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/55)\/(1942\/43695)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 29649 in increasing order.\nAnswer: -3, 8, 29649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 84582?\nAnswer: 592074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*y, -26*y + 27*y + 7 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 2*o - 2*o**2 + 2 + o**3)*(5249*o - 466 - 476 + 942) to b*o + x + k*o**3 + g*o**2 + n*o**4 and give b.\nAnswer: 10498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 831220.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/4, 1\/8, -1\/3, 3 in descending order.\nAnswer: 25\/4, 3, 1\/8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**4 - 3*m**3 - 2280981*m**2 - 99*m + 314844?\nAnswer: -48*m**2 - 18*m - 4561962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n + 6. Let w be a(-6). Let r = w - 33. Solve 6*j - j + 5*y = -30, r*y = 5*j + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 2 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10439 (base 13) to base 2\nAnswer: -111001001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:42 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -207*h - 117. List the prime factors of l(-17).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31988324 or 31988336?\nAnswer: 31988336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 10*r**2 - 11*r + 3. Let p be s(11). Let d be 3 - 3\/(9\/p). Suppose 3*g + 88 = 7*g. Solve 2*x = 5*z - 11, 6*z + 5*x = d*z + g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/27685405 and -27\/2892505.\nAnswer: 193797835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5*l*l*(l\/l**(-2\/9))\/l assuming l is positive.\nAnswer: l**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 35 = -14*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 14*m + 13. Let b(t) = t**3 - 8*t**2 - 38*t + 165. Let l be b(10). Determine z(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1284.63 from -0.01.\nAnswer: 1284.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2559.579 rounded to the nearest 10?\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (447\/1043)\/(1 - (-40)\/(-42)). Solve -13*u - 12 = -h*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v + 16*v**4 - 22*v**4 + 5*v**4)*(-6 + 1 - 1).\nAnswer: 6*v**4 - 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377119 is divided by 125233.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -414 and 3.8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80358057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and -5 + 4 + 35\/5*7.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 - 79065483735*f + 79065483735*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3057 + -2008. What is the remainder when j is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Let z be ((-70)\/(-28))\/(q\/4). Let k(u) = 2*u**3 - 4*u**2 + 2*u. Calculate k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-780)\/(-50) + -15)*(-5)\/3. Sort q, 5, 91.\nAnswer: q, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-30)\/(-4))*(-4 - 2). Suppose 3*j = -w*j + 28. Suppose -27*z - j = -23*z. Is 1\/6 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28256110, 28256114, 28256120, 28256128, 28256138, 28256150?\nAnswer: 28256164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*a = -148*a + 224. Solve 27*s + 34*s = a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2369 and 281 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, s: 14}. What is prob of sequence srs?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6082*v**2 - 6091*v wrt v?\nAnswer: -12164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893 - 19 = 63*a - 156 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 277015233\/(-77) + 66\/154. Round q to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32954984 to the nearest integer?\nAnswer: 5741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2255731981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -o. Suppose 3*p = 6, 28 = -o*v + 2*p + 26. Let i = 0.8 - 0.3. Which is the third smallest value? (a) -4 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + t = -3*t, d + 7 = 5*t. Let p = 3 - d. Solve -2*y - 2*o + 12 = 0, -2*y - p*o + 6 = -12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1612\/(-1612))\/(1*1\/(-18))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145 times 4.6?\nAnswer: 0.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*a**3 - 139*a**3 + 276*a**3 - 60 + 60.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-132)\/(-770))\/(8\/84).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 3 in ascending order.\nAnswer: -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 723644 to the nearest 1000.\nAnswer: 724000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70153383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/((i\/(i*i\/(i*i\/i**(-1\/2)*i)))\/i))\/i))\/(i*i**(-1\/14)))\/(i**(-3\/11)*i*i\/i**(1\/6)) assuming i is positive.\nAnswer: i**(5\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h. Let p(x) = -769*x - 1. Give p(n(s)).\nAnswer: 6152*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 234973 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149161, 298324, 447487, 596650, 745813?\nAnswer: 894976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 2*k + 4*d, -k + 0*k + 307 = 4*d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:33 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 72092*j\/9 - 72094\/9.\nAnswer: 2*(j - 1)*(j + 36047)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 9. Let g = n + 22. Solve 3*b - 12 = 0, -5*d + g = -d - 3*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/3*(-6)\/8. Suppose 0 = 3*n - y*n - 44. Is n + (-5)\/5*(-8)\/2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/33 + -125\/132. What is the smallest value in v, -5, -2\/7, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 14*n**2 - 12*n - 17. Let j be f(13). Let m be ((-330088)\/(-48))\/(-1 - j). Let u = m + -2285. Find the common denominator of u and 31\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 6*y - 7. Let c be i(7). Determine b so that -b - 5*b**2 - 5\/4*b**3 - 21\/4*b**5 + 25\/2*b**4 + c = 0.\nAnswer: -1\/3, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) - sqrt(225)\/sqrt(5) - (sqrt(5) + 1)*-4.\nAnswer: 4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 10 + 10 + c)*(5 - 4 - 12).\nAnswer: -11*c + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.061016, 0.5, -0.9?\nAnswer: -0.061016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*(-2)\/(24\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o + 4. Let l(v) = 18*v**2 - 4. Determine x(l(t)).\nAnswer: -144*t**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (603\/189 - 3)\/(26\/(-57)) and 32\/14*(3 - 1).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -69. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 + 5 = 0. Let s(f) = 8*f**2 + f + 1. Let w be s(l). What is the units digit of (90\/(-4))\/((-6)\/w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 9*q**2 + q + 3. Let y be b(-9). Let x be ((-15)\/2)\/(3\/y). Find the first derivative of x - 10*c**3 - 4 + c**3 wrt c.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*k + 4*l - 41, -30 = -4*k - 3*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 - 7*h - 2. Let u be v(-2). Suppose 0*d + 389 = u*l - d, 0 = -l - d + 96. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7491.748mm?\nAnswer: 7491748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022008963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*i*l**3*n + 22*i*l**3 - 117*i*l**2*n + i*l**2 + l**3*n - 19*l**3 - l**2*n - n - 6 wrt l.\nAnswer: -1074*i*n + 132*i + 6*n - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*p = -8, -2*p + 0 = -u + 7. Let n = u + 22. What is the remainder when n is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z**3 + 3*z**4 + 115*z**2 - 136*z**2 + 15*z + 18 + 0*z**4.\nAnswer: 3*(z - 6)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439, 422, 361, 244, 59, -206, -563?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 5*l**2 - 3*l - 4*l**2 + l**2. Let z be r(2). What is the nearest to 2\/5 in -5\/4, 3\/7, z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**4 - 6116*f**2*o + f - 72*o + 16 wrt f.\nAnswer: 48*f**2 - 12232*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 - -1112?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*a - 9*a + a**2)*(-32*a - 2 - 103*a + 39*a) - a**2 - a**3 + a**2 in the form v*a + q + i*a**3 + w*a**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -33.6. Let r = h + 0.4. What is r rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3152 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77\/4 - -215\/12. Let z be 10\/6 + 1*-1. What is the nearest to z in m, -2\/13, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 - x**4\/24 + 2*x**3 - 12*x**2. Give h(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -74) + (-2 - (0 + -6))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((-32)\/(-4) + -4). Suppose -7 = m - 4. What is the tens digit of (g\/(-3))\/(m\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**6\/360 + h**4\/8 - h**3\/6 - 3*h**2. Let i(u) be the first derivative of l(u). Find the first derivative of i(w) wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -31*p + 902484. What are the prime factors of p?\nAnswer: 11, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 95263335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.38 + -0.9. Let d = w + -27.48. Let q = d + 27. Which is greater: -7\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41140430 (base 5) in base 12?\nAnswer: 141261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/43568 and 121\/315868?\nAnswer: 1263472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 13*b - 16. Let w be i(9). What is the highest common divisor of w and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((11 - 8) + -4)) + (-5 - 18)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722*d**3\/5 - 439508*d**2\/5 + 1198808*d\/5 - 819312\/5 = 0. Calculate d.\nAnswer: 26\/19, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -q + d, 0 = -4*q + 1440*d - 1441*d + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**4 + 6*t**3 - 2*t**2 - 6*t - 7. Let q(f) = 3*f**3 - f**2 - 3*f - 3. Let n = 31 - 35. Let i(y) = n*l(y) + 10*q(y). Factor i(d).\nAnswer: 2*(d - 1)*(d + 1)**2*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1048)\/(-1310))\/((-4)\/(-65))*(-2)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - t - 2)*(6 - 2 + 2) - 2*t - 1 + 3*t + 0 to the form j + v*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 221 - 105 + 315. Let p(s) = -4*s + 2. What is p(l(w))?\nAnswer: -8*w + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -11862.\nAnswer: -2372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102\/(-144) + (-3)\/(-9). Which is the nearest to -1\/18? (a) 4\/5 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251260000 rounded to the nearest one million?\nAnswer: -251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10)*(11 - 16). Which is the nearest to u? (a) -5 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 - 5*m**3\/6 + m**2\/2 + m. Suppose 5*q - 32 + 7 = 0. Determine u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p + 92*p**2 + 1 - 1 + 12*p + 2*p in the form q + c*p**2 + z*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/105 - 73*y**5\/12 + y**4\/24 + 86*y**3\/3 - 3064*y**2. Find the second derivative of v(c) wrt c.\nAnswer: 24*c**2 - 730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let t(m) = -m**2 + 0*m**n + 0*m**2. Let l(x) = 2*x. Determine t(l(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2190*t = 2210*t - 4*z + 48, -3 = -4*t + 5*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 m when four letters picked without replacement from {m: 8, s: 2, t: 4}?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192787 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 2, 2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x - 4*x)*(2 - 4 + 0)*(-4*x + x + 2*x) + (-2*x - x + x)*(x - 2*x - x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b + 8 = 0. Suppose -7*v + 2*v = -5, 231 = -5*g - 4*v. Let y = g - -66. Solve y = f + 5*u, -4*f + b = -8*f + u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 + 0 - 1. Suppose m = 11*i - 9*i + 8. What are the prime factors of i\/14 - 3410\/(-77)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39647.\nAnswer: 41, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 291 and 1843.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 - 100. Suppose -3*b - 11 = -r, 0*b + 4*b = 3*r - h. Solve -32 = 3*w + 4*t + t, 0 = -4*w - r*t - 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6, -4*c + 3021 = 5*l - 2*c. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 314\/6*3\/4. Let n = y - 39. What is the nearest to -0.1 in 2\/7, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 1.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -159. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = s - 30. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 1. Let g be 1 + (0\/(-2))\/3. Let d(o) = 23 - 36 + 8 + 2*o. Give g*d(i) + 3*j(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 7:08 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31115*y + 17664 = 31391*y for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1744461*a**4 - 5*a**2 + 227054 wrt a.\nAnswer: -41867064*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 485344420 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 5. Let p be b(8). Suppose -2*o - 3 = -p*o. Differentiate c**2 + 3*c**2 + 4 - 3 + o with respect to c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dc12d3 (base 15) in base 9?\nAnswer: 21647460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-2 + (-1 - -1)). Let u be 0 + s - (-3 + -4). Suppose -u - 13 = -k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13308, 13310, 13312?\nAnswer: 13314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(85)*2)\/(sqrt(5) - (sqrt(5) - sqrt(125))*1))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1783 divided by -6.\nAnswer: 1783\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by -3.\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -650*s + 672*s - 44. Solve -16\/3*x + 2\/3*x**s - 6 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:24 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 4 - 38\/(-2). Suppose -4*r = -2*r - m. Let o = 14 + r. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/28 and -13\/74986?\nAnswer: 1049804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1110*f + f**2 + 1110*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.36044592 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 10884458 and 10884456 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14*((-55)\/(-10) - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -1\/4 (c) 2\/21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2\/9 (b) -1\/3 (c) -1 (d) -0.25 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0 - 15. Let l be (-5)\/(p\/2) - -18. Suppose x + 4*x - l = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 54. Let t be d(-36). What is the highest common divisor of 152 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 3*f + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 4. Suppose -n + 2*q = 28, -37 = 3*n - q + 37. Let d = -66 + 46. Let s be -10 + (n\/d)\/(2\/5). Calculate f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxjffdfxfdxxfxtfjf. What is prob of picking 2 f and 1 d?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*v**4 - 36*v - 36*v - 98*v**3 - 50*v**2 - 138*v**2 + 222*v**3 + 12*v**5 = 0. Calculate v.\nAnswer: -9, -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/5, 1\/13, 18, 2, -2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384478 is divided by 12102?\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/455, -5, -68?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.23 + 40.73. What is the closest to 0 in -0.2, 4\/3, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r. Let s(b) = b. Let q(t) = -h(t) + 3*s(t). Suppose 2*f - 75 = 17*f. Calculate the remainder when 19 is divided by q(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50976)\/(-295))\/12*30\/84.\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20828034 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -38.3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 81\/(-19)*(-2)\/(-24) + 88\/352. Let g = -6 - -4. Put 0.5, 1, g, j in ascending order.\nAnswer: g, j, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 722465715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.08, 77, -0.2, 0.3, -4, -1.44?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2511*c + 3488*c - 4 + 2499*c + 3.\nAnswer: 8498*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 7*p - 7. Let y be r(-5). Suppose 0 = -2*s - 0*s + y*m + 13, s + 4*m = -10. Solve 4*x = s*x - 3*t - 18, 4*x + 3*t = -24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.239 + 2.199. Which is bigger: y or -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -118, 36, -25, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/139 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 735127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12585*i**3 - 2*i**2 + 1140*i - 14755292 wrt i.\nAnswer: -37755*i**2 - 4*i + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:02 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67\/3 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1338 - 1340. Let k(v) = 2*v**2 + 6*v + 3. Determine k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 4*b - 2*c, 2*b + 4*c = 18. What is the third biggest value in 0.2, b, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 24*d + 11. Let b(k) = 5*k - 12. Let i be b(4). Is p(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + -11. Let o = w - -50. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1092 and 223379988?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 51*w. Let p(q) = 26*q. Let f(o) = -5*p(o) + 2*x(o). Let d(y) = 3607787 - 3607787 + 3*y. Calculate d(f(g)).\nAnswer: -84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(2 - 1)*(-59975)\/(-75). Let n = b - -5080. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/7 + 1623*l**2\/7 + 3267*l\/7 - 4887\/7 = 0?\nAnswer: -3, 1, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 30. Suppose -3*v - 25 = -4*d, -2*v = -0*v - t. Suppose -k - d = -3*k. Sort k, -2, 4.\nAnswer: -2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**6 - b**4 - b**2. Let k(o) = 12*o**6 + 5*o**4 + 4*o**2. Let d = 4 + -3. Let g(u) = d*k(u) + 5*v(u). What is the third derivative of g(j) wrt j?\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23161 or -23162?\nAnswer: -23162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34596155 rounded to four decimal places?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-5)\/5*(-6)\/(-150)*1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131350071 + 15?\nAnswer: -131350056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -4*q - d, -13*q + 24 = -16*q - 4*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-27))\/((-16)\/24)*0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 65 + 39. What is the biggest value in -0.5, -3, 1\/5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Let t(x) = -x - 5. Let o(y) = -y - 4. Let h be (-5 + 12)*6\/(-21). Let s(n) = h*t(n) + v*o(n). Give s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/(u\/(u\/u**(2\/5))))\/u)\/u*u**9)**(1\/12))**(-4) assuming u is positive.\nAnswer: u**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0 + 27\/5*n**6 + 4\/3*n**3 + 6*n + 117\/10*n**5 + 20\/3*n**4 + 0*n**2. Factor t(b).\nAnswer: 2*b*(b + 1)*(9*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.235 + 0.06. What is q rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1307 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 44 = 5*l, 4*w - 5*l + 5 = 33. Is (-9)\/(-2)*40\/w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 352*g**2 + 11*g - 27. Is 45 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171 + -169. Which is the closest to 1? (a) 2\/9 (b) -3\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 440 = 5*q, 0 = 5*q - 5*a + 2*a - 430. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 711 and 3.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = c + 13, 5*c + 7 - 2 = 0. Suppose 0 = k*q - 4*p - 52, 3*q + 2*p = -3*p + 15. Calculate the smallest common multiple of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 141*i - 143*i - 265 = 0, 0 = -h - 2*i + 53. Solve 5*q + 5*t + 13 = h, 4*t = -q + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -59. Calculate the remainder when (-3 + -3 + 4)*-47 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562839269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -5, -2.\nAnswer: -5, -2, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddid when four letters picked without replacement from oiotooodojidditdi?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.21455156 to three dps.\nAnswer: 2.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-8)*-2 + 1\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 + 274*x - 59. Calculate m(43).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = 15. Let d = 0 - j. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3790, -14916, -33532, -59692, -93450, -134860, -183976?\nAnswer: -240852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 130 - 107 = 5*u, 0 = -5*u + 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*j - 3, -10 = -5*b - 4*j. Let s = 5 - b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 14795*b - 88827. Calculate f(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12313122 + 4?\nAnswer: 12313131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -964985 divided by 192997.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 1651042 + 11084 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15298 - 8915. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 872, 1718, 2564, 3410, 4256?\n\"Answer: 846*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*c - 12, 0 = -4*r + 4*c - 7 - 5. Let d(j) = -j**3 - 4*j**2 - 5*j - 2. Let q be d(-3). Sort -2, q, r in descending order.\nAnswer: q, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1782)*1 + sqrt(44)\/(sqrt(4)\/sqrt(2))))\/(sqrt(77)\/(sqrt(56)\/sqrt(8)) + sqrt(704)*1).\nAnswer: -20*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 37*o**2 - o - 1. Let w be x(-1). Suppose -w - 47 = -k. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.74 and 0.077293.\nAnswer: 0.817293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.013 from -58.6.\nAnswer: -58.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 282349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118903 or 119150?\nAnswer: 119150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1958 + 5?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -577334 divided by 252?\nAnswer: -288667\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**2\/2 - q + 5. Let k(n) = -7*n - 1. Let d(j) = k(j) + 5*m(j). Differentiate d(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 7*j**2 - 4*j + 8. Let o be a(-6). Let t(z) = -z**3 - 2*z**2 - 3*z + 3. What are the prime factors of t(o)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d**3 - 5*d**2 + 2*d - 163. Give w(-6).\nAnswer: -2299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 34, -3\/5, 0.2, -2 in ascending order.\nAnswer: -2, -3\/5, -2\/11, 0.2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*54\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:16 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 50 - 40 + 0*h + h. Is l(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138578, -277161, -415746, -554333, -692922?\nAnswer: -831513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/396, 7\/25, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46953 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*n - n + 5*k, -3*n = k + 16. Let x be (-2)\/9 - 125\/45. Do x and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*y + 23, 65 = 4*m + y. Suppose 0 = -4*k + 45 + 35. Factor m - k*n - 10\/3*n**3 - 55\/3*n**2.\nAnswer: -5*(n + 3)**2*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (-7 - -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-21)\/35)\/(1\/(1365\/(-42))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Let k be (-16 - -28) + (7 + -7)\/8. Solve -2*d + n - k = -3*n, -f*n = d - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let x be 6\/4*-24 - l. Let d = 0 - x. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 + 42*p**2 + 4847*p\/2 - 85805\/3.\nAnswer: (p - 10)*(p + 131)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**3 - 2*j**2 - 6*j + 11. Let x(n) = -4*n**3 + n**2 + 3*n - 6. Give 3*a(q) + 5*x(q).\nAnswer: q**3 - q**2 - 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 3. Let k(v) = 35*v**2. Determine o(k(u)).\nAnswer: 70*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 483030*q + 72432000.\nAnswer: (q + 150)*(q + 482880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzvvrzerzz. Give prob of picking 2 z and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15223, -30486, -45749, -61012, -76275?\n\"Answer: -15263*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((3\/(-2))\/1). Let k be 0 + (7 + -1 - a). Suppose 4*j + 6*y - 5*y - 21 = 0, -5*y = 2*j - 33. Solve i - k = 4*l, -l - 2*i + i + j = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 32. Suppose 9041*f - 9017*f = 96. Calculate k(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-12)\/(-100)*-10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 834*n**4 + 81*n**3 - 3*n + 13260812 wrt n?\nAnswer: 3336*n**3 + 243*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438320?\nAnswer: 2, 3, 5, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -11. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 750 or 2248\/3?\nAnswer: 750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 157, 299, 431, 547, 641?\n\"Answer: -c**3 + c**2 + 146*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 22) + (9 - 20) + 64.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -237\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 9 = -u - u, 0 = -u + a + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 22 - 7 + c**2. Let x(w) = w**2 - 3*w + 2. Let v be x(2). Calculate the remainder when 44 is divided by y(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:58 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5630 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k**2 + k - 9*k**2 - 17*k**2 - 2*k - k**3 - 17*k**4 to the form q + w*k**2 + p*k**4 + h*k**3 + f*k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 + 11*t**2 + 2*t - 4. Suppose 3*c + 2*z - 20 = 0, -c - 2*c + 16 = -2*z. Let u(m) = -3*m**3 + 6*m**2 + m - 2. What is c*h(i) - 11*u(i)?\nAnswer: 3*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610511041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15704 by 1963.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(0 + sqrt(171) + 0 - (-3 + sqrt(171)*-4))**2*-5.\nAnswer: 3600*sqrt(19) + 171360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/60 + v**4\/4 + 5*v**3\/6 + 43*v**2 - 1. Give s(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 1843361*z + 7373443\/4.\nAnswer: (z + 1)*(z + 7373443)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {h: 1, s: 2, v: 3, g: 3, l: 4, i: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 35 - (-1 - 1). Let d be 72\/27*(-9)\/6. Let s be d\/(20\/15) - -16. Calculate the highest common factor of p and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68902, 68903, 68904, 68905?\n\"Answer: a + 68901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-1) - (-4 - -3). Suppose 0 = -2*c - 5*u + 44, 2*c + y*u = 5*c - 16. Solve 3*l = 4*m - c, -5*l - 20 = 2*m - 7*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -278 - -220. Let t = -54 - q. Let u(j) = 9*j**2 - 5*j. Let k(d) = 4*d**2 - 2*d. Let h(v) = 7*k(v) - 3*u(v). What is h(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084885159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -351aa1 + 111?\nAnswer: -351990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let z = 104.833 + 0.167. Let d = -104.8 + z. What is the closest to l in -4, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1900) + 1) - -1*-3*sqrt(1900))**2 - (sqrt(1900) + sqrt(1900) + -1 + 3 - (sqrt(1900) + 1)*-6)**2*5.\nAnswer: -606416 - 6440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2576969 - 196.72?\nAnswer: -196.9776969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from atnfx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16513 + 16736. Calculate the remainder when 274 is divided by z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-752)\/(-120)*-3 + 19?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**2 + 2*y - 1. Suppose 0*p = p. Let t = p - -1. What is the units digit of g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-120))\/(-9*9\/4617*6\/4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18228?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 3, -12, 11, 259 in ascending order.\nAnswer: -12, 3, 5, 6, 11, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 795*p - 814*p - 4*y, -5*p + 3 = -3*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*2*(-35)\/56. Suppose 68 - 14 = 6*x. Suppose -5*c + 33 = -2*h, 5*h + c + 6 + x = 0. Put 5, v, h in descending order.\nAnswer: 5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxuuux. What is prob of picking 1 x and 1 u?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*-0.6165\nAnswer: 0.92475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -310 - 80. Let c = 392.85 + k. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*l + 20, -3*x - 12 = 3*l - 2*l. Let p(k) = -k. Let g be p(x). Suppose 0 = g*q - 8, -b + 6*b + 3*q = 81. Solve -3*w - 2*w + b = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 112\/76 - 1. Does z = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309498 = 187*j - 250193. Round j to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -47\/2, 0, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/8 + 36 + (-10188)\/288?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58 and 15.6455.\nAnswer: -907.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 118, 3499, 2 in decreasing order.\nAnswer: 3499, 118, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvf when three letters picked without replacement from {v: 1, f: 10, w: 1, l: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 + 118 + (2 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 25*c + 24. What is the remainder when 118 is divided by q(25)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 2*p**2 + 3*p**3 + 5*p - 2*p + 5 - 5*p**3. Let g be j(4). Let a be (-6)\/10 - g\/25. Solve a*z + 3 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -481 - -799. Let i = 317.9861 - n. Round i to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 - 2932*x**2\/3 + 3016*x\/3 + 58720\/3.\nAnswer: -4*(x - 5)*(x + 4)*(x + 734)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110110110000011010 - 0?\nAnswer: -110110110110000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.387886 litres to millilitres.\nAnswer: 3387.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 4*x**2 + (-x + 5*x - 5*x)*(-2*x - 2*x + 2*x))*(-3*x**2 - 3473*x + 3447*x + 2*x**2 - 8).\nAnswer: -3*x**4 - 78*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = -n, 2 = -n - 3. Let t = 3 + q. Is 13 a factor of 24*1 - (t - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11775\/365025*(2\/(-4) - (-3)\/30)?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(10\/7)))\/z)\/z**(7\/5) assuming z is positive.\nAnswer: z**(-134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639223.5 rounded to the nearest 1000?\nAnswer: 1639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10*(3 + 2). Find the second derivative of -s*t + 2*t**5 - 3*t**5 - t wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4096*l + 4*y - 100 = -4092*l, 5*y - 115 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512322 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: How many minutes are there between 6:27 PM and 10:10 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 2*q**3\/3 + 7*q**2\/2 - 14*q. Let c(g) = g + 1. Calculate 2*c(k) - j(k).\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2711 - 4.\nAnswer: 2707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95257?\nAnswer: 95257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 - 64*v + 5. Let u be s(0). Solve -3*l = 8*g - 9*g, 4*l = -u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**2 - 279*h + 1382. Give o(5).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -209*j - 2915. Let a be v(-14). Solve 3*g + 13 = 8*c - 7*c, -2*c + a = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2 + 1258*o + 2524 = 0.\nAnswer: -2, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.9*2.13.\nAnswer: -114.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 39*k**3 - 541*k**2 - 58*k - 29. What is g(14)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 213409567 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 351959596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 302 * -637\nAnswer: -192374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 508*o**3 - 6*o**2 + 1520*o + 1016.\nAnswer: 2*(o - 254)*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 347359570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(405)*1 + -1 - sqrt(405)))**2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 0 + 7)*(-4*y + 0*y + y)*(7 - 2 + 1).\nAnswer: -396*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2705266244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1357 - 17669\/13. Let g(o) = -o**3 - o**2 + 19*o + 1. Let p be g(4). Is i equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588639.\nAnswer: 3, 19, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0, 1\/3, 0.2, -306\/25, 10?\nAnswer: -306\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.8 - 18. Let x = 0.052 + -0.552. Which is the closest to -0.1? (a) x (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.36371615.\nAnswer: 2.1822969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13299, -7, -1, -4?\nAnswer: -13299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 77. Let m be (-3)\/y + -2 + 9 + -1. Calculate the greatest common factor of m and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-4\/3))\/y)\/y*y**(2\/29)\/y assuming y is positive.\nAnswer: y**(-52\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {q: 1, r: 4, b: 1, y: 2, w: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -66, -135, -222, -321, -426, -531?\n\"Answer: p**3 - 18*p**2 + 2*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - i - 16, h + i + 0*i = 2. Let k = 9 - h. Suppose 0*p + k = -3*p. Put 2, p, 3 in descending order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1711*u**2 + 3878*u**2 + 7115*u**2.\nAnswer: 9282*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2972179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 54 - 57 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.7, 498, 0.43, -5\/4 in ascending order.\nAnswer: -2, -1.7, -5\/4, 0.43, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 811, 1316, 1821?\nAnswer: 2326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1 + -4)**2*-5 + -3.\nAnswer: -2063 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 + 0.597.\nAnswer: -112.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44310585337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18ba9 (base 12) to base 3.\nAnswer: 1211202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16361357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*(h\/(h*h*h*h**(-11\/3)))\/h))\/(h\/(((h*(h*h\/(h\/(h\/(h\/((h\/h**(-3\/2))\/h)))))\/h)\/h*h)\/h)))**15)**(-1\/3) assuming h is positive.\nAnswer: h**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 65 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 130 + 51 + 1008*o)*(7 - 3 - 2).\nAnswer: 2016*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29841\/2 or -14920?\nAnswer: -14920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(21) - (sqrt(1344) - (sqrt(1344)*-2 - sqrt(1344) - sqrt(1344))))\/sqrt(3) + ((sqrt(35) - (sqrt(560) - sqrt(560)*2))\/sqrt(5) + -3)**2)*-4.\nAnswer: -736 - 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 1271*m**5\/4 - 3374*m**2 - m - 2498. Differentiate k(f) with respect to f.\nAnswer: 19065*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149620 to the power of 1\/2, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**1*m*m*m\/(m\/(m*m**(1\/8)*m*m))*(m\/m**(-3\/4))\/(m**(-3)*m) assuming m is positive.\nAnswer: m**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*sqrt(5) - sqrt(5)) + ((sqrt(5)*-1)**2 - sqrt(5))*-6 - (1 + (sqrt(320) + 1*sqrt(320) + 3)**2).\nAnswer: -1320 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 6) to base 12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511*k + 28935059 + 6348980 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29502 by 4917.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(475) + -1)**2.\nAnswer: -10*sqrt(19) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*m**4 - 71 - 158*m**4 + 73 - m**2 - m**2 to n*m**2 + g*m**3 + a*m + t + i*m**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 6569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 - 93*h**2 - 194*h**2.\nAnswer: -303*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30\/(-18))\/(1\/(-12))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**20\/o*o**(-3)\/o*o*o assuming o is positive.\nAnswer: o**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 22. Let m be l(8). Suppose -3*u + 6*u - m = 0. Let s be (10\/6)\/(u\/12). Solve 3*c - s*v = -0*c + 6, 12 = -4*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 6*b - 16 + (-4 + 2 + 1)*(3*b + 1 - 1) + 3*b + b - 5*b - 3*b + 5*b + 0*b as p + c*b and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 940597535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 687738328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caw when three letters picked without replacement from wscaq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 4\/7, 9474, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60173, -481494, -1625081, -3852068, -7523589, -13000778, -20644769, -30816696?\nAnswer: -43877693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 1430633554?\nAnswer: 1430633552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - (65 - (-31 - -67))) + 101.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4955 - 630. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/2 - 39*s**2\/2 + 40*s. Differentiate a(j) with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9737 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 989 divide 1298299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.06, -0.4, -5, -1\/222?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.4 (c) 5 (d) -5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 15, 2*p - 5*p - g = 3. Suppose 0 = 4*z + 4*n + 16, -6 = -3*z - p*n + 3*n. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531836.8l in millilitres?\nAnswer: 531836800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/5 - -24)\/(1\/4). What is the common denominator of (12\/160)\/(12\/o) and 1 - (24\/(-132) - (-503)\/(-198))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 4 + 0*z + 51*z**3 - 10 - 99*z**3 + 50*z**3. Let v(i) = -3*i**3 - 5*i + 12. Determine -5*p(t) - 2*v(t).\nAnswer: -4*t**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -22292*p + 66754. Give v(3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333257, 666514, 999771?\nAnswer: 1333028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -360878600 to the nearest one hundred thousand.\nAnswer: -360900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 + f**3)*(-1 + 4 - 1) - 2*f + 2*f - 3*f**3 + (-5 + 5 + 1)*(-f + f**3 + f) - 3*f + f**3 + 3*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3, 0.6, -0.2, 2\/11, 7\/5, -176656?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2. Let i(f) be the third derivative of f**6\/72 + 5*f**3\/3 + 3*f**2. Let t(b) be the first derivative of i(b). Determine t(c(w)).\nAnswer: 45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -692\/15. Let k = -2388\/11 - -217. What is the nearest to -0.1 in 1\/5, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277127363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mys when three letters picked without replacement from mymsmllvymllllsvl.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 609.567 and -0.024.\nAnswer: 609.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5)\/((0 - 2)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/100 + 4\/25. Let u(y) = 4*y - y**2 - 3*y + 1 + 0 + 1. Let g be u(2). Which is the biggest value? (a) g (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/9, 0.8, 5 in increasing order.\nAnswer: 0.8, 11\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 55 in decreasing order.\nAnswer: 55, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 270842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1376, -1430, -1484, -1538, -1592?\nAnswer: -1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4755 is divided by 119.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t = 39*t - 12. Suppose t*g = 11*g - 385. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36094 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -35\/48*n**4 + 0 - 1\/120*n**5 + 0*n + 21*n**2 - 17\/6*n**3. What is f in i(f) = 0?\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390.2 - 450. Let s = -63 - a. What is s rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/12 + 602*r. Let a(y) = -5*y**2 + 4. Give -a(q) + 6*s(q).\nAnswer: -q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let a be (-5 + 2)*z\/(-3). Let v = -105 + 105. Put v, 2\/11, a in ascending order.\nAnswer: a, v, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -137 + 157 + (-1 - 14) - -5 - -83.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69858 + -65876084\/943. Let h = 63271\/8487 - i. Calculate the common denominator of h and 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 6*u - 11. Let w = 10 + -18. Let h be j(w). Suppose -h*o - 8 = -13. Which is smaller: o or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3691685 = -3691677, 6*a - 5*t - 448 = 0 for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*v = 257*v + 12. What is the second derivative of 0 + 11874*m**4 - 101*m - 11691*m**v + 0 wrt m?\nAnswer: 2196*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/83 or 1?\nAnswer: -7\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91930\/7 + -34195979\/2604. Let h = -1\/93 + v. Which is the second biggest value? (a) -33 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 8. Let n = 12 + w. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + r + 6. Let q(g) = g**3 + 4*g**2 - 7*g - 6. Let n be q(-5). Let h(o) = o**2 - o - 5. Determine n*h(c) + 3*f(c).\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - (-20)\/(-6). Let h be 76\/96 - (-2)\/v. Which is the biggest value? (a) 3 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8485*f + 8486*f + 47 = -3*d, 5*f + 5*d = -85 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -370 + 585. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 0*t + 0*t)*(13 - 171 - 104) as n + v*t and give v.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -8 - (-42 - 6). Suppose 143 = -29*t + c*t. Solve -9 - 17 = -t*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1223 - -1201 - (-2 - 25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3915686 by 95.\nAnswer: 3915686\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*m + 22, -3*m + 6*m + 4*t - 29 = 0. Let w be m*(-1)\/(-3)*5. Let g = -8 + w. Let n(f) = -f**3 - f**2 + 3*f - 4. Give n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1 - (-9 - -3). Let o = 14 + -19. Sort o, -2, 1, d in descending order.\nAnswer: d, 1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1512 - -891. Let r = l + 1030. Does 43 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 1*(4 + sqrt(85)\/sqrt(5) + sqrt(17))*-4*2)*-4*-5.\nAnswer: -1600*sqrt(17) - 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -19\/10, -2\/5, 64\/5 in descending order.\nAnswer: 64\/5, -0.2, -2\/5, -19\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 2, 5422 in increasing order.\nAnswer: -151, 2, 5422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5*g + 2. Let p = 76 + -71. Let m be z(p). Suppose -52 = -m*o - 16. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5973984 and 720.\nAnswer: 29869920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50016*h**4 + 3*h**2 + 353055 wrt h?\nAnswer: -200064*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -30*s - 1\/2*s**2 - 8. Differentiate d(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3812 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 83, 564, 1863, 4388, 8547, 14748, 23399, 34908?\n\"Answer: 68*u**3 + u**2 + 2*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -10, -16, -24, -34, -46?\n\"Answer: -x**2 - x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37518, 37805, 38080, 38337, 38570, 38773, 38940?\n\"Answer: -l**3 + 294*l + 37225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2 - 1)\/1. Let k = 0.353 - 0.1578. Let d = k - -0.1048. Which is the smallest value? (a) y (b) d (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16274 is divided by 3226.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 439 + 1294. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422482690 divided by 42248269.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5154, -5167, -5194, -5241, -5314?\nAnswer: -5419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4438*a - 4435*a + 8874*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -471*c - 109*c**4 - 193*c**4 - 1227*c + 303*c**4 + c**3 in the form a*c + m*c**3 + w*c**2 + z*c**4 + j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -312, 25, -5 in descending order.\nAnswer: 25, -5, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 886*n - 1754. Calculate m(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176686?\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let t be ((-10)\/(-15))\/((-4)\/6). Let p(z) = 1. Let j(q) = -2*q - 4. Let h(g) = t*j(g) - 4*p(g). Determine w(h(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3446 = y - 5*a - 1279, -2*y = 5*a - 9420. What is the greatest common divisor of 410 and y?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1710 and -125\/1026?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.28 and 0.06921?\nAnswer: 0.34921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103\/423 + -1\/47. Suppose 8 = -0*n + 2*n. Suppose -4*q + 0*l = 3*l - 16, -q + 17 = n*l. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 137183, 136929, 136505, 135911, 135147, 134213, 133109?\n\"Answer: -85*w**2 + w + 137267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 31 = -2*a - 14*p, -4*a - p = -17. Let s be (-4)\/(8\/(-6)) - 1. Let g = s - 2. Solve g*t + 9 = -a*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**3\/3 + 13*r**2\/2 + 18*r + 1. Let y be z(-12). Suppose 2*k - 60 = -0*k. What is the highest common divisor of y and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.11739 years in decades?\nAnswer: 8.311739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21846 - -27332. What is the remainder when r is divided by 141?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -160553 from 2032.\nAnswer: 162585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24115527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y - y + 9*y)*(9*y + 0*y + 4*y)*(-1 + 1 + 3) to the form h*y + b*y**2 + w and give b.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/228955277?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1281*y**3\/2 + 49947*y**2\/2 - 234*y = 0 for y.\nAnswer: -39, 0, 4\/427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m + 136*m - 35*m - 30*m - 35*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 15*v**5 - 340*v**4 + 2560*v**3 - 7440*v**2 + 8720*v - 3200 = 0?\nAnswer: 2\/3, 2, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8889018+0.02131\nAnswer: -8889017.97869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 116, -0.5, -3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 7*t**2 + 6*t + 2. Let k be m(-6). Suppose 39834 = -30*y + 40584. Put y, -3, k, -5 in increasing order.\nAnswer: -5, -3, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -594, -812, -978, -1092, -1154?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -57. Put 5, 2, u, -52 in decreasing order.\nAnswer: 5, 2, u, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*n - 22*n - 112 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 6 = -3*j. Let f be 5 + 0 + (36\/3)\/(-6). Solve 5*q - j*a + 12 = -a, 5*a = -f*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 28786?\nAnswer: 28785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 699637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*i + 319*i - 53*i**2.\nAnswer: -53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -96879\nAnswer: -11\/96879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 84*w - 85*w + 3. Solve -w*z - 55 = -65 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at most -12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 766271677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*h**2 - 455*h**2 - 16 - 34 + 227*h**2 + 50.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 20, 42, 94, 188, 336?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 56*b - 3706. Let j be u(-95). Sort 3, j, 9, 75 in increasing order.\nAnswer: j, 3, 9, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 19*o**2 + o + 6. Does 16 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16745.96993 to the nearest integer.\nAnswer: -16746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1014)\/15*(-6 + 1). Suppose 2*z - 7*z = 5, z - h = -3*c. Suppose -4*x + c = -3*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-2)\/4. Let c = -12010\/9 - -1337. Let v = 451\/180 - c. Do v and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112597?\nAnswer: 109, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2. Let g = 8 - 13. Let j be h(g). Calculate the greatest common factor of j and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461684\/5 equal to 292337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3)*(-39)\/9. Let u be ((-77)\/(-33))\/((-1)\/4569). Let p be (-2)\/9 - u\/63. Calculate the highest common factor of p and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3421\/(-33) - -105)\/(358\/177 + -2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51304062?\nAnswer: 2, 3, 17, 151, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:37 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z - 25. Let n be -6*(1 + z\/27). Let k = -108 - -105. Which is the third biggest value? (a) n (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1 - (-94)\/8)\/((21167\/180072)\/347)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1487276?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2785 + -5573\/2. Which is the closest to 0.1? (a) 4\/5 (b) h (c) 0 (d) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -52 + 16 + 5 + 4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = -51. Let t = 122441 - 122443. Sort j, t, 2 in decreasing order.\nAnswer: 2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1706 + 1674. Are l and -31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16\/7)*m**(-1\/2))**(-1\/11) assuming m is positive.\nAnswer: m**(39\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12) - (-2)\/4. Solve 5*b + 23 - 3 = n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205.5 + -39.5. Let b = -262.3 - s. Let q = -17.2495 - b. Round q to three decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 48. Find the common denominator of (3\/l)\/(2\/42) and -59\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-9))\/(-4) - 290888\/(-369648). Let h = p + 15\/302. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*a - 32, 2*u + 2*u = 4*a - 40. Let i(t) = 36 + a*t - 36. Let g(v) = -2*v. Determine g(i(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 687277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxadbb. What is prob of sequence ddb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 63*h + 65. Let y be t(-1). Factor 1\/2*k**4 + 3\/2*k - 3\/2*k**3 + 1\/2*k**y - 1.\nAnswer: (k - 2)*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.7 + -19. Let o = j + 3. Which is the closest to -0.1? (a) -0.4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * -0.109.\nAnswer: -0.1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363013193?\nAnswer: 31, 11710103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91511 = -55*q - 20396. List the prime factors of q.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3729, -3941, -4161, -4389, -4625, -4869, -5121?\nAnswer: -5381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 1, g: 2, z: 4}. Give prob of sequence jggz.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-4 - -6) + 0 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**5 + 12*i**5 + 27*i**5 + (2*i**4 + 3*i**4 - 6*i**4)*(4*i + 0*i - 2*i).\nAnswer: 43*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x\/(x\/x**(-9)))\/(x**4\/(x*x**12*x)) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 + 1545*z**2 + 42431*z - 67116 = 0. Calculate z.\nAnswer: -28, 3\/2, 799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -297 - -297.445. Round n to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s**3 + 36*s**2 + 7*s - 27. Let t(b) = -18*b**2 - 2*b - 1. Give -m(r) - 2*t(r).\nAnswer: -14*r**3 - 3*r + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 7\/5, 0.5, -14\/193, 0.3, 223?\nAnswer: -14\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310598.\nAnswer: 2, 155299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 164 = 5*b, -120 = 4*b + 3*h + h. Let a be b\/(-8)*3\/12. Sort -4, a, 2 in descending order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-10 - 1) + 8 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283266?\nAnswer: 2, 3, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314339*j - 95934 = 313526*j for j.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - 0) + -4142 + 4096?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-10))\/(4\/40). Let k(i) = -i**3 + 10*i**2 - 2. Let s be k(10). List the prime factors of (8\/h)\/(s\/(-186)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 119 = g - z, 2*z = -2*g + 250. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -14*f**2 - 2. Let t(b) = 14*b**2 + 3. Let h(i) = -2*t(i) - 3*w(i). Let a(x) be the first derivative of x**3\/3 - 129. Give h(a(q)).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 13 + 118 = 0. Is j less than 17\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 515289193 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2662.1 + -2662. What is the nearest to 4 in -1\/2, -49, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, -19, -80, -197, -388, -671, -1064, -1585?\n\"Answer: -3*k**3 - k**2 + k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -53?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -1\/3, -14, 0.9 in increasing order.\nAnswer: -14, -4, -1, -1\/3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 23, 2\/889 in descending order.\nAnswer: 125, 23, 2\/889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*q - 4 + 11, 0 = -n - 3*q + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 506*n + 9112. Give a(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160 + -141 + (1 - 0) - -33.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-38)*(-69)\/(-6))\/(2\/8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 3. Let m be v(0). Suppose 0 = -m*q - 2*q. Solve 4*z - 2*y - 18 = q, -10 - 5 = -3*z + 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54\/11, 2\/11, -1\/101, -0.1 in ascending order.\nAnswer: -0.1, -1\/101, 2\/11, 54\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*t + 17 = -19, 0 = -2*f - 5*t + 4. Suppose 0 = -4*l - f + 4. What are the prime factors of 8\/(-12)*27\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -2, 139\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141847 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -476750.\nAnswer: 1\/238375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f + 840 = 18*f. Let s(c) = -c**2 + 14*c - 8. Determine s(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50621\/5 + -10038. Let h be (5 + 1)\/((-1)\/((-87)\/6)). Is t at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 4*m**2 + 4*m + 5. Let n be d(4). Suppose -n*t + 2 = -22*t. List the prime factors of ((-28)\/(-10) - -2)\/(t\/(-40)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yusesueyujjcuc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4296 + 4292. Which is the second biggest value? (a) -2 (b) 8\/3 (c) 1 (d) -5 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.83 (b) 4 (c) -2\/57 (d) 5 (e) -203 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/7 + 18861*i**2\/7 + 27*i\/7 - 169749\/7 = 0. Calculate i.\nAnswer: -3, 3, 6287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.009 - -48.609. Let u = r - 54. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**3 - 1. Let z(l) = -l**2 - 11*l + 8. What is the remainder when r(1) is divided by z(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10028, 20085, 30146, 40211, 50280?\n\"Answer: 2*i**2 + 10051*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.9 and 0.1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**3 - 2*o**2 - 128*o - 332. Give i(-3).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*a - 91, 3*a = -5*g - 0*g + 107. Calculate the lowest common multiple of g and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 2*w**2 - w - 1. Suppose 0 = -16*t + 12*t + 56. What is the remainder when a(4) is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63408 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(160)\/sqrt(4))\/sqrt(8) + 0.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5430*v - 5442*v = -96 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 91 = 3*u + 50, 4*u - 2*z = 68 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 52 = -0*s. Let h be s\/40 - 6\/15. Let x = 0.746 + -0.646. Which is the closest to x? (a) -1\/2 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -607 + 1062. Let r = f + -366. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 16 = 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18470 - -18479. What is the third smallest value in -4\/9, n, -0.3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 83.003.\nAnswer: 83.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = -4*t + 7*t, -5*t = -2*y - 4. Suppose -63 + 13 = -t*g. Let v be 1 - (4\/2 - 11). Calculate the highest common factor of g and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2088 and -77\/360?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/(3*(-20)\/54*-1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -3*u + 33, -5*n - 4*u = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l. Let n = l - -3. What is the first derivative of -6 + c + 2 + n wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.2, 4, 2\/13, 8.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 3*z + 3. Let c be s(4). Suppose -2*j + c*j + 40 = 0. Let d = j + 14. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 3\/2, -3, -0.706, -4?\nAnswer: -0.706","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 13 = 725. List the prime factors of d.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 44. Let u be t(-13). Solve 0 = u*s - 4*w + 2, -4*s + 3*w + 2 - 3 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.143 * -553.\nAnswer: 79.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 43. Suppose -14*k = -5 + l. Put k, 0, 2 in increasing order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 22*d**2 - 3*d + 24. Let f(a) = 9*a**2 + 8*a. Let k be f(-2). What are the prime factors of q(k)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12135, -1 in ascending order.\nAnswer: -12135, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bd2 (base 16) to base 6.\nAnswer: -52550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*36\/54\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 6*h - 5. Let f be w(-2). Let m(k) = 7*k + f*k - k**2 + 1 - k - 4*k. What is m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302310022 (base 4) to base 15\nAnswer: -41a0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 330, 482, 636?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/15 + 17*a**5\/30 - 4*a**4\/3 - 5*a**3\/3 - 9*a**2. Factor o(j).\nAnswer: 2*(j - 1)*(j + 5)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1 + 9 + 96*a**2 - 97*a**2 + 11*a + 74. Give u(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 42*j - 20*j + 42*j + (2 - 2 - 1)*(-3*j + j - 4*j) + (0 - 3 + 2)*(4*j - 2*j - 3*j) + 2*j - j + 0*j - 3*j + 0*j + 4*j + j - 3*j + 4*j + 1 - 1 + 4*j.\nAnswer: 79*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/3? (a) -0.1 (b) -1\/2 (c) -2\/231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**14*z*z**(3\/2)*z*(z**7)**(-1\/25) assuming z is positive.\nAnswer: z**(861\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*d + 22200 = 387*d. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 - 6 = 0. Let u(o) be the second derivative of -o**3\/6 - o**2 - 4*o. What is u(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064616 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + t + 1 = 3, 3*k - t = -1. Let q be (1\/k)\/(-1 + 0). Sort 0, q, 1 in decreasing order.\nAnswer: 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/11, 0 in increasing order.\nAnswer: 0, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 29*v**2 - 19*v + 14. Let w be r(9). Solve 5*n + 4*c = 43 - 28, -2*n = w*c - 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*d - 19 - 7. Let w(h) = -10*h**2 - 2*h - 2. What is w(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577428697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*z = 210*z + 690. List the prime factors of z.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/10 and 19\/151?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:05 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 10 = 1. Solve 3*c = -w + s, 2*w + 2*w = -2*c - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -22 + -16 + (-12 - 0)\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -488*x**3 + 360*x**3 - x**4 + 379*x**2 + 251*x**3 + 2 wrt x.\nAnswer: -24*x + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, -15, -636, 5 in decreasing order.\nAnswer: 5, 3, 0, -2, -15, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 0 + 6998*y**2 - 11*y + 1 - 3504*y**2 - 3499*y**2 - 4. Let w(j) = 3*j**2 + 7*j + 2. Determine 5*q(t) + 8*w(t).\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809802671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 3 + (2 - 11). Let f be u\/(-18)*12\/(-10). Do -9\/4 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0271 (b) -3 (c) -0.3 (d) -7 (e) 11 (f) -2\/3 (g) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and -0.4.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 384 + -8838\/23. Let k = x - 45\/92. What is the third biggest value in -2, k, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/21*(-1)\/((-12)\/(-54))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = z - 12, -3*z - 8 + 80 = 3*b. Let m = z - -2. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 190\/25*5\/2. Suppose -n - 5*x = -p, -3*n + 2*x = -3*x + 23. Suppose -2*d - 5*y = 0, -d - 3 = -0*d + 4*y. Sort -4, d, n in increasing order.\nAnswer: -4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**5\/60 - x**4\/6 - 7*x**3\/3 + 3*x**2\/2 - 3. Let t(z) be the second derivative of d(z). Is t(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 163*f - 90*f - 131*f.\nAnswer: -384*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2280, 9120, 20536, 36540, 57144, 82360?\nAnswer: 112200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8670 - 8671. Sort 1\/52, -2\/5, 3, -6, r in descending order.\nAnswer: 3, 1\/52, -2\/5, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 363624401?\nAnswer: -363624400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*2\/20)\/(((-126)\/(-105))\/6).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 19.5. Is z less than or equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26376, -26384, -26382, -26364, -26324?\nAnswer: -26256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:48 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 1023*s - 1043*s + 13*c, -4*c + 2*c + 43 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 91860?\nAnswer: 275580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 881801563 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 267*c - 2320*c - 53378 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196*k - 3*k**2 + 3*k**2 + 2 - 3*k**3 - 254*k + 176*k to the form c*k + z*k**2 + j + m*k**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11451.91*2\nAnswer: -22903.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4121 + 28*v - 4120 - 5*v)*(3*v + 8*v - 12*v) to a + f*v + n*v**2 and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4028\/5360 - (-8)\/(32\/(-3)). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (sqrt(85) + (sqrt(85) - -4*sqrt(85)))*-1)\/sqrt(5) - ((sqrt(17) - -2*sqrt(17))**2*2 + (sqrt(17) + sqrt(34)\/sqrt(2))*-4).\nAnswer: -306 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 3*y - 46 - 40 to z*y + u and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31806311607 less than -231?\nAnswer: -232.31806311607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n*n*n**11\/n))\/n**(1\/4))\/(n**(-3)\/n)**(-12))**1)**(5\/13) assuming n is positive.\nAnswer: n**(-1165\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:49 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 9*p = -3. Suppose 3 = s - p. Suppose 5*v + 1 = -j + 26, 0 = -s*v + 3*j + 39. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5690765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7120361, 7120363, 7120365, 7120367, 7120369, 7120371?\n\"Answer: 2*l + 7120359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 565421954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18\/(-2) - -3) + 117 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**3 - 14*y + 4*y - 2*y**4 + 6*y - 10*y**2.\nAnswer: -2*y*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k = -171*k + 23800. Which is the second biggest value? (a) k (b) -4\/5 (c) -1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1411*f - 1411*f + 3*f**2. Let k(p) = 48 + 8*p - 48. Determine a(k(w)).\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d - 40. What is the units digit of s(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/35))\/l**(-15) assuming l is positive.\nAnswer: l**(562\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/4 + 1747745*u**2\/2 - 763638290207*u - 25964712073474 = 0.\nAnswer: -34, 1747762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 268062880*x**2 - 3592885381694720*x.\nAnswer: -5*x*(x - 26806288)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977309617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c - 89. Let i be m(6). What is the third smallest value in -2\/13, -51, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 9*s + 14. Let l = 25 - 19. Let z be j(l). What is the second smallest value in z, 1\/3, 5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 268705.7ng?\nAnswer: 0.0002687057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (-5 - 2)\/(20\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 5*y**2 - 2*y - 2. Let q(n) = -n - 1. Calculate -3*h(k) + 6*q(k).\nAnswer: -6*k**3 - 15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 28 = 354. Suppose -3*s + 309 = -0*s. Let u = a - s. What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -11452, 2, 82 in increasing order.\nAnswer: -11452, -5, 2, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-316476)\/(-1341)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5332422 - 0?\nAnswer: 5332422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -266*n**2 - 672*n + 112. Let a(x) = 7*x**2 + 18*x - 3. Let g(c) = 112*a(c) + 3*s(c). Let d(b) = -138*b**2. Give g(d(k)).\nAnswer: -266616*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 512 + 183 + 161 - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 932857 + 1865733 - 932876.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 1 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 13*v**2 + 12*v + 32. Give y(-14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 49 = -0*s + s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -23*h**3\/6 - 57*h**2\/2 + 66*h. Differentiate u(n) wrt n.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t**0\/t)*t)*t**(2\/23)*t**6\/(t**3*t))**(-13\/3) assuming t is positive.\nAnswer: t**(-325\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-8 + (1 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1052*i**4 + 10*i**3*s + 167455*s wrt i?\nAnswer: -4208*i**3 + 30*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 4*g - 2. Let m be d(-3). Let a = -3 - m. Suppose 0 = a*r + 10, -2*r - 1150010 = -5*h - 0*r. What is h rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/54*(-40)\/(-140)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*h - 3171 = 92*h - 70*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3612 = 1456*h - 1284*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66\/8 + (-24 - -16)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*(-5)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -9.39, 5, 3, 0.5 in descending order.\nAnswer: 5, 3, 0.5, -9.39, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 1, h: 2, c: 1, s: 4, w: 1}. Give prob of sequence sdcf.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1082 - -1742. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4, -26, 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f)**2*(f**11)**(-4\/7) assuming f is positive.\nAnswer: f**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51696 minus 5?\nAnswer: -51701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.2547 and 867?\nAnswer: 2821.8249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64*q**4 - 2*q**3 + 8513*q**2 + 2523271 wrt q?\nAnswer: -256*q**3 - 6*q**2 + 17026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 21*q + 137. Give t(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:12 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-21)\/15 + (-85)\/(-25). What is the second biggest value in -2\/15, v, -0.55, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u**2 + 2. Suppose -6*b = -b. Let c be p(b). Let d be 1\/c*(1 + -1). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1926*b - 30772. Let s(t) = t**3 - t**2 + t + 438. Calculate the remainder when s(0) is divided by u(16).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13600)\/170*9\/(-48).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4251 is divided by 485.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2\/(-6))*177. Round c to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/104571036 and 9\/699940.\nAnswer: 522855180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2701*v + 126924. Calculate l(-47).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 2}. Give prob of picking 2 b and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*l**2 - 26*l**3 - 26*l**3 - 276*l**2.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuuuu. Give prob of picking 2 t and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4180\/(-57))\/(-22) - (-7 + 1903\/165).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135.953ms in hours?\nAnswer: 0.0003155425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1165.4589 to the nearest 10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26334 (base 9) to base 11.\nAnswer: -12395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/4776224 and 23\/84.\nAnswer: 100300704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -313\/34 - -148\/17. What is the third biggest value in -0.1, 9\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/30 - -1)*(-90)\/(-12). Solve -2*k - 10 = 6*g - 2*g, u = -2*k + 3*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(-4 - -5). What is the nearest to -0.5 in q, -6, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40410 is divided by 10100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/2 of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000000110101000101 (base 2) to base 12.\nAnswer: 3210b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-390))\/(1\/(-5)*(-39)\/(-26)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 - 3*g - 3. Suppose -5*u + 48 = -5*t - 27, -107 = -5*u - 3*t. Calculate the remainder when u is divided by a(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/21 + 32\/14. Let j = -6 - -10. Let w be (2\/j)\/(1 - 3). Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 350, 0.2, 9.9.\nAnswer: 0.2, 9.9, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -681*t + 669. Let y(n) = 338*n - 335. Let x(d) = 2*o(d) + 5*y(d). Find the first derivative of x(l) wrt l.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1123111414 (base 6) to base 7\nAnswer: -210651520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3 - 1. Let d(k) = 4 + 27*k**t - 28*k**2 - 2. Give d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d + 117. Let w be p(25). Let o = w + -308. Round o to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153416 is divided by 4151?\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -280*l - 18*l + 1335*l + 11407 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252552 - 251189 = 47*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 10 = 0. Let w(u) = 23 + 0*u**y - 5*u**2 - 23. Let h(m) = 3*m. Give h(w(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22184, 44375, 66564, 88751?\n\"Answer: -k**2 + 22194*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323637 and 3704?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -3\/8*o**2 + 3\/8*o**4 + 3\/40*o**6 + 0*o**3 + 3\/10*o**5 + 0 + 29*o. What is k in s(k) = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 49*p**3 - 15*p**3 + (-p**2 - 3 + 3)*(2*p - 6*p + 2*p))*(-7 + 6 + 5) - 4*p**3 + 2*p**3 - p**3.\nAnswer: -243*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10338*r**2 - 21*r + 5670. Let f(n) = -1034*n**2 - 2*n + 567. Let u(y) = 21*f(y) - 2*k(y). What is the derivative of u(a) wrt a?\nAnswer: -2076*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26942.264859 to the nearest 10.\nAnswer: -26940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 137 = -4*f, -f - 33 = 26*w - 24*w. Suppose 0 = -4*u - 4*o - 132, -o + 162 - 25 = -4*u. Is u greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 2*d = 0. Factor d + 0*y - 1\/2*y**2.\nAnswer: -y**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h + 47*h - 66 = -4*a, 4*h = 2*h - 58 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55215 - 1692100.67.\nAnswer: -1636885.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1173*o + 23. Let h(j) = 293*j - 5. Give -9*h(l) - 2*y(l).\nAnswer: -291*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - g - 5*g)*(-3*g - 2*g + 3*g) - 4*g**2 + 5*g**2 - 4*g**2 + (141*g + 111*g**2 - 141*g)*(3 - 5 + 0) in the form q*g**2 + x*g + m and give q.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -10 (b) 1 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/((-8)\/(-20)). Let q be h\/(4\/2) + -1. Suppose -g = -q*g. Solve -5*n + n = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 - 1988 = -24*t. Let b = 127 - t. Let m(h) = 2*h**2 - 7*h - 7. Determine m(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74590873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((((-1)\/(-1))\/(-2))\/(755\/30200)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 14*f + 3*g + 41 + 66, 5*g = 5*f - 50 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16312 + -16280. What is the remainder when 630 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) 0.04 (d) -1\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-9690)\/(-76))\/(-51))\/(-5))\/((-1)\/90)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 - 371. Let a = q + 221. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00181316 rounded to five dps?\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p - 58. Let w(k) = -k**2. Give z(w(t)).\nAnswer: -9*t**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/(-36)*15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 186\/(-45))\/((-640)\/800). Let v = 5\/2 + -9\/4. Let k be ((-4)\/(-6))\/(1\/3). Which is the closest to v? (a) k (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 0*x**4 - x**4 + (0*x**2 - 2*x**2 + 8*x**2)*(3*x**2 + x**2 - x**2) - 11*x**3 - 29788 + 29788 + 2*x**2 + x**4.\nAnswer: 18*x**4 - 11*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -0.4 (b) -5\/19 (c) -0.6 (d) 10 (e) 2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a**1\/a))**(-4\/3))**25\/(((a\/a**(-1\/2))\/a*a)\/(a*a**3))**(-1\/10) assuming a is positive.\nAnswer: a**(-401\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/2232799?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 14913*p**2 - 148878*p + 238128.\nAnswer: -3*(p - 4961)*(p - 8)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = 5*t. Let q be (-3879)\/(-99) + t\/22. Let f = q + -21. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -499 + 502. Solve -4 = k + 5*u + j, -k - 4*u = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 2286 - 6869 + 71*o + 2289 + 2294.\nAnswer: 63*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - 3 - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + -0.38. Let q = 40313 - 40313. Which is the nearest to 1? (a) q (b) 0.7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1930.7529875 + -1912.753. Let b = 18 - x. Round b to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, h: 3, e: 1, i: 4}. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, h: 5, s: 1, t: 1, r: 2}. What is prob of picking 1 k, 1 s, and 1 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242 or 243?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2376793*k**2*n**4*v - 165*k**2*n**2 + 9*k**2*n - 2*k*n**4*v + 6*k*v - 3*n**2*v + 2*n**2 + 2*n - 36 wrt n?\nAnswer: -57043032*k**2*n*v - 48*k*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 145*o**2\/2 - 25*o + 49. Let h be s(6). Calculate the highest common factor of h and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 5*u - 10. Give x(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002668 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + p)*(-3 - p + 3)*(218*p + 181*p - 1248*p - 1252*p).\nAnswer: 2101*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744, 724, 698, 666, 628, 584?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*l + 2, -3*l - 7 = -w + 18 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = -27. Let i = s - 7. Let g be (5\/(-20))\/(2\/i). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*l**5 - 5436*l**2 + 5544*l**2 - l**5 - 21*l**4 wrt l.\nAnswer: -60*l**2 - 504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(3) - sqrt(3)*2*6))*5 + sqrt(6)\/sqrt(2)*3 + sqrt(3) + (sqrt(108) + 0 - sqrt(3))**2 + 3)*5.\nAnswer: -255*sqrt(3) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 14*j**2 + 18*j - 11. Suppose 0 = -0*f + f + 2. Let x(n) = 5*n**2 + 2*n - 1. Let v be x(f). Is h(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, -4234, -6, -1 in descending order.\nAnswer: 6, -1, -6, -7, -4234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 + -1)\/5 + 89. Let j = l - 122. What is the common denominator of -7\/3 and (-15)\/6 + 12\/j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3210 - 2230021220?\nAnswer: -2230031030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 17*u**2 + 2*u - 5. Let p be b(-5). Let o be p\/35 + 2\/7. Factor -28*g**2 + 30 + 5*g + 15*g - 34 + o*g**3.\nAnswer: 4*(g - 1)**2*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/10 + 1 - 12\/30. Let l be 1\/(v + (-125)\/(-15) + -5). Put l, -12, 0, -2 in ascending order.\nAnswer: -12, -2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 644*5.\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Let m be x\/(-2)*8\/(-6). Suppose -m*i + 4 = -6. Let k(h) = h**2 - 7*h + 4. Give k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10574 - 10674. Are -26 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 5*c**3 - 644*c**2.\nAnswer: c**2*(c - 23)*(c + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 160352 (base 8) to base 13\nAnswer: 20291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 522294?\nAnswer: 2089176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*f**2*v - a*f**2 + 27924*a*v - 4290*f wrt f.\nAnswer: -2*a*f*v - 2*a*f - 4290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + -2*sqrt(10))*5)\/(sqrt(80)*-1).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyduuudd. What is prob of picking 3 u and 1 d?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9965130 and 1960.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 312230?\nAnswer: -312231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((4\/6)\/(-2))\/(14\/(-2310)) is divided by (60\/(-16))\/(1\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 17 + (51 - 105)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.941321 litres to millilitres.\nAnswer: 6941.321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = z, 4*z + 15 - 41 = -5*q. Suppose -2*u + z = 34. Let r = 17 + u. Which is smaller: 1\/2 or r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + (2*sqrt(17))**2 - ((sqrt(204) - sqrt(204)*-2)\/sqrt(12))**2) + -4 + -2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z**3 + 6*z**2 + 6*z + 2. Let l(k) = k**3 - k**2 - k + 1. Let d = 22 - 16. Let u(p) = d*l(p) + w(p). What is the first derivative of u(y) wrt y?\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55101041 + 4?\nAnswer: 55101045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-34)*u\/(u\/u**(6\/5))*u**(-4) assuming u is positive.\nAnswer: u**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 448192860 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.87 + 5.4. Round l to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -105*v**2 - 246*v - 479. Let s(m) = -57*m**2 - 123*m - 240. Let t(g) = -6*f(g) + 11*s(g). Find n such that t(n) = 0.\nAnswer: -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59086.\nAnswer: 2, 31, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*r - k, -7*k + 4*k + 22 = 2*r. Let p(t) = t**3 - 5*t**2. Let h be p(5). Determine g, given that h*g - 4\/5 + 1\/5*g**r = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -42*i. Let f(p) = p - 1. Determine -2*f(r) + v(r).\nAnswer: -44*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(2\/(-15))*36\/(-54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(273)*1)\/sqrt(7))\/(sqrt(363)*-1) - 3*((sqrt(13) + (sqrt(156)\/(sqrt(60)\/sqrt(5)) - sqrt(13)))**2 + 1*(2 + sqrt(13))).\nAnswer: -45 - 34*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21313 + 18*q - 21313.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 2 - 2 + (-2 - 1 - 3)*(0*y - 6*y - y) in the form m*y + j and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = g + 2*g. Suppose 0 = -i + 4*i - g. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, r: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 2*v + 1. Let s be z(2). Suppose 0 = -t - 4*d + 9, -5 = -4*t - 5*d + 9. Let o be (-26)\/(-22) + t + -2. What is the biggest value in 4, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q + 316. Let g = -437 - -452. Let p be w(g). Which is greater: -4\/71 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 3*v - 8. Let u be n(-7). Solve j + u = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than 507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 11132 + 11465 - 4*s)*(-6*s**3 + s**3 + 4*s**3) to the form j*s**2 + p*s**4 + n*s**3 + d + t*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69684099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 6*d + 39. Let z = d + -35. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9420 (base 16) to base 2\nAnswer: 1001010000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -7 - -1) + 13 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9347594 and 132426.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*m + 21 = -0, -2*v + 16 = -5*m. Let g(p) = 6*p + 1. Give g(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - r**2 - 188*r**3 + 99*r**3 - 276*r**3.\nAnswer: -365*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 51*w**3 + 147*w**2 - 145*w + 48.\nAnswer: (w - 48)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116414 + 39837 = -3811*g for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154442521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 + 4*j + 3. Let t be v(5). Let w be 0 + (t - -2) - -2. Let a(n) = 2*n - 3*n - w*n. Let i(h) = h. Determine i(a(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2122 + 2240. Is 1072\/9 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 241253*k**3 - k**2 - 241258*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**7*s*s*s*s**(-4\/13))**(-18\/11) assuming s is positive.\nAnswer: s**(-2736\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 205*s**3\/3 - 392510*s**2 - 14102320*s\/3 + 230240 = 0. What is s?\nAnswer: -12, 2\/41, 5756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.163 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2\/(-15) - (4 - 0)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 135, 126, 103, 60?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 + 4*q**3\/3 + 7*q**2\/2 + 4*q - 2099. Calculate u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71326599 by -171047.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 9*q - 1620 = 0. What is the remainder when 356 is divided by q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**7\/280 + 7*z**5\/40 + 32*z**3\/3 + 6. Let n(w) be the third derivative of q(w). What is the second derivative of n(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29444 is divided by 14705.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 356448 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: Suppose 246 = 3*d - 0*d. Let y = d + -407\/5. Let j = 31.1 - 32.1. What is the third smallest value in -0.4, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-31))\/(j*j*j\/(j**(-12)\/j)))**(44\/3) assuming j is positive.\nAnswer: j**(704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 28*m - 48*m + 24*m)*(-12*m**4 - 2*m**4 - 5*m**4).\nAnswer: -76*m**5 + 76*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 21. Suppose 4*r - 4*n + 192 = 0, -r - n = -0*n + 40. Let o = -28 - r. Solve 3*s = j*s - o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 45. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217330?\nAnswer: 2, 5, 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66680 + 1000202\/15. Let g = -5.1 + 37.1. What is the closest to -1 in x, -5, g, 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 7. Let x(j) = -31*j + 463. Let u be x(15). Calculate d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 987441476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from fyfffyehh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 323 = 5*p, -2*u + 167 = 2*p + 37. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755*f - 306 = -761*f. Let x(z) = 204*z - 1. What is the remainder when x(1) is divided by f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 4*q = -32, -236 = -2*m + q - 225 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2557, 2607, 2673, 2761, 2877, 3027, 3217?\nAnswer: 3453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3875036.\nAnswer: 2, 11, 88069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 69 = i, 5*m = 2*m + 2*i + 31. What is the greatest common factor of 221 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -532 + 516 + 3 + 0 + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/60 - 11*z**4\/24 + 29*z**3\/6 + 13*z**2 + 2*z. Let s be f(7). Let n(l) = -15*l + 1. What is n(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s - 1. Let c be k(5). Let h = 6 - 5. Let n be -1 + h - (-3)\/(-9). Is c at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 16*n + 14. Solve 6*x - 2*k - 3 = 3*x, 0 = x + 5*k - n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*d - 246, 2*j - 389 = -0*d - 5*d. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770893409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -14. Suppose -4*q + 50 = 5*g - 4, z*q + 7 = g. Suppose -34*a = -39*a + g. Let y(d) = -3*d**3 + d**2 + 3*d - 3. Determine y(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 27 = 2*y, 0 = -7*f + 3*f + 5*y + 15. Factor 3\/4*v**3 + 1\/4*v**f + 0*v + 0 + 1\/4*v**2 + 3\/4*v**4.\nAnswer: v**2*(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-86089)\/(-1182)*(-72)\/(-684)\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20098*m**2 - 20172*m**2 + 40277*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**4\/24 + h**2. Suppose -3*k = -4*k. Let y(p) = p - p + k*p - p**2. Calculate y(o(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k. Let w(b) = -9*b**2 - 221. Calculate c(w(i)).\nAnswer: -27*i**2 - 663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1139128 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 3*p - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-13 + -11 + (-2 - -14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 2*a**2 + 3*a**2 + a**2 + 0*a**2 - 3*a**2 + (-2*a - 1 + 1)*(0*a + 3*a - a) + 2*a**2 + 2*a - 2*a + 31250*a**2 + 31206*a**2 - 63712*a**2.\nAnswer: -1259*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*h - 4*h + 26, 3*h = -4*v + 13. Let k(i) = 11*i - 27. Let b be k(h). Suppose -38 = -4*l + 2. Calculate the highest common factor of l and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2746427 millennia?\nAnswer: 3295.7124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4194.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 380557385*q.\nAnswer: -5*q*(q + 76111477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:50 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 + 173.999907. What is z rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 20*p = -5*p + 90 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 9. Solve -u*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.14 (b) -5\/159 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-14))\/(1350\/(-525)))\/(4\/(-2))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2202 divide 336829343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 975610*i**3 + 1029998*i**2?\nAnswer: 5853660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5661 and 22034277?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m**3\/2 + 760145*m**2\/2 - 633470*m + 253390 = 0.\nAnswer: -50678, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-2 - -1))*-46. Which is greater: k or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjt when three letters picked without replacement from {x: 1, j: 3, g: 4, t: 6}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a7174 (base 11) in base 10?\nAnswer: 155929","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/13082412 and -121\/798?\nAnswer: 13082412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 499 + -4 + (-1)\/(-1). What is the greatest common factor of n and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p. Suppose 8*h + 2*x = 7*h + 5, x + 5 = -2*h. Let y(w) = -w. Calculate h*y(c) + f(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 159, 167, 175?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 9*d - 6. Let n be v(-7). Suppose -3*l - 2*l = -4*t - 2, -2*t = 2*l - n. Let a be (t\/(-7))\/(2\/(-28)). Solve a*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*v + 12. Suppose v*i - 40 = -4*d, 0 = -3*i - 0*d + d + 39. Suppose -3*c = -i*c + 66. Let a(p) = -p**2 + 6*p - 5. Calculate a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 2*q - 120. Let i be ((-996)\/9)\/(3 + q\/6). Suppose -i = 3*t - 1478. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1066 + 1506. Suppose 0*g + 8*g - y = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 66?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/10 - 7*o**4\/12 + 11*o**3\/2 - 6*o**2. Calculate the remainder when s(6) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from gckgooo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244001 (base 6) in base 9?\nAnswer: 32561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1536 and 145128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412*k**5 + 1034317*k**4 + 3*k - 1034317*k**4 - 50 wrt k.\nAnswer: 8240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3304*c**2 - 6*c + 60 - 3302*c**2 + 32)*(2*c**2 - c**2 - 4*c**2)*(3*c + 3*c - 4*c).\nAnswer: -12*c**5 + 36*c**4 - 552*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {h: 5, j: 2, u: 4, r: 4, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11*(-6)\/264)\/(1\/28). Solve 23*j + 180 = -q*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*h + 111*h - 186. Let u be (-4)\/5 + 27\/((-1215)\/(-126)). Calculate the highest common divisor of u and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40127 + -117827\/3. Let o = 25831\/30 - q. Find the common denominator of o and 7\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(2\/11))\/r*r)\/r)\/(((r*r\/(r*(r\/(r\/r**(1\/2)))\/r))\/r)\/r)*r**5*r**(2\/15))**(-20) assuming r is positive.\nAnswer: r**(-3838\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*c + 483 = 0, -c + 958 = -4*h - 3*c. Let n = h - -216. Which is greater: n or -27?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/905 - 3634\/6335. Which is the third biggest value? (a) 2 (b) q (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*t - 3*t - 7*t - 5*t**2 - 6 + 2 as r*t + o*t**2 + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuuk when four letters picked without replacement from {v: 1, a: 1, k: 2, q: 1, u: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2000 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*48\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-151)\/((-64779)\/(-2340))*(-22)\/(-4)*2\/3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 11, l: 1}. What is prob of picking 4 z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -w - w. Suppose -4*j - w = 99. Let q = 76 + j. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 + 29*v**2 + 16*v - 16. What is q(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.2906mg in micrograms?\nAnswer: 161290.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, u: 2, w: 5}. Give prob of sequence uu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*((-1)\/(-7))\/(102\/(-238)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**11)\/(x\/(x\/(x\/x**(1\/14)*x))))\/((x**(-29)\/x)\/x**(-27)) assuming x is positive.\nAnswer: x**(183\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243269781 a multiple of 3357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7840 - -18062. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(13))**2 + (sqrt(832) + -5 + sqrt(832))**2)*2.\nAnswer: -296*sqrt(13) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2021, -3133, -4295, -5513, -6793?\n\"Answer: -o**3 - 19*o**2 - 1048*o - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9113 and 131788?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0) + 3 + 2. Suppose -2*y + 21 = -d*g, 3*y = y + 2*g + 6. Let p be y\/(-8) + 2\/(-24). Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29027140 and 414740.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6220*c - 18*c**2 - 6230*c + 18733*c - 6161*c as f*c + a*c**2 + t and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, -17, -150, -407, -830, -1461?\n\"Answer: -7*s**3 + s**2 - 5*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 678\/(-678)*3\/(3\/31)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8 - 8. Suppose -q + 4*q - v*h = 8, -q + 4*h + 8 = 0. Let n(g) = 5*g - 5. Let t(s) = -9*s + 11. Let y(f) = -7*n(f) - 4*t(f). Determine y(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 890 by 178.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 10323\/868 - 3?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (152\/14 - 561\/51)\/(288\/21). Sort -8, 0.3, 3, c.\nAnswer: -8, c, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5669714*q**2 - 9543088*q wrt q.\nAnswer: 11339428","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 111902535 to the power of 1\/2, to the nearest integer?\nAnswer: 10578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -512.5 - -475.364. Let p = 37 + z. What is p rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (750\/(-4))\/(-25)*76\/15\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9 + -1.9. Which is the closest to 0.1? (a) w (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56857722.\nAnswer: 2, 3, 79, 119953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*j = -402*j - 59*j - 57024 for j.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*l = 5, -2*n - 6*l + 14 = -2*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4, -1, -3\/4, 3 in increasing order.\nAnswer: -1, -3\/4, 1\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2660 and 127\/1417150.\nAnswer: 53851700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14082 (base 10) to base 16\nAnswer: -3702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 225513, 225522, 225531?\n\"Answer: 9*o + 225504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2 + 1244892*c - 1244894 = 0.\nAnswer: -622447, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 27*s - 576 + 156 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 + 12605*n**4 - 50355*n**3 + 37735*n**2 + 50360*n - 50340 = 0 for n.\nAnswer: -1, 1, 2, 2517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -160462434 (base 7) to base 15\nAnswer: -e31950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - b + 25300170, -3*b - 2*b = 4*m - 33733571. Suppose p + m - 433389 = 0. Round p to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 30 = -5*u, -x - u + 16 = 2*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 81136.16 micrograms?\nAnswer: 81.13616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 3)*(-71 - -77)*(-8)\/30?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*l**5 - 6540*l**4 + 7096*l**3 - 1552*l**2 + 96*l = 0 for l.\nAnswer: 0, 2\/15, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-1))\/((-16)\/(-80)). Let o(d) = 3*d. Let f(r) = 7*r. Let s(u) = p*o(u) + 2*f(u). Let b(g) = -17*g**2. What is b(s(z))?\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**2 - 1\/42*m**7 - 1\/7*m**6 - 2\/7*m**4 - 43\/140*m**5 - 2\/21*m**3 - 6 - 2*m. Solve q(r) = 0 for r.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -202 + 202.1752. Round z to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001765124063 rounded to six decimal places?\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 221, 690, 1191, 1496, 1377?\n\"Answer: -38*i**3 + 244*i**2 + 3*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -r + 8, -5*r - 15 = -4*p + 1. Suppose 3*i = j + 232, j + 212 = 3*i - p*j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(-5 + sqrt(1216) + -4 + sqrt(1216))**2 - (0 + (sqrt(1216) + -1)**2 - (sqrt(1216) - (4*(sqrt(1216) + 0))**2)))*-3.\nAnswer: -5256*sqrt(19) + 151029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*n - 601 = 509 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m + 40 = 0. Suppose -3*f = -2*f - 70. What is the highest common factor of f and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = 8. Let o(l) = l**2 - 9*l + 8. Let j be o(8). Suppose -n - 2*k + 2 = 4*n, -2*n - 3*k - 8 = j. Sort n, m, -3 in ascending order.\nAnswer: -3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**5)\/b**(17\/4)*b*b*b**(-26)*b**19)**(-7\/12) assuming b is positive.\nAnswer: b**(371\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 9*t + 29 = -7*t + j, 0 = 14*j - 14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**3 + 119*i**3 + 130*i**3 - 8*i**3.\nAnswer: 192*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 7*g + 1. Let c be j(-6). Let d(x) = -2*x**3 - 26*x**2 - 25*x - 14. Let i be d(-12). Sort 2, c, i in ascending order.\nAnswer: c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24707\/9414 - -7\/523. Let a = 22 + -14. What is the common denominator of 18\/(-6) + 14\/a and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/12 + 7*s**3\/6 - 11*s**2 - 4191*s. Calculate m(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 2*r + 1. Let x(v) = -3*v**2 - 2*v - 1. Let u be (-2)\/(2\/(-2 + 56 + 3)). Let s = 53 + u. What is s*j(w) - 3*x(w)?\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/30)\/((-1)\/10). List the prime factors of ((-10)\/6)\/((-1)\/d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32180805.78702 and -37.\nAnswer: 32180768.78702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3\/2 + 2*j**2 + 259*j + 31. Let p(a) be the first derivative of t(a). Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1849\/1131?\nAnswer: 1849\/1131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 4*b - 2. Let k be u(5). Suppose -23 = -k*d + 19. Find the common denominator of 7\/5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1097 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1408) + (sqrt(1408)*2 - sqrt(1408)))\/sqrt(2) - (sqrt(99)*1*5)\/(sqrt(9)*-1*5).\nAnswer: -1 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (523 - 737 + 359)*(1323 - 1225 - 3*r + 2*r)*(2 - 2*r - 2) as j + p*r + z*r**2 and give p.\nAnswer: -28420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35245 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcj when three letters picked without replacement from {j: 3, c: 1, t: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1665*l**2 + 69*l - 7. Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {b: 2, u: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441731570?\nAnswer: 2, 5, 7, 17, 19, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 39. Suppose 3*n - 5*l - 1 + 2 = 0, x = 5*n - 2*l. Suppose s + 4 = 0, -n*s - 1640 = -5*b + 29122. Round b to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 11) to base 9\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.51 + -6.2. Let z = r + 0.19. Which is the third biggest value? (a) -3 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 + (-12)\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 8*h**2 - h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 707341, 707340, 707339, 707338, 707337, 707336?\nAnswer: 707335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 - -85. Is h > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -65. Let g be (-4*1\/y)\/9. Let f = g + -44\/207. Sort f, -2, 5 in decreasing order.\nAnswer: 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 11*w**2 + 27 - 141.\nAnswer: -17*w**2 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179937, -359873, -539809, -719745, -899681?\nAnswer: -1079617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*x + x - 79 = 0, 2*x = -5*d + 374. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 3.3. Let u = q + -4. What is the closest to 0 in u, 2, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 33. Let y be (5 - 1) + -3*(c - -3). What is the units digit of 7*(-27 + 5)\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7027337 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*18\/(-1). Let h = -95927 - -95929. Put -5, x, h, 5 in increasing order.\nAnswer: -5, h, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000617 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 3451?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:54 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 10.39?\nAnswer: 8.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/10 (b) -371578 (c) -1\/2 (d) 1 (e) 25\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888135096 and 1284?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24214954537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.191, -0.3, 1\/2, 5, 422?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -1\/9 (c) -8 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 77 + 7 = -2*d, 5*s = -3*d + 109. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + h - h + (3*h - 5*h + 0*h)*(-44*h**3 + 28*h**3 + 32*h**3).\nAnswer: -34*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and 4165.\nAnswer: -120785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4442 from -1.32.\nAnswer: -4443.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 4:26 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145448\/67 > 32021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let x = 2.05 - j. Let o = -9 - -7. Which is the nearest to 2\/3? (a) o (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a323d (base 15) to base 12.\nAnswer: -20b157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -23*r**2 - 4787*r + 176. Calculate i(-208).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*r + 4 - 19, -24 = -4*b + r. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-5\/4))\/(a*a**4)*(a*a\/a**2)**(-48))**(19\/2) assuming a is positive.\nAnswer: a**(-209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.68 - -0.32. Let r be (-10)\/8*3\/(-15). Let w = -2 + 6. Which is the third smallest value? (a) r (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a factor of 704080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -4*r + 3*n, 72 = r + 2*n - 0*n. Let p = r + -38. Solve 0*z - z = 2*c + 5, z - 5*c = p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from htqqhhhhhqtyqqhhy.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 8*o + 7. Let h(s) = -4*s**2 + 7*s - 6. Let f(m) = -2*m + 5. Let p be f(9). Let a = 38 - p. Let n be 2\/7 - a\/7. What is n*h(y) - 6*q(y)?\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 12*m**2 + 0*m**3 + 11 + 5*m + 3*m**3. Is q(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 514992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-9) + -1)*-21. What is the units digit of 4\/n + (-536)\/(-56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) 6535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*(-3 + 0) - -6. Suppose 0 = 4*b + u - 43894, -2*b = -2*u + j*u - 21950. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -515904 divided by -4\nAnswer: 128976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*g + 4792, -5*y - 1847 = 2*g + 2963. What is g rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -11499.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29561*n**5 - 2*n**2 - 64*n + 145.\nAnswer: 591220*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/39 + 340\/(-780)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2800 and 22750.\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135533 + -1?\nAnswer: -135534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(14\/12)*-7. Let c(y) = -4*y + 3. Let k = 3 + -6. Let f be c(k). Calculate the greatest common factor of h and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 149146*c**3*z + 358517*z wrt c?\nAnswer: 447438*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/7220 and -113\/11982312?\nAnswer: 59911560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 188\/28 + (-2)\/(-7). Let a = 2 - c. What is the tens digit of (a + 1 - -35) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -213, -447, -697, -963, -1245?\n\"Answer: -8*v**2 - 210*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) 1463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -29*p**5 - 13*p**2 - 23*p - 13. Let s(i) = -14*i**5 - 6*i**2 - 11*i - 6. Let h(b) = 13*s(b) - 6*z(b). Find the second derivative of h(f) wrt f.\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3152*x**2 + x - 4. Let u(o) = 16*o**2 - o - 2. What is q(n) - 2*u(n)?\nAnswer: -3184*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*l - 10, -2*p - 8 = -p - 4*l. Suppose p = 4*q - 84 - 168. Suppose 0 = -4*v + q + 81. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluufbuuuuuuuiiuvvf. Give prob of picking 1 f and 1 b.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -3\/20*z**5 + 0*z**2 - 1\/30*z**6 - 1\/6*z**3 - 1\/4*z**4 - 3*z + 0. Find a, given that v(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25885718 to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3419, -6806, -10149, -13448, -16703, -19914, -23081?\n\"Answer: 22*y**2 - 3453*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -326 - -301. Let x be (-2 + y\/(-12))\/(58\/(-174)). What is the closest to x in 3, 2\/7, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 8.6. Let d = -1.32 - -0.32. Let l = -6 - d. Put l, q, 4\/9 in decreasing order.\nAnswer: 4\/9, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 47. Suppose -6*v - v - 3*v = 0. Suppose v = -z + 2, -33 = -l + z + 54. Calculate the remainder when l is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 937*l + 167607 - 167607 + (0*l - 2*l + 0*l)*(-4 + 0 + 3) as i + g*l and give g.\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -15 in descending order.\nAnswer: -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674, -662, -644, -620, -590, -554, -512?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 74. What is the smallest common multiple of 12 and k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k - 12. Give i(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1139\/5 in 0, 0.2, 2, 1\/4, -2\/11, 236?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20477 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: 0.58 * 50564\nAnswer: 29327.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497 = 6*u - 175. Let h be 0\/1*2\/(-4). Let j(v) = -v**2 + v + 14. Let y be j(h). Calculate the greatest common divisor of y and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 336 = 4*f. Suppose 3*h = 9 + f. Let x(y) = -2 - h*y + 0*y**2 - 6*y**2 + 15*y + 1. Determine x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 22*y - 12 = 0. Let v(a) be the first derivative of 11*a**2\/2 + a - 1. What is the units digit of v(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 291, 473, 605, 663, 623, 461, 153?\n\"Answer: -4*l**3 - l**2 + 213*l + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1, -21, 1\/4, 0.2, -0.1 in increasing order.\nAnswer: -21, -0.1, 0.02, 0.2, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h**3 - h**2 - 10*h**2 - 2*h**2 - 62*h**3.\nAnswer: -h**3 - 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:31 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 38.5. Round o to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 8*c - 6592 = 0. Let x = -3892 - c. What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -440, -2\/7, -0.3, 4 in descending order.\nAnswer: 4, -2\/7, -0.3, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3 - 21*c - 4.\nAnswer: -21*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/((-4)\/6). Let i(t) = -2*t - 4. Let v = -2 + -1. Let d be i(v). What is the greatest common factor of x and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 207*s**7\/7 - s**3 - 23*s**2\/2 - 708. What is the third derivative of p(a) wrt a?\nAnswer: 24840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20209 - 20205. Solve a*r = -3*u + 4, -3*u - r + 166 = 165 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10888 is divided by 287.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 98*s. Let c(x) be the third derivative of -x**4\/12 - 14*x**2 - 3. Determine j(c(p)).\nAnswer: -196*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m + 31 = 0. Let i = m + 36. Calculate the smallest common multiple of i and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkkkcqxkkkck. What is prob of sequence kc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/168 + 26*x**7\/105 - x**5\/20 - 4*x**3\/3 + x**2 + 3*x. What is the third derivative of p(l) wrt l?\nAnswer: 120*l**2 + 1248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + b + 90 = -4*b, -h - 4*b - 7 = 0. Let o(w) = w**3 + 9*w**2 + 6. Let p be o(-7). What is the greatest common divisor of p and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931 + 624 - 699*b + 307.\nAnswer: -699*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:00 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124021 + 2314?\nAnswer: -121303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99\/4 - 25. Let q = 2.194 + -0.004. Let a = 1.19 - q. What is the closest to a in s, 0, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:15 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*j - 2)*(-2 + 1 + 0) + 3 - 2*j - 3 + j + 0 + 0 - j + 3*j - 4*j - 3151 - 232*j + 3151.\nAnswer: -237*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/12 - 20\/(-16).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -193, -194, -197, -202?\n\"Answer: -o**2 + 2*o - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2075 (b) 38.6 (c) 3\/7 (d) 3 (e) 1 (f) 1\/23 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 388*b + 10355. What is y(31)?\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1045235140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16104887 = 74*v - 20889711. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(3*a - a - 3*a) - 4 + a + 4 - 28485*a - 41842 + 83684 - 41842.\nAnswer: -28483*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124432.\nAnswer: 2, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.036 - 0.024. Let d = -20933\/4105 + -1\/1642. Let j = d - -9\/2. What is the second smallest value in j, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 28, 43, 58?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/4)\/(12\/32). Let q be (-3 + 1)\/(t\/(-21)). Solve -q = 5*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*g - 10, 3*c = -3*g + 2*c - 5. Suppose -2*f + 155 = -5*h, 2*h + 2*f - 3*f + 61 = 0. Let w = -31 - h. Solve y + w = -g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 9:29 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*t + 25 = 0, 0 = 3637*p - 3639*p + 4*t + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66 - -2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddy when four letters picked without replacement from wdydyyd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(396) + sqrt(396) + 1) + ((sqrt(396)*-2 - sqrt(396))*6 - sqrt(396))**2 + 3.\nAnswer: -72*sqrt(11) + 142953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 30*c - 146. Let i be j(5). Suppose -3*h = h + m - 19, -i*m = 20. Solve 8*a + 22 - h = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26805797 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*s - 39 = -9, -5*r + 3*s + 40 = 0. Let u(q) = 4*q**2 + 6*q - 2. Let k(p) = -3*p**2 - 5*p + 2. Determine r*u(o) + 6*k(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 33 - (23 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44676 and 13011228?\nAnswer: 221190876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 531835, 1063672, 1595509?\n\"Answer: 531837*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(3\/12). Let f = n + 3. What is the second derivative of f*u - 3*u + 2*u**4 - 4*u**4 wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42204 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 * -12249.\nAnswer: 3797.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 189 (c) -1\/3 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 30, 32, 34, 36?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbbbbbbtbbtbbtbbbbb. What is prob of picking 3 b and 1 t?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -3*z**2 + 1\/6*z**5 + 0*z + 0*z**4 + 0*z**3 + 0. Let u(v) = v. What is c(u(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632331407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**24\/h*h*h**(2\/25)*h)**(-47))**38 assuming h is positive.\nAnswer: h**(-1164472\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgt. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 27 = -11*b. Let d = -32 + 37. What is the nearest to -2\/5 in b, d, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 1\/6*a**6 - a**3 + 0*a**5 + 0*a + 0*a**2 + 0*a**4 + 2. What is the third derivative of j(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 355*d**2 - 3560*d - 3200 = 0. What is d?\nAnswer: -8, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 481*a**2 - 678*a**2 + 450*a**2 to o*a**2 + x*a + b and give o.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21545 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + 115. Let l = o + -198. What is the fourth smallest value in 0.8, -0.4, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5465, -5509, -5615, -5813, -6133, -6605, -7259, -8125?\n\"Answer: -5*l**3 - l**2 - 6*l - 5453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {i: 6, d: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13705564771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((2*sqrt(1584)*-1 - sqrt(1584)) + -5)**2 - ((sqrt(1584) + -1 + -3 - sqrt(1584)) + (sqrt(1584) - (-4 + sqrt(1584)*-2))**2)) + 2.\nAnswer: 18 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 less than 766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6. Let d be f(0). List the prime factors of (-6)\/9 - (-70)\/d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000394723 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307665 is divided by 209786?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*o**2 - 445*o**2 - 461*o**2 + 1111*o**2.\nAnswer: -178*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80 * -5925.07.\nAnswer: 474005.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 641.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 86. Let q be l(-23). Let x(i) = -12*i - 200. Let o be x(q). Solve 5*r + 10 = -m + o, 3*m - 10 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n - 102. Give d(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/5454 and -86\/907485?\nAnswer: 16334730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 298, 1, 150, -2 in ascending order.\nAnswer: -2, 1, 4, 150, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9238*l. Let k(t) = t**2. Calculate x(k(j)).\nAnswer: 9238*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 5214 = -5292 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/7 - (-15)\/35. Solve m = 2*i - 0*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((1 - (-24 + 1)) + -361 + 371)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 7*c + 19 = 3*x, 0 = -4*x + c + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 5. Let i be v(4). Let h = -4 - -6. Let n = h - i. Solve n + 3 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let o(s) = -966597*s**2. Calculate i(o(d)).\nAnswer: -1868619520818*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4852 or -4851?\nAnswer: -4852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 628 and 2.8.\nAnswer: 1758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:44 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*z + 2 = 0, -2*o - z = 2 + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 + 238446*r - 4738041243 = 0. Calculate r.\nAnswer: 39741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 - -1) + -4 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/10))\/(w*w**(-7\/4)*w) assuming w is positive.\nAnswer: w**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v + 2*o = -59*v - 12, -4*o = -3*v + 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*l + 2*l = 38, 2*l = -5*k - 34. Let d = 13 + k. Suppose -d*a - v - 25 = -8*a, -5*a + 51 = 3*v. Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2486.97 to the nearest ten.\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13268167 and 9889.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (1 - -1 - (5 + 6))) + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -8?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98379984 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-645)\/(-120) - (-3)\/(-8). Suppose -o*p + p = -344. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33348 divided by 2\nAnswer: -16674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*h - 9 = 0, 4*q = 5*h - h - 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6222143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590783?\nAnswer: 7, 23, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7198447 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (65\/3)\/((-32)\/24) and -97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 290005*s + 10. Let l be h(-2). What is l rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 + 142215*h = 0. Calculate h.\nAnswer: 0, 47405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 616 + 1?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -0.3. Let w = 24209 + -24201. Which is the closest to 0.3? (a) h (b) -2 (c) -4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 74 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 6*u - 2*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/28*(-189)\/(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93973 or -92431?\nAnswer: -92431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.03524347 + 0.3\nAnswer: 0.26475653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 510*g**3 - 2*g. Let j(b) = 458488*b**3 - 1799*b. Give -2*j(h) + 1799*y(h).\nAnswer: 514*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2*(-3)\/6. Suppose -l = -5*n + 63, 2*n - 6*n - b*l = -56. Let w = 30 + -17. What is the greatest common factor of w and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 5*w - 8, 4*a - 14 + 3 = w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30370a0 (base 11) to base 3.\nAnswer: -101002201120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1, 1\/5, 3, -57230?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.3. Let d be (5\/30)\/(1\/4). Which is the second biggest value? (a) m (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaagssaag. What is prob of sequence aaa?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -7*s**4\/24 + 7*s**2 - 4*s + 65. Let o(y) be the second derivative of h(y). Let b(j) = j + 27. Give b(o(i)).\nAnswer: -7*i + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.689 - 0.989. Let t be (-3)\/(-6) - (-9)\/(-2). Let s be ((-2)\/14*-3)\/(-33 + 32). What is the third biggest value in t, x, s, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 11*n + 3. Let f(k) = -k**3 + 5*k**2 - 22*k - 6. Determine 2*f(s) + 5*h(s).\nAnswer: -2*s**3 + 11*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2288 + 2350. What is the greatest common divisor of x and 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65748.12 minus -1.6?\nAnswer: -65746.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000156316503 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -144, 0, -2\/5, -4\/3477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22302210313 - -2?\nAnswer: 22302210321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -383136.39 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - 13*z + 6*z + 17 + 3*z in the form n + f*z and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 - 18*s**2 + 21*s + 56. Calculate the smallest common multiple of h(-8) and 12.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 63865 in descending order.\nAnswer: 63865, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 7. Let m be j(-2). Suppose 92 = 9*u - m*u. Let p be u + (1 + 5)\/3. Solve 2*i = -4*a + i - 5, 4*a + 5*i = -p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3582*c + 59437*c + 85186*c + 98882*c.\nAnswer: 247087*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1367, 1365, 1361, 1355, 1347?\n\"Answer: -l**2 + l + 1367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 84\/(-18))*(-30)\/4. Find the third derivative of 37*z**2 + 7*z**2 - l*z**2 - 21*z**5 - 22*z**5 wrt z.\nAnswer: -2580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 19 = 6*c - 7*c, 2*c = -h + 38. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 16*c - 85. Suppose 10*b + 1619 = c*t + 8*b, 4*t = b + 1297. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*r - 58*r - r**2 - 67*r - 85*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3821*q**2 + 5*q + 35. Let s(z) = -1911*z**2 + 2*z + 14. Let x(c) = -5*s(c) + 2*u(c). Let b(k) = 3*k. What is b(x(p))?\nAnswer: 5739*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**4)\/c)\/(c\/c**(-6))*c**(-1\/5)*c**(3\/4)*(c\/(c\/(c*c**(2\/7))))**(-11\/5)*c**(2\/11)\/c**(-1\/2) assuming c is positive.\nAnswer: c**(-17859\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from jjqqjqqqqjjjjqjqqjjq?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21\/42*(1 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69710 and -0.0885?\nAnswer: -6169.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1433, 1435, 1437?\n\"Answer: 2*a + 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-655)\/(-15))\/(3 - 588\/198)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 28 = -4*w, w - 6*h = -h + 7. Suppose 3*d = -j + 19, -5*d = -w*j + 3*j - 43. Is (d + -3)\/(3\/21) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933*o = 2169*o - 35844 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5399996252 + -2.54. What is t rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32601 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935 is divided by (12\/(-2) - -3)*4309\/(-93).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 22 = -2*t + 5, 0 = -4*t + 2*j + 34. Suppose -2*y = y. Suppose 1 = 2*w + h - y*h, 5*w = h + 20. Calculate the greatest common factor of w and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/7)\/((m*m**(2\/3))\/m)*m**(-2)*m*m**4*((m**(2\/3)\/m)**(-2\/7))**(-48) assuming m is positive.\nAnswer: m**(-38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w = 0, 0 = 5*b + 5*w - 10. What is the derivative of 6 - 1 - 6*u - 3*u - b wrt u?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) 2 (c) -15 (d) -1 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -8, 7, -4.\nAnswer: -8, -4, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444468.\nAnswer: 2, 3, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -12 - (2 - -1)) + -4 + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -34*b + 44. Let n be s(-10). Suppose -5*z + n = -4*k, -z + k + 84 = 2*k. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 340*t**2 - 18*t + 2989. Give h(170).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -16. What is the lowest common multiple of ((-6)\/(-4))\/((-3)\/(-30)) and (8\/(-6))\/(74\/(-12) - q)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*l**3 + 73*l**3 - 57*l**3 + (-l**2 + 0*l**2 - l**2)*(-l - l + l) to x*l**3 + m + t*l + j*l**2 and give x.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*y = -1, -5*o + 61*y + 2 = 12 + 56 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 5*q + 20, -5*q = 0. Let n be (9\/(-2))\/(m\/(-8)). Let u be (1\/n)\/((-2)\/(-4)). Put u, 0.3, 1 in descending order.\nAnswer: 1, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.1437 milligrams in kilograms?\nAnswer: 0.0006941437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125972, -126265, -126558, -126851, -127144?\n\"Answer: -293*v - 125679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*i - 20, 6*p + 3*i = p + 22. Let w be 4 - (-2 + p - -4). Suppose -4*z + 497 = -w*o + 5*o, -2*z = 4*o - 394. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106902107*c**2*j - 2063356*c**2 + 2*j - 18 with respect to j.\nAnswer: 106902107*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 176.95.\nAnswer: 176.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4 + 2*v**2 - 4. Let m be w(-1). Calculate the greatest common factor of 14 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 2 + 5)*(-4*x + 0*x + 3*x) - 4*x + 0*x + 5*x - 2*x + 6*x - 2*x)*(3*x**3 + 0 + 0) as z*x**4 + f*x + q*x**3 + h*x**2 + k and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/156*1\/(2\/20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2705 and -33\/746?\nAnswer: 2017930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111110010111110001000000 (base 2) to base 13\nAnswer: -3506123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/59 (b) -2.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1477 times 0.05\nAnswer: -0.007385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5361 - 5106. What is the highest common divisor of x and 816?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 36*p**3 - 10190*p**2 + 571*p - 1414. What is z(283)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/(-16) + (-1)\/(-2). Suppose 22 = 4*b + g*p - 6, 0 = -3*b + 5*p + 5. Sort 4, 3, b.\nAnswer: 3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(2 - (-6 + 7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*l**4 - 9*l**4 - 2*l**2 - 14*l**4 + 7*l in the form o*l**2 + y*l**4 + a*l**3 + c + q*l and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 35*c**4\/12 - 5*c**3\/2 - 13*c**2\/2 - 16*c. Is q(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**2 + 2*s**4 - 9*s**2 + (30 - 30 + s**3)*(4*s - 4*s + s) + (-s**4 - 2*s**4 + 5*s**4)*(-3 - 2 + 4).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, 3820, -2, -270 in increasing order.\nAnswer: -270, -25, -2, 0, 3820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161828268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + -0.04000142. What is p rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (-118 - -34 - 13)) + (5 - 16).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose -o*a + 18 = a. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:19 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4 and -19\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*-1*sqrt(325)*-6)**2.\nAnswer: 2632500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 7*a**2 + 6*a - 4. Suppose -6*i - 4*h = -10*i + 100, 0 = -4*h - 16. Suppose -i*b = -183 + 15. Determine w(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -18. Let w be (((-24)\/(-18))\/(1\/3))\/y. Let l(c) = -2*c - 3*c**2 + 0*c**2 + 1 + c**2. Determine l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*w - 2090 = -420 + 852 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*sqrt(125)*3 - (sqrt(125)*-3*4 + sqrt(125) + sqrt(125)))**2.\nAnswer: -15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*k + 28, 0*k - 34 = 3*w + 4*k. Let h be w\/(-4) + (-14)\/(-4). Let z(i) = 7*i**2 + 3*i + 3. Let l(r) = 6*r**2 + 2*r + 2. What is h*l(y) - 4*z(y)?\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 444\/(-36))\/((-10)\/(-6))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2177.18 to the nearest 10.\nAnswer: -2180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/163 and -21\/11.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -10. List the prime factors of 23\/(-4)*(1 - d).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 + (49 - 113 - -146)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2712263 - 4?\nAnswer: -2712267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-20) - (-738)\/10. Suppose h + 328 = 9*h. Let b = n - h. Calculate the remainder when 96 is divided by b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/6*21\/(-35)*1 + -3. Are q and 2\/18465 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - 2 - 167*g**2 + 4 + 170*g**2 in the form v*g + x*g**3 + z*g**2 + u and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 12. Let c = 0 - -5. Suppose 5*t + 4*x = 6, c*x - 7 = -4*t - 4. What is the greatest common divisor of t and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70413.\nAnswer: 3, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011001011111000010 (base 2) to base 9.\nAnswer: 3135671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b - 5. Let v be a(-6). Let w be 556\/20 + (-1)\/v. Let o = -20 + w. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -47a606?\nAnswer: -47a606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*m + 1, -3*h + m = -7. Let i = -2070 - -4027. Suppose -3*l - i = -z - h*z, 484 = z + l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 41 = -7. Let a = -32 + d. Suppose 40 = a*z - 0*z. Calculate the highest common divisor of z and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/2*(187\/121 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 6*d**2 + 5*d + 3. What is the remainder when a(-3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3780755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1449 in -1.7, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a - 37. Let l be g(-3). Let c = 160763\/14700 - 24\/1225. What is the common denominator of 82\/12*((-39)\/(-24) - l) and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2, 0.5, -0.1, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + p - 25, 3*r = p - 3*p + 8. Let q = r - -28. Does 17 divide q\/(-1)*1*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*m**3 + 0*m**2 - 2 + 8*m**2 in the form n*m**3 + d*m + z + f*m**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Suppose 5*k - k = c. Suppose -5*w + 13 - 3 = k. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - m - 4 + 0 + 4*m. Let q(v) = v + 6. Let i(a) = 5*q(a) + 8*t(a). Differentiate i(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 - 2*j**2)*(0 + 1 + 1) - 1807*j - 257*j + 191*j**2 + 487*j - 192*j**2.\nAnswer: -3*j**2 - 1577*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001824169 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzzbuzzzuzzu. What is prob of picking 1 b and 2 z?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:55 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 19. Calculate the common denominator of 2 - t\/18 - 0 and -87\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4, -4.8, 3\/2.\nAnswer: -4.8, -4, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 275*n + 245*n - 121*n - 510113919. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y = -68. Factor 25*v**2 + 10*v + v**4 + 2*v**4 - 2*v**3 - 5*v**5 + y*v**3 - 8*v**4.\nAnswer: -5*v*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 10*m + 375 = 0. Suppose -m*q = -171 - 114. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 + 10*h + 4. What is d(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8304 and 12456.\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 2, -4, 3\/4, 21?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c - 2843 = -5*a + 80*c, 5*a - 2839 = 3*c. What is the remainder when a is divided by 122?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1147*p. Let d(y) = -17*y. Calculate d(m(i)).\nAnswer: 19499*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Let j = -0.05 + 1.55. Let c = -0.5 - j. Put -0.4, c, l in increasing order.\nAnswer: c, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13 = -10. Let j(t) = 2*t**3 + 3*t**2 - 2. Let s(f) = 2*f**3 + 4*f**2 - 3. Determine k*s(b) - 4*j(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n**5\/3 - 59824*n**4\/9 + 29587736*n**3\/9 + 78705284*n**2\/3 + 178412234*n\/9 - 28056028\/9 = 0 for n.\nAnswer: -7, -1, 2\/15, 1001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-15)*(-1)\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v + 432 = 0. Let z = -15 - v. Let p = z - 91. Solve -p = -l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129980.\nAnswer: 2, 5, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/151760 and 95\/8344?\nAnswer: 22612240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 10, -19, -72, -155, -274, -435?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 329126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -s - 2*y - 4, -s = 2*y - 31. Let q = 1339 - 1328. What is the remainder when s is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7125.994 millennia to years.\nAnswer: 7125994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**4 + 40*m**4 + 25*m**4)*(m + 4 - 4) + 3*m**4 - 5*m**5 - 3*m**4.\nAnswer: 70*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - -27670?\nAnswer: 27683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -77. Is l\/(-30) + (-12126)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182365\/12 + 15186. What is the common denominator of -23\/3 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 0.3 (c) -186\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205542519 to the power of 1\/2, to the nearest integer?\nAnswer: 14337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1738, 2\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89507749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Let u = 1 - 0. What is the closest to u in 0.4, k, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2316 - 4626 = 210*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 215*b**3 + 2*b**3 + 251*b**3.\nAnswer: 38*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116380 (base 11) to base 7.\nAnswer: -1364551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372433321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 e when three letters picked without replacement from emmm?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 41079.98 years?\nAnswer: 41.07998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2140b (base 16) to base 10.\nAnswer: -136203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(1*sqrt(200) + sqrt(200)))\/sqrt(10))\/((sqrt(180)\/(sqrt(6)\/sqrt(2)))\/sqrt(6))*5)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Let o(v) be the second derivative of -v**4\/12 + v**3 - v**2 - 4*v. What is the units digit of o(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + 2*i**2 - 13*i**3 + 16*i**3 + i + 20 + 2*i**4 - 18 as y + n*i**3 + z*i + b*i**4 + o*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1111333301332?\nAnswer: -1111333302002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*c**5 - 6*c - 76*c**5 - 3*c)*(3 + 1 + 4).\nAnswer: 8*c**5 - 72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -471*n**3*v**3 + 261108*n**3 + 52*v**4 with respect to v.\nAnswer: -1413*n**3*v**2 + 208*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-26*(-3)\/12. Suppose -12*g = -m*g - 140000. Round g to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -24. Suppose 6 + 0 = 3*f. Let u be (f\/(-4))\/((-1)\/40). Calculate the highest common factor of u and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 + 7 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5758*c = -5757*c - 1, 12*v = 15*v - 4*c - 20 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -0*m + 5*m + 3*s, 3*s = 2*m - 141. Let p(w) = w - 9. Let y be p(12). Let v be (y + 1 + 3)*1. What is the highest common divisor of m and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -37. Differentiate v + 1 - 13 + 15*a**3 with respect to a.\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 20\/6)\/((-24)\/(-18)). Let u(q) = 4*q. What is u(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1423386975 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 1. Let q be k(7). Let s(c) = 1. Let b(m) = m + 3. Let v(t) = q*s(t) + 3*b(t). What is the first derivative of v(u) wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 59499.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 348 + -177. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143322181 to the power of 1\/2, to the nearest integer?\nAnswer: 33813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1588 or -4279?\nAnswer: -1588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 88ed4b?\nAnswer: -88ed52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -341\/50697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)*l)\/(l*l**(1\/15))*l**(-20)\/(l**(-2\/5)*l))**(-11) assuming l is positive.\nAnswer: l**(1012\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 5*r**2 - 2. Let m be w(5). Let b(p) = 4*p**3 + 10*p**2 - 2*p - 8. Let j(k) = k**3 + 2*k**2 - 2. Let l(q) = b(q) - 3*j(q). Determine l(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1030590 and 1089?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/16 + (12932448\/896 - -31). Find q such that -s - 2700\/7*q**2 - 2\/7*q**4 - 27000\/7*q - 120\/7*q**3 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 13 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**3 + 4*s**2 - 4*s**2)*(2*s + 0 + 0) + (2 - 2 - 3*s**3)*(3*s - 3*s - 3*s) to the form u*s**4 + c*s**3 + j + d*s + h*s**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 28*x**2 + 151*x - 622. Give k(-12).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 3. Let b(g) = -3*g + 5. Let c(f) = -f**2 - 3*f + 134. Let z be c(-13). Give z*b(i) - 7*r(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1861035 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -40*q + 584. Determine c(14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6 + 791*h**3 - 5 - 2 + 0 + 47*h**2 - 5 wrt h.\nAnswer: 4746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-15)\/10)\/(4\/(-1496))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -14, 23, -0.3, -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261903, -523755, -785567, -1047321, -1308999, -1570583, -1832055?\nAnswer: -2093397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.7 + -28.79. Let o = -5 - -4. Let k = 5 - 5. What is the third smallest value in o, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2383, -4321, -6259, -8197, -10135?\nAnswer: -12073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5855634, 11711272, 17566910, 23422548, 29278186, 35133824?\n\"Answer: 5855638*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2051 and 14677249.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -1. What is the second derivative of -4*k**3 - 3*k - k - p*k wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 13*l**2 - 14*l + 6. Let u be b(-14). Solve 3*m = u*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1033 divide 1738396446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162722395?\nAnswer: 5, 11, 1451, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 16) to base 15\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.345 and 0.4?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6738.\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 = 4179*c + 4170*c - 8363*c for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*z**2\/5 - 8*z + 8\/5.\nAnswer: -2*(z + 2)*(11*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fggu when four letters picked without replacement from gtttttfttflutgtt?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:38 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h**4\/h)*h**(-1\/2)*((h**(-3\/4)\/h)\/h)\/(h*h\/((h**(-8)\/h)\/h*h)*h) assuming h is positive.\nAnswer: h**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, m: 3, s: 1, w: 4, v: 4}. Give prob of sequence mwms.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 100081.6 hours?\nAnswer: 360293760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272336054*q - 368447526 wrt q.\nAnswer: 272336054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014597 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1846275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/6)\/a*a*((a**(-9)*a)\/a*a)\/a*a**(-1)\/a*a**(-6\/17) assuming a is positive.\nAnswer: a**(-1073\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 72011 - -1096921375\nAnswer: 1096993386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -259850780 rounded to the nearest one hundred thousand?\nAnswer: -259900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - u. Let v(g) = 52*g**3 - 10*g**2 + 125*g. Let o(m) = 5*p(m) - v(m). Find the second derivative of o(f) wrt f.\nAnswer: -312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 45 = -2*d, -59*a + 9 = -60*a + 5*d for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-347 + 47*k + 347)*(1 - 3 + 1) + (-3 + 3 + k)*(0 + 4 - 2) + 2*k - 1 + 1 in the form s*k + j and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(2)*4)*6)**2 + 3 + -5 + -1.\nAnswer: 1152*sqrt(2) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x - 8. Let g(f) = -3*f + 3. Let m(l) = 8*g(l) + 3*p(l). Let j(i) = -i. Let q(o) = 4*j(o) + m(o). Let b(a) = 11*a + 3*a + 33*a. Determine b(q(n)).\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, -10 in descending order.\nAnswer: 4, 3, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -20, -44, -76, -116?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149\/4 + 37. Which is the closest to r? (a) 0 (b) -0.4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -597 - -594. What is the second smallest value in -2, -0.6, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.28147 rounded to 1 dp?\nAnswer: 76.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135828 and 12936.\nAnswer: 271656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76*l**2 - 2*l + 517 - 66276*l**3 + 2*l + 66274*l**3 wrt l?\nAnswer: -6*l**2 + 152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 964.\nAnswer: -3\/964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 15, 0*l + l - 31 = -4*n. Let v = -15 + n. Let k = v - -47. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 6*o - 23. Let c be -2 + (88\/o - 5). What is the closest to -3 in c, 2, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**0)*c*c*c*c*c**(1\/5)*c)\/(c**2\/c**0))\/((c**(-1\/3))**(3\/5)\/(c\/((c**(4\/3)\/c)\/c)*c**(-5\/3)*c)) assuming c is positive.\nAnswer: c**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(45)\/(sqrt(15)\/sqrt(3))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + -3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Suppose -3*t - 28 = -4*h, -140*t = -143*t. Calculate the lowest common multiple of h and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48171410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i + 1\/10*i**4 + 8\/15*i**3 + 79 - i**2. Factor q(w).\nAnswer: 2*w*(w - 1)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**3 + q**2 - 2*q + 5. Let d be y(-2). Solve -4*c = 4*g - 20, 4*g + 5*c = 6 + d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/3, 4\/9, 0.06 in decreasing order.\nAnswer: 4\/9, 2\/5, 1\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 - -295?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 - (-11 - -9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + -5. Let v = 37 + q. What is the nearest to 0 in -1\/3, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.06 - -6. Let l = -0.36 - q. What is the biggest value in -3, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283 + -468. Let l = y + 189. Which is smaller: l or 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + 48. Let j be w(8). Suppose 3*h - h = 0. Let o be (12\/18)\/(1\/3). Solve -o*u + 0 + j = h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 2*p - 4*p)*(-3*p + 1 - 1) - 2*p - 2*p**2 + 2*p + 3*p.\nAnswer: -8*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559955.\nAnswer: 5, 11, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 819694.\nAnswer: 819693.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11049.988432 - -11050. What is y rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**3 + n + 1. Let f be q(-1). Suppose j + 28 - 7 = -5*m, 5*j = f*m + 15. Let h = j + 9. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4350263?\nAnswer: 4350263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -20, -16 + 2 = -2*z + 4*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/194712 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 339597 and 17505?\nAnswer: 1697985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 s when three letters picked without replacement from sssbsbssaasoosayaos.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(3*(sqrt(26)\/sqrt(2))**2 - ((1*sqrt(13)*-1)**2 - sqrt(13))) - (4*(sqrt(13) + -3) + (3*sqrt(52)\/sqrt(4))**2)).\nAnswer: -160 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -2763?\nAnswer: -2763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34509327 to the power of 1\/2, to the nearest integer?\nAnswer: 5874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00065923 rounded to 5 dps?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -i - 62 + 204, 4*z - 2*i - 580 = 0. Suppose 3*s - 102 = 114. Suppose g + 3*g - s = 0. Calculate the greatest common divisor of g and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915592 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.1518476 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0.0063098347566\nAnswer: 1.9936901652434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2313\/4 + 579. Solve -s*p - 1\/2 - 1\/4*p**2 = 0 for p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxbm when four letters picked without replacement from mbxvxgbm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1580 + -1580. Let w(z) be the first derivative of v*z - z**4 - 14 + 4\/5*z**5 - 4\/3*z**3 + 2*z**2. Solve w(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 10*c**2 - 2*c + 22. Let s be a(10). Solve -s*k + 18 = 5*t - 1, -2*t = -2*k - 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 + 2*w - 3. Let k be h(-4). Let s(o) = -5 + 4*o + 1 - k*o. What is s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**3 + 15*f**2 + 20*f + 60. Let x(o) = 2 - 14*o**2 + 10*o + 25*o**2 - 10*o**2 - 11*o + o**3. Let k(a) = -r(a) + 15*x(a). Factor k(q).\nAnswer: 5*(q - 3)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7340)\/(-3303))\/(4\/(-18))*3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u + 1. Let z(o) = 2*o**3 - 3*o - 1. Let m be (-248)\/(-372)*(-30)\/(-4). Give m*i(t) + 6*z(t).\nAnswer: 7*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 878 - 1610. What is the common denominator of (-165)\/(-24)*(q\/(-150) + -4) and 83\/300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 1.18.\nAnswer: 64.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -301 - -10125?\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(-3 + (2*(sqrt(108) + 2*sqrt(108)) - (sqrt(108) - (sqrt(108) + sqrt(108) + -3 + 2*sqrt(108)))))*-4)**2.\nAnswer: -259200*sqrt(3) + 3513599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1339.1882 - 1317.18819975. Let c = -19 + -3. Let l = w + c. Round l to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310910 is divided by 12469.\nAnswer: 11654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 623 and 172417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 6*j + 1. Let g be (-248)\/(-10) + (-10)\/(-50). Suppose 4*q - g = -5*f, q = 5*f + 6*q - 25. Give b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3433 and 251491281?\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 4*j - 25, -5*r = -2*j - 107. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3407, -32516, -81035, -148964?\n\"Answer: -9705*m**2 + 6*m + 6292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose w = -4*r - 0*r. Suppose 2*o + f + 0*f - 48 = r, -2*o + 48 = -5*f. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/4 + 12087*w**2\/4 + 78481*w\/2 = 0.\nAnswer: -12074, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*b - 12 = 0, -4 = g + b - 5*b. Suppose -3*c = 15, -5*a - g*c = -c. Calculate the remainder when 44 is divided by 15\/(a - (4 - 2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1552\/36945 - 2\/821. Let p = 139\/90 + y. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212227 + -0.3\nAnswer: -212227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34708.\nAnswer: 2, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -1667313.\nAnswer: -1667317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2960*d = 2976*d - 7913584. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -1171?\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 844*f**3 + 3 + 839*f**3 + 4*f.\nAnswer: -5*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/112 and -59\/1552453?\nAnswer: 24839248","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 4231*d - 4327493. Give z(-1731).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 476 and 192100.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17191878 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**5 - 171*w**4 - 3*w**2 - 250707*w?\nAnswer: 20*w**3 - 2052*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -4302422331?\nAnswer: 4302422323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v*v**7)\/v*v))**(3\/4)\/(v**(-1\/6))**23 assuming v is positive.\nAnswer: v**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3\/8 - 22901*v**2\/2 - 1373871*v\/8 - 824301\/2 = 0.\nAnswer: -91589, -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -26, -36?\n\"Answer: -10*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -0.1, -3017\/3, 0.5, -4\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14523*t**2 + 12073*t**2 - 2236 + 743 + 751 + 743 as f*t + v + o*t**2 and give o.\nAnswer: 26596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7833584 and 4576.\nAnswer: 203673184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 864616 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2462 - -4359. Suppose 2*r = b - 313. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/(2\/144). Suppose -71*o + 1044 = -13*o. What is the highest common divisor of p and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (5 - -12 - -6) - 10) + -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 14. Let x = 12 + d. Let o = 5655.4 + -5655. Which is the third biggest value? (a) o (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-16)*36\/((-12)\/(-2))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 = 7*h + c, 5*h - 4*c = 26. Suppose -5*q + s = h, -3*s = -5*q - 0*q + 4. Is -38*(q + 15\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1775586888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a**3 + 2*a**2 + 15*a - 26. Let p be v(3). Let k = p - -211. Solve -3*r - r = k*w - 35, 2*w + 3*r - 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 + 20. Suppose 3*y - 2431 = -2425. What is the remainder when f(0) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a hour?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + x + 9, -4*s - x = -3*s. Let r be 16\/6 - (-1)\/s. Is 2 a factor of r\/2*(-8)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from eeeenlht?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1782 in -0.3, 5, -14, -1\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -46 (c) 20435.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2269*i**4 - 19715*i**3 + 3250461*i**2 - 4.\nAnswer: -54456*i - 118290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 v when three letters picked without replacement from {h: 1, f: 2, v: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/10858 + -10867\/32574. Put 4, n, -0.02589 in decreasing order.\nAnswer: 4, -0.02589, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*-2*(-1)\/(-4). Let j(a) be the first derivative of -a**2 + 13\/3*a**3 + a - 146. Give j(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 3)**2 - sqrt(117)*2 - (((sqrt(468)*-2)\/sqrt(9))\/(sqrt(36)\/(sqrt(9) - sqrt(9)*2)))**2)*-3.\nAnswer: -4590 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 672, 1195, 1574, 1809, 1900, 1847, 1650?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrht when four letters picked without replacement from {t: 1, a: 2, s: 2, h: 1, r: 2, q: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**4 + 15*p**3 - 15*p**2 + 5*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1516.974 + 0.974. Let p = n + 1444.7. Let c = 71 + p. What is the second smallest value in c, -13, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let l be ((-3)\/1*-1)\/(-1). Let f(w) = w**2 - 3. Let h be f(l). Solve 0 = p*b - h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113866 * -5.23\nAnswer: -595519.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4071, -2\/39, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.0849022 rounded to two decimal places?\nAnswer: 15.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -5*g**6\/24 - g**4\/4 + 8*g**2. What is the second derivative of n(j) wrt j?\nAnswer: -150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10222002 (base 3) to base 9\nAnswer: -3862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 6429*n**2 - 12915*n + 96525.\nAnswer: 3*(n - 2145)*(n - 3)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359960627?\nAnswer: 3, 109, 199, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*d**2 + 107*d**2 - 50*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38467828?\nAnswer: 2, 7, 1373851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/((-1)\/2). Put 0, -4, m in descending order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -21*b**3 - 11*b**2 - 4*b + 5. Let i(j) = 11*j**3 + 5*j**2 + 2*j - 3. Let h(c) = 6*a(c) + 10*i(c). Factor h(v).\nAnswer: -4*v*(2*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*o + 5*t - 100 = 383*o, 0 = 2*o + 2*t - 40 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g)**(-22)\/(g**5\/(g\/g**(2\/41)*g*g)) assuming g is positive.\nAnswer: g**(-986\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1143*h + 4607*h - 2130*h)*(-1 - 8 - 3) as y*h + a and give y.\nAnswer: -16008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2. Let f(i) = 9*i - 11. Let j be f(1). Let l(m) = -m - 5. Let p(b) = j*l(b) - 5*z(b). Let h(x) = -2*x**2. Give h(p(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 187 = 3*m - 501, -3*m = -u - 700. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 7 + (-4 - -9) + -4 - -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 122*c**2 - 6273*c + 975. Give p(-161).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 16 - (5 - 6 - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 24000773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 2*h**5 - 7*h)*(-2 + 2 - 1)*(1 + 1 + 0)*(1 - 1 + 1).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:26 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -s + 3*l - 12, 9 = -2*s + 3*l. Solve d + 3 + 2 = s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 5*o**2 + 7*o - 5. Let c be s(6). Suppose 5*q - 25 = -3*a, q = -q - 3*a + 1. Suppose 3*d + q = 5. Put d, -4, c in descending order.\nAnswer: c, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9185804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + (-8 - -16) + -22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*1 - sqrt(77)*2*-6)\/(sqrt(56)\/(sqrt(512)*-1)).\nAnswer: -128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -237918 and 0.3?\nAnswer: 237918.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - 9)*(0 + 1). Let m(r) = -r**2 + 2*r + 7. Let q be m(a). Suppose -12 = q*t - 4*d, -5*t - 6 - 3 = -3*d. Solve t*n + 4*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 6:35 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30815, 29931, 28457, 26393, 23739?\n\"Answer: -295*u**2 + u + 31109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147*p + 68 - 248*p + 112*p - 2*p - 2 + 2 - 4*p + 2*p + 4*p + (3 + 0 - 1)*(-2*p - p + 2*p) + 0*p - 4*p + 2*p.\nAnswer: 7*p + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7. Suppose 2*i + 2*m - 18 = f, 2*i - 30 = m + 3*m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*y + 44 = 0, 4*l + 1 = 3*l - 4*y. Let t(f) = f**2 + 9*f + 3. What is the units digit of t(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.28 and -385.2053.\nAnswer: -107.857484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1299.8 in -1\/3, 4, -137, -2\/7, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 27*y - 46. Let h(j) = 2*j**2 + 14*j + 23. Let s(a) = 5*h(a) + 3*k(a). Determine s(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -268 - 24281?\nAnswer: -24539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 72 = 3*k, 0*j + 3*j + 113 = 4*k. Let x = k + -16. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*a - 721 - 3232. What is the remainder when 116*(-1)\/(2\/(-5)) is divided by a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -6. Let u be p\/(-5)*2\/95. Put -0.2, 0.1, u in decreasing order.\nAnswer: u, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278347 - 543498. Let r = d + 114151. What is r rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 52 - 2. What is the remainder when 88 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/20)\/((-3)\/12). Suppose -3*k + 645 = -255. Let q = k + -2104\/7. Put m, q, 5 in descending order.\nAnswer: 5, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33541772 + -4?\nAnswer: -33541776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 161*o + 280 - 110 - 107. Let r(z) = 10*z + 4. Determine 63*r(a) - 4*y(a).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -726*r + 9431. Determine b(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11672728 is divided by 897898?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 4*x**2 + 6*x + 24. Let h be i(-4). Suppose h = p + p - 38. Let q = p + 139. List the prime factors of q.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Solve 1 - 10*u**3 + 9*u**2 + 25*u - 3 - 22*u + t*u**2 = 0.\nAnswer: -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/10 - ((-3)\/18*-3)\/(440\/(-95040))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25262 divided by -262\nAnswer: 12631\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Suppose -b*p + 2*f = -1640, -7*p + 2*p + 4*f + 1650 = 0. Is p\/10 + 6\/15 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, and 1 l when three letters picked without replacement from rltpulb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b18492 (base 13) to base 12.\nAnswer: -147286b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**3 - 2*s**3 + 3*s**3)*((-3 + 1 + 7)*(-6*s + 19 - 19) + 15*s - 23*s + 16*s) to g*s**2 + b + q*s**4 + k*s**3 + r*s and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3470 + -3178. Calculate the remainder when v is divided by 127.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -29, 2, -1.\nAnswer: -29, -1, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6561*l + 4 - 460*l - 4 + 337*l.\nAnswer: 6438*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 2098. Let n(f) be the second derivative of 0*f**2 - 6*f - 35\/6*f**3 + 0. What is n(x(k))?\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 94692.33 rounded to the nearest 100?\nAnswer: 94700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 83. Suppose 0 = -d + j + 7. What is the smallest common multiple of d and 382?\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1321 (base 5) to base 13\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 128*n - 1869286 = -127*n, -5*z = 5*n - 3115430. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 15*p = -24. Suppose -p - 10 = -4*c - 3*l, c + 3*l = 0. Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413 (base 15) to base 16.\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - sqrt(255)\/(sqrt(5) + sqrt(80) + sqrt(5))) + sqrt(51))\/(sqrt(3) + sqrt(189)\/sqrt(7)).\nAnswer: 11*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -51, -112, -229, -420?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-2*o**2 - 3*o + 3*o) - 7*o**2 + o**2 + 3*o**2 - o**2 + 3*o**2 + o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = 103*u + 2*f - 89, -2*f - 96407 = 3*u - 96396 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.777 to 1 decimal place.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -85, 5, -0.4, -35, -2, -12?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1110)\/(-384)*2\/5 and 71\/(4\/(1*-2)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -13\/63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(304) + 4 + sqrt(304) - sqrt(304) - -1*sqrt(304)*-1) + (sqrt(1216) - (3 + (sqrt(1216)*3 - sqrt(1216)))**2 - (-4 + sqrt(1216) + 1)).\nAnswer: -4873 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**3 - 9*a + 4. Let c be (16\/(-10))\/((-44)\/(-110)). Let x(n) = -4*n**3 + 4*n - 2. Calculate c*v(p) - 9*x(p).\nAnswer: 4*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*y + 8*y**2 + 4*y**4 - 2\/3*y**5 + 0 - 26\/3*y**3.\nAnswer: -2*y*(y - 2)**2*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27088 + 76503. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.313 + -0.312019. What is s rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626*x - 7860*x + 1627*x + 1546*x + 1644*x + 1550*x.\nAnswer: 133*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 0.9. Let k = 8.04 - a. Round k to 1 decimal place.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 242 + 0*z - 240 + 5*z + (0 + 2 + 2)*(0*z + z + 0*z).\nAnswer: 9*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*d = -0*f - 313, -1700 = 5*f + 2*d. Let x = f + 344. Solve 13 + 17 = x*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (-1 + -4 - (-21 - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -2 + -14 + (2 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auqzgqqqrzqaqrzqaauq. What is prob of sequence aa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-648)\/486)\/(4\/63).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 3*h - 3*h. Suppose 5*l - 8 - 12 = 0. Let c(u) = 3*u - 4*u + l*u. Determine c(b(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 4*x**2 - 6*x**2 + (-x**2 - 4*x**2 + 2*x**2)*(-53 + 25 + 29) in the form c*x + b + j*x**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = 0, -y + 1 + 2 = -5*z. Let v(p) = -2*p**3 - 24*p**2 - 61*p + 31. Let w be v(-8). Let d = 2 - -3. Solve 0 = -d*i + y + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 6*y**2 + 4*y + 5. Calculate t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19787 is divided by 6515.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poopppjyopofpjpp. Give prob of sequence fo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6124 + 910. List the prime factors of z.\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128.7 - 130.7. Let k = 252\/5 - 51. Which is the smallest value? (a) -0.5 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -124, -279, -496, -775?\n\"Answer: -31*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, m: 11}. Give prob of picking 2 f.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/20 - u**4 + u**3\/6 + u**2\/2 - 12*u. Let b be w(-12). Let g = b - -22. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -24. Suppose 2*h = -3*v + v + 94, 0 = 5*h + i. What is the highest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 1040587051878125*l**2 - 577051000*l + 80 = 0.\nAnswer: 4\/14426275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-108))\/((-42091)\/(-294) + -143)\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.115+-0.04525\nAnswer: -1.16025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 39. Suppose p*z - 81 = 191. Suppose -5*f = -4*x + 47, f - 63 = -3*x - 4. Calculate the remainder when z is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -16766 (b) 750 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 372*k**2\/7 - 12470*k\/7.\nAnswer: 2*k*(k - 215)*(k + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.9 + -37. Let s = g - -3. Sort 5, s, 2 in ascending order.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*w**3 + 18*w**3 + 5*w**3 + (w + 6*w - 3*w)*(w**2 + 3*w**2 - 3*w**2))*(1 + w - 1) as y + d*w**4 + i*w**3 + q*w + r*w**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 15*m - 15. What are the prime factors of x(10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b - 3929*b**3 + 6*b**2 - 12*b**2 + 6*b**2.\nAnswer: -3929*b**3 + 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2401344 (base 5) to base 14.\nAnswer: 12050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r - 2*g = 30, 2*g - 20 = -r. Suppose -4*o + 5*c = o - r, o - 4*c = -1. Factor 0 + 16\/15*q**2 + 2\/15*q**o + 32\/15*q.\nAnswer: 2*q*(q + 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -378442 and 0.1.\nAnswer: -37844.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 15, -2*m - 5*r + 1 = -4*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -71. Let h be ((-15)\/r)\/((-5)\/1800). What is the highest common divisor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 2*y - 46, -y - 2 = 0. Let a = m - -31. Let c be (16\/(-20))\/(a\/(-15)). Calculate the highest common divisor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + z)*(6*z - 6*z + 15*z**2) + 3*z**3 + 2*z**3 - 2*z**3.\nAnswer: 33*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43cb - -29?\nAnswer: -43a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-20) + 12\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/((18\/21)\/(-3)). Suppose 4*o = -16 + p. Suppose 5*k + 2*b - 8 = 0, -3*b + 4 = -7*b. Solve o = -7*c + k*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23165 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: -440*786\nAnswer: -345840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:34 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9 - 4. Let n = -2 - -2. Let g = n - m. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.23952 months in decades?\nAnswer: 0.226996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)*m\/m**(2\/11))**(1\/3)\/((m*m\/(m\/m**(-2\/7))*m)**(-1\/5)*(m*m\/(m**(1\/2)\/m)*m)**(32\/5)) assuming m is positive.\nAnswer: m**(-74713\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1027, -2, 4, 28835, 2 in increasing order.\nAnswer: -2, 2, 4, 1027, 28835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6501 - -4875751\/750. What is the common denominator of q and -7\/20?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/8 (b) -1 (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -51. Suppose -a + 74 = 5*p. Solve q = p*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 5)\/((-9)\/5386500). Round g to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k + 5*k + 3*k + 5*k. Let u(i) = 7*i. Give -8*n(b) - 3*u(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241076609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2. Let s(y) = -y**2 + y + 2. Let z(g) = 7*g + 14. Let m(n) = -7*s(n) + z(n). What is m(r(v))?\nAnswer: 112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 6*f - f)*(2*f**4 + 0*f**2 + 0*f**2) - 3*f**5 - 3*f**5 + 5*f**5 - f**5 + 4*f**5 - f**5 - 517*f**4 + 517*f**4 - 439*f**5.\nAnswer: -434*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 7\/4*i**2 + 4*i = 0 for i.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 - h. Let n = -23 + 27. Suppose -10*u - n = -14*u. Give y(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 33 = -5*v + 2*v, -3*v - 4*u = 33. Let w be v\/1*(-2 - 0). Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/14 and -47\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*z + 83*z + 1164 = 259*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from cvvvyvvyvcvyyvvy.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -13. Calculate the remainder when 64 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/1 + ((-476)\/2)\/(-14). Solve -19*t = -13*t + u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*(1*sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187)))\/(sqrt(44)\/sqrt(4)*6))**2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*z - 105*z**2 + 5*z + 144*z**2)*(-5 + 5 + z) - 2*z**3 + 0*z**3 + z**3 to r*z**2 + f + d*z + g*z**3 and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 - 15*n**2 + 0*n**3 + 15*n**2.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124, 73, 22, -29, -80, -131?\n\"Answer: -51*f + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r - 40*r + 12*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 259887481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*m**5 - 817*m**4 - 10*m**2 - 11.\nAnswer: -1320*m**2 - 19608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 6*p + 12. Let n(j) = 3*j**2 + 5*j - 10. Let i(v) = 5*k(v) + 6*n(v). Let q(d) = 7*d + 1. What is i(q(g))?\nAnswer: -98*g**2 - 28*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/28 - 1075\/28. What is the common denominator of (-39)\/(-2)*15\/9 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t + 2. Let p be z(-1). Suppose 5*l - 2*l - 36 = p. What is the remainder when 35 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -49, -169, -399, -775, -1333?\n\"Answer: -6*d**3 - d**2 - d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31225\/6 - -5191. Find the common denominator of b and (-1)\/(-6)*1*-97.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:57 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + v = 4, -4*l + 5*v + 8 = v. Suppose -4*t - l*m - m = 16, -2*t + 4*m = 38. Calculate the remainder when 59 is divided by (-3 + 2 + t)*-2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128253 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11919877.\nAnswer: 359, 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253926?\nAnswer: 2, 3, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -869 divided by 11.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -127 - -119 - (6 - -2) - 32\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -85*y**3 + y**2 - 5*y + 5. Let n(l) = 83*l**3 - l**2 + 6*l - 5. Calculate -6*h(i) - 5*n(i).\nAnswer: 95*i**3 - i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32708*j**2 - 35799*j?\nAnswer: 65416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1772939 and 1957?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/176*4\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/20 - 5*j**4\/12 + 4*j**3\/3 + 3*j**2\/2 + j. Let x(a) = 34*a**3 + a - 1. Let g be x(1). Let d = g - 40. What is k(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 1. Let u be k(1). Let o be (0 + 1\/(-3))*-6. Let m(j) = 3*j**o + 0 - 4 + 0 - j**3 - 5*j**2. Determine m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.6 + -7.4. Let i = -23.21 - 0.39. Let g = i - u. What is the third smallest value in -0.07, g, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3686, 14923, 33644, 59849, 93538?\n\"Answer: 3742*f**2 + 11*f - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 - 3) + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -205*h**3 - 270*h**2 - 2*h. Let o(r) = r**3 - r**2 - r. Let w(a) = 2*o(a) - q(a). Find the third derivative of w(c) wrt c.\nAnswer: 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(3200) + (sqrt(14) + -2*sqrt(2016))\/((sqrt(7) - (sqrt(7) - sqrt(63)\/(sqrt(9) + sqrt(36)\/sqrt(4) + sqrt(9)))) + sqrt(7) + sqrt(7)))**2.\nAnswer: 243602\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -44. What is the remainder when (-8)\/(-28) + (-257)\/(-7) is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 divided by 5.\nAnswer: -213\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561056 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1205800 at least as big as -1205805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 28b6b1a1?\nAnswer: -28b6b1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98015418 divided by 3.\nAnswer: 32671806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-2080)*30\/(-15).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19971129?\nAnswer: 3, 233, 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 916, 915, 914, 913, 912, 911?\n\"Answer: -d + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 4*s**7\/7 + 613*s**4\/4 + 1400*s**3\/3 + s - 7504. What is the third derivative of a(j) wrt j?\nAnswer: 480*j**3 + 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 2*h**2 - 7*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmxzazxxfff. Give prob of sequence maa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29833.86 minus 5?\nAnswer: 29828.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72927090829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11753885 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - -2)*16\/56. Suppose -4 = -3*w + 4*t, c*w - 3*w + 5*t + 5 = 0. Suppose 3*f + 2*o - 181 + 49 = w, -5*f = o - 220. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5 (c) -32 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 1. Let x be (-46)\/(-12) + 4\/24. Let a(k) = -k**3 + 4*k**2 + 4*k - 3. Let s be a(x). What are the prime factors of u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98.42166l?\nAnswer: 98421.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*k - 578*k - 45*k = -27456 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((30\/2)\/3)\/(7 - 6). Let y(z) = -14*z - 113. Let j be y(-12). What is the highest common divisor of j and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*a**2*c + 172*a**2 - 1266*a*c - 13*c wrt a?\nAnswer: -54*c + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/3 + -6)\/((-8)\/2). Let n(s) be the second derivative of -4*s + 5\/2*s**2 + z*s**3 + 0. Determine n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3132498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*n**2 + 0*n**2 - 7*n**2 - n**3 in the form t*n + v*n**2 + h*n**3 + y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Suppose 0 = -5*r - 5*p + 15, -8*r + 1 = -3*r - 2*p. Let k(w) = -4*w**2 + 4*w - 3. Let j(i) = r*k(i) - 3*d(i). Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 8. Let t(y) = y**l - y + y. Let k(b) = -2*b**2. Determine k(t(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/925? (a) -2\/7 (b) -0.01 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 10379*q + 4 = 10381*q, 3*m = -4*q + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1350, 2699, 4048, 5397, 6746, 8095?\n\"Answer: 1349*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -13*y + 55. Is (8 - (-866)\/y)*(-1 - -3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -233, -235, -237, -239?\n\"Answer: -2*x - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -78*b + 11136. Determine h(143).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**3. Let n(a) be the first derivative of 15*a**4\/4 - 5. Give 13*j(w) + 6*n(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13247 + 14267. What is the remainder when b is divided by 105?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(27)*-5)\/(sqrt(576) - sqrt(576)*-2 - sqrt(9)).\nAnswer: -5*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -60*o**2. Let d(l) = 5*l. Calculate m(d(q)).\nAnswer: -1500*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccfcfcf. What is prob of picking 2 f and 2 c?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Put -1, f, -17 in descending order.\nAnswer: f, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 21757180\nAnswer: -1\/5439295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 54*t + 2. Let y be a(-18). Solve -d + 5*s - 1 = y*s, 2*s + 21 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398296*i - 398300*i - 37 + 205 = -5*g, -5*i + 5*g = -165 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k*(k\/(k\/(k\/(k**(-5\/2)*k))))\/k*k)\/k)*k**(-3\/11) assuming k is positive.\nAnswer: k**(-61\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 1:25 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 0. Suppose 5*s - 4*t - 224 = v, 2*s - 4*s - t + 100 = 0. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/7, -5, -4 in descending order.\nAnswer: 1, 2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4503*y - 4503*y + 61*y**2)*(1 - 1 + 2) - y**2 - 2*y**2 + 2*y**2 to the form m*y + f + c*y**2 and give c.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u - 198 = -5*h, 2*h - 474 = -5*u. What is the remainder when u is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/4 + 8*s**3\/3 - 5*s**2\/2 + 10*s + 1. What is the units digit of p(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232331031 (base 4) to base 15\nAnswer: 3bec3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + -1. Let q = 1 - k. Let h = 0.42 - 0.02. Which is the nearest to 3\/2? (a) q (b) h (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 148*r + 4898. What is the remainder when 4377 is divided by b(101)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Is (2 + -4 - q) + 61 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9\/199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1270312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 3) + 37 + -31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-10))\/((-6)\/5). Let v = -11 - -7.7. Let b = v - -3. Sort b, 2\/7, m in ascending order.\nAnswer: b, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 + -6. Sort 0.1, l, -2.\nAnswer: -2, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78167, 78154, 78141, 78128, 78115?\nAnswer: 78102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 733140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202001000020 (base 4) to base 16.\nAnswer: -881008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) -2\/5 (b) 0.4 (c) 4463 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-3 - 13) + 10) - (1 - 22)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -18*z + 4. Let b be k(6). Round b to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**3 - 5*h**3 + 4*h**3)*(1286 + 538 + 385) to x + y*h**3 + l*h**2 + p*h and give y.\nAnswer: 4418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) -3 (d) 2033 (e) -1\/6 (f) 0.05615\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3993)*-1 + sqrt(3993) + (2*sqrt(3993) + sqrt(3993) + sqrt(3993))*2)\/((sqrt(324)*1)\/sqrt(3)*4).\nAnswer: 11*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013308779011 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -204.090377 to the nearest integer.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-12) - (-3)\/(180\/92230)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 186703 + 5?\nAnswer: 186708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:21 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208 + 358. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let g be h(2). Suppose 3063*p - 16667 = -361 + 14351 + 6099. Which is the biggest value? (a) g (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 660*o**5 - o**3*x**3 - 2045*o - 54*x**3 wrt o?\nAnswer: 13200*o**3 - 6*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - (1 + -9 + (76 - 46)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 2160 = 0. Let x be (-24)\/96 + (-84)\/(-16). Suppose -x*j + 4*r = -675, j - z = -3*j + 2*r. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021562 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5 = 2*l. What is the remainder when 3 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nonooswsnnooo. Give prob of picking 1 w and 1 s.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360817 = 214*b - 1357387 - 572024. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39606.71037 + 39607. Let x = 73.36563 - g. Let z = 73 - x. What is z rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) - (2 + (-84)\/45). Let f be (-1)\/12 + 1\/3. Which is the closest to w? (a) -0.5 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 10*v = -3*v. Let n(m) be the third derivative of v*m**3 - 7*m**2 - 1\/18*m**4 + 0 - 1\/90*m**5 + 1\/180*m**6 + 0*m. Factor n(w).\nAnswer: 2*w*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4268787?\nAnswer: 3, 19, 74891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 44*k - 2944. Let t be m(67). Let l(s) = -s**2 + 7*s - 22. What is l(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {l: 1, b: 7, h: 1}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -164565920 divided by 36320\nAnswer: -4531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-115) + ((-248)\/(-1488))\/(782\/(-592))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from ffflfl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -42. Suppose 8*y - n = 2*y. What is the fourth biggest value in 1, y, 8\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1908*l**3 + 952*l**3 + 955*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03487522 rounded to three dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 3, 364, -0.4, 18.9 in decreasing order.\nAnswer: 364, 18.9, 3, 0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbn when four letters picked without replacement from nnbn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*u - 2 = 0, -5*n = 7*u - 9*u - 16. Suppose -n*f + 1680 = 2*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/26 + 14\/91\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1426075 - 0.07.\nAnswer: -1426075.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, d: 1}. Give prob of picking 3 g.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggl when three letters picked without replacement from ggll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8))\/((d*d**(-1\/8))\/d)*d**(-4\/9)\/d*d\/d**(-1) assuming d is positive.\nAnswer: d**(-455\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooqqosoooqxxoo. What is prob of sequence qsoo?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 458286?\nAnswer: -1\/152762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(sqrt(88) - (sqrt(88)*1 + sqrt(88) + sqrt(88))))\/(sqrt(8) + sqrt(128)*-1))**2.\nAnswer: 27500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.786 times 0.5?\nAnswer: 3.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-5)\/((-10)\/2). Solve s + 4*s + 18 = -3*o, -3*s - 6 = -h*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -3. Let t = 0.05 + 9.95. Let q = -10.1 + t. Is q less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/30)\/(8\/(-15)))\/(30\/80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 8. Calculate a(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -22, -47, 6, 4 in descending order.\nAnswer: 54, 6, 4, -22, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1012300 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3133 in 0.5, -6\/11, -1, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/7 + 10*b**4\/7 = 0 for b.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4590671692 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:32 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -15. Let x be (-6)\/9 + f\/6. What is the nearest to -0.1 in x, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101221942 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 450394853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180826188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/683398872?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 4. Let p(r) = -18*r - 12. Let z(u) = 3*p(u) - 10*w(u). Is 12 a factor of z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6874972*f + 40. Let c = 83 - 84. Let o(z) = -z + 1. Let d(t) = c*i(t) + 24*o(t). Let x be d(4). What is x rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2553*t**5 + 5*t**3 - 8*t**2 + 2387439*t wrt t?\nAnswer: -51060*t**3 + 30*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.3, -17.40875?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.81, 2\/7, 538?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -44.529956*0.4\nAnswer: -17.8119824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2, 3*t + 1746 = -4*q - 2*t. Suppose 0*n + 20 = 3*n - 4*k, -5*n - 3*k = -43. Calculate the least common multiple of q\/(-35) + (-2)\/5 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8573904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:38 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(104)*4)\/(-2*-2*sqrt(4) + sqrt(4) - sqrt(4)))\/(4*((sqrt(288) - (sqrt(288) + (1*sqrt(288) - sqrt(288) - sqrt(288))))*-5 + sqrt(288))))**2 + 0.\nAnswer: 13\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/7 - 36*o**2\/7 + 37*o\/7.\nAnswer: -o*(o - 1)*(o + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 3*c**2 + 3*c + 3. Let m be v(4). Let n be m\/(-4) - (-11)\/4. Let b = -23 - -23. Solve b*p + n = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.324? (a) -3 (b) -0.5 (c) 4.421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84740879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 23*j**4\/24 + 5*j**3\/3 - 8*j**2. Let m be h(7). Let t = m - 41. Calculate the remainder when t is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b + 63. Let k be s(11). Suppose 2*n - k + 51 = 3*j, -j + 14 = n. Solve 0 = 4*q - j + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-221 - -220) + (1 - -10) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 148*v**2 + 7*v + 5. Let c(n) = -149*n**2 - 8*n - 6. Calculate 5*c(l) + 6*y(l).\nAnswer: 143*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 49. Let o = -12 - c. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -574 - -576. Let y(t) be the first derivative of 0*t**3 + 3\/4*t**4 + 10 - 2*t + 0*t**i. What is the first derivative of y(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 154*o**2 - 123868. Let i(a) = -a. Calculate v(i(g)).\nAnswer: 154*g**2 - 123868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(27)*-2 - sqrt(27)) + 5)*-5)**2.\nAnswer: -9000*sqrt(3) + 26800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -63.1 * 2.221\nAnswer: -140.1451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*((4 + sqrt(99) + 2 - sqrt(99)) + -3*(sqrt(99) + 1 - sqrt(99)) + sqrt(99)))**2*-4 + -2.\nAnswer: -3889 - 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4272 + -0.046\nAnswer: 4271.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/20 - 5*u**4\/12 + u. Let h be (3 - (6 - 3) - -2) + 3. Let a be c(h). Which is bigger: a or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m**(2\/9)*m**(6\/11)*m*m*m*m**(-2))\/((m*m**(5\/3)*m)\/(m\/(m**(1\/13)\/m))*((m*m**(2\/5))\/m)\/(m*m**(3\/8))) assuming m is positive.\nAnswer: m**(-51527\/51480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1982 and 7\/32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 + 287*b**2 - 118*b - 223. Determine i(57).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 270 = 0. Let b be 8\/10 + (-262)\/(-10)*1. Calculate the highest common divisor of x and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2, 0*d - 2 = d - 5*q. Solve d - 6 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-33) - 6*(-1)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -16. Let b = 6 - t. Solve b*n + 4 = -5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a - 2*a)*(486 + 539 - 910).\nAnswer: -345*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15)\/(h**(-2)*h*h*h))\/(h**2\/h*(h*h**(-5\/4))\/h) assuming h is positive.\nAnswer: h**(-37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 69 + 27. Let v = g - -31. Does v = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4 and -44\/3757614555.\nAnswer: 15030458220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -3, -4, -5?\n\"Answer: -i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -6226831?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m = -3*u - 72, 4*m - 8 = -23*u + 19*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*16\/(-112))\/((-1)\/(-11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Suppose 4*r = 6*r - 4. Suppose -r*u - i*u + 25 = 0. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**42*(r*r**(-5)*r*r)**(1\/38) assuming r is positive.\nAnswer: r**(797\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n. Let l be q(-3). Let p = l - -56. What is the highest common factor of 160 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/8 - 135*a**2\/8 - 1341*a\/8 - 1209\/8.\nAnswer: -3*(a + 1)*(a + 13)*(a + 31)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9790 + 9835. Solve 44*m + 4 = l*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + 5 + -5 + sqrt(17) + sqrt(51)\/sqrt(3) + sqrt(204)\/(sqrt(48)\/sqrt(4))*5.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 26 - (-313 - -360)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 1, u: 1}. Give prob of picking 1 q and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1905 - -1913. Which is the biggest value? (a) p (b) 5 (c) 1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -26774*p**3 + 5*p**2 + 6*p + 3. Let l be z(-4). Let g = l - 513595. Let m be 246\/4*g\/9. Round m to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2 - 4*w - 24. Let i(m) = -m**2 - m - 6. Let h(q) = 4*i(q) - n(q). Let a(b) = -2*b - 13. Determine a(h(x)).\nAnswer: -2*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1549548 and 10010?\nAnswer: 7747740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/16)\/(3\/(-74)). Let p = -13 - x. Put 4, 2\/7, p in decreasing order.\nAnswer: 4, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2348\/51? (a) 2\/3 (b) 3 (c) -1.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 90*u - 46*u - 44*u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let w(x) = 105*x**2 - 40. Suppose 6*m - 6 + 24 = 0. Let o(l) = 8*l**2 - 3. Let s(a) = m*w(a) + 40*o(a). What is s(i(h))?\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132 - 3*m - 177*m**2 - 129 + 257)*(0*m + 3*m - 2*m) in the form y*m + a + k*m**2 + d*m**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*h - 7*h + 2*s, 2*h = -5*s + 26. Let c = h - 4. Suppose 16 = c*d + t, -d - t + 4 = -4*t. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, 182?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**4 - s**3 + 0*s**4 - 2*s**4)*(-6*s + s + 4*s).\nAnswer: -4*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 308, 275, 226, 155?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.36 + -0.16. Let p = r + -4.2. Which is the third biggest value? (a) p (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435274262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13194379 is divided by 3215.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 + 298099*j**3 - 3 + 17*j**2 - 298096*j**3 + 2*j**4 as s*j**2 + g*j + q + a*j**4 + h*j**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1100 - 244 = 0. Calculate the highest common divisor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 85. Suppose -4 = -4*m - 0. Let q = m - -8. What is the remainder when k is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 18. Let f be q(0). Let o = -2 - f. Let v be (27\/12)\/(2\/o). Solve u - 5*l = -v, 6 = 3*l - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 8. Let y = 1931 - 1923. Let t be 3\/4 + 9\/4. Let x(u) = -u - 3*u - 3 + 3*u. Calculate t*l(w) + y*x(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.76292775 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (87\/(-3) - -2)\/1. Let l be ((-6)\/4)\/(j\/6624). Suppose 5*m - l = -2*i - i, -i + 126 = m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + x + 11 - 1 = 0, 5*i = -3*x. Let t be (-1 + (-4)\/(-2))*12. Let d be -6 - ((8 - 12) + -3). Put i, d, t in increasing order.\nAnswer: i, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13970000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 + f + 3. Let t be m(7). Suppose 35 = 5*g + t. Solve 0 = -u - 2*u - 5*k - 2, 2*k = 3*u - g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-50)\/(-45) + 93465\/81 + -5 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**2. Suppose 15*r - 22*r = -21. Let t(m) = -m + 3 - r. What is p(t(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scd when three letters picked without replacement from {q: 1, s: 5, d: 1, x: 2, i: 5, c: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/10 (b) -86\/3 (c) -0.1 (d) 1 (e) -4\/7 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*12*(-8)\/(-32) - (-4 + 932\/132)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/32 - (-5963)\/536.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.393999 (b) -24 (c) 2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -666.23487631 - 243\nAnswer: -909.23487631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 80 = -3*w - v, -44 = 2*w + v. Let i = w - -22. Calculate the greatest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 145.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3143532 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.120010117 to four dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*(-13)\/((-390)\/(-12))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 22. Let y(k) = -k**3 + 5*k**2 + 7*k - 2. Determine y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112180.6 kilometers in nanometers?\nAnswer: 112180600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -9 + 9\/50*j**5 - 7\/10*j**3 + 2\/5*j**4 - 4\/25*j**6 + 1\/70*j**7 + j + 0*j**2. Determine n so that l(n) = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1620 divided by -540\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*278\nAnswer: -834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 44 - (2 + -10 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 102*x + 25. What are the prime factors of w(5)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1135*v - 406544. What is u(-358)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 - 1110101001000100?\nAnswer: -1110101000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -5, 5, 26 in descending order.\nAnswer: 26, 5, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2860 + -2?\nAnswer: 285a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 15*z = 5*y - 297, -183 = -3*y - z. Let p be (-30)\/y + (-63)\/(-102). Solve 8\/17*w - p*w**2 + 10\/17 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -1\/24*m**4 + 0*m + 0*m**3 + 25*m**2 + 0. Let s(h) = 10*h**2. Calculate s(c(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 5093?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.888 + -1.188. Sort -0.9, 0.03, 2, w in increasing order.\nAnswer: -0.9, w, 0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*a**3 - 39*a**3 + 20*a**3 + (6*a**2 - 5*a**2 + 3*a**2)*(1 + a - 1) in the form h*a + m*a**3 + p + g*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypfh when four letters picked without replacement from {h: 3, y: 6, g: 1, p: 3, f: 1}.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/960 + n**5\/120 + n**2 - 7*n. Factor z(o).\nAnswer: -o**2*(o - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419213 is divided by 1791?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22641125 - -510?\nAnswer: -22640415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017344929 rounded to six dps?\nAnswer: -0.017345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 + 0.72. Sort q, 1\/5, -0.1 in descending order.\nAnswer: q, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1900) + -1*sqrt(1900))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -6967) + (-91)\/(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (1 + 3)) + -9 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (1*(sqrt(65)\/sqrt(5) + -3))**2 + -3*(sqrt(65)*1)\/sqrt(5)) + 0.\nAnswer: -36*sqrt(13) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*t + 28 = 0, -4 = 4*p + 4*t - 7*t. Let x be -12*(0 - 3 - p). Is -9 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4143 - -4147. Solve -2*d + 53*n - 10 = 57*n, -s*n = 5*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.155 - 11.155. What is the closest to 1 in q, 1, 2\/13, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2023, 2028, 2027, 2014, 1983, 1928, 1843, 1722?\n\"Answer: -k**3 + 3*k**2 + 3*k + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -15. What is the common denominator of 7\/(-5)*14\/(-4) and 2\/u*(-1128)\/(-60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/364 and -127\/4680?\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*w - 84*w + 78*w to b + i*w and give i.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14132 (base 5) to base 16.\nAnswer: -48f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/5 - 11*y**2\/5 - 7*y - 5 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-291)\/(-60))\/1 + (-4)\/(-5) and 48\/(-28) + 2 + 142\/(-350).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 42 = -6*m + 14 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 320, 1203, 2680, 4757, 7440, 10735?\n\"Answer: g**3 + 291*g**2 + 3*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = -b + 25*d + 378, -3*b - 3*d + 1134 = 0. Calculate the remainder when b is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**2 - 6549*z - 39402 = 0.\nAnswer: -6, 2189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:29 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512 is divided by 61.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -18 - (-5 - 16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -208, -212, -214, -214, -212, -208, -202?\n\"Answer: r**2 - 7*r - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 0, 2*x + 3*c - 170 = c. Is x greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37141\/154 + 1721\/7. What is the common denominator of q and (-185 - 1)*2\/40?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -11, 114, 1, 87, 4 in descending order.\nAnswer: 114, 87, 5, 4, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*p - 15, p + 10 = l - 3*l. Let t be (5 - 4)*-2 - (-1 - 5). Put -4, t, p, -1 in increasing order.\nAnswer: -4, -1, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540464337.\nAnswer: 3, 7, 41, 89, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.163944 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/36)*w)\/w**(4\/11) assuming w is positive.\nAnswer: w**(263\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 + -91. Let x = z - 27. Solve -x = u - 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/480 and -77\/100416?\nAnswer: 502080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -4 (c) -854 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26214926.\nAnswer: 2, 13107463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 (base 14) in base 9?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629259555 a multiple of 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -318.66.\nAnswer: -637.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/5 (b) 2\/15 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 6*o**2 - 2. Let d(j) be the second derivative of j**5\/2 - 5*j**4\/2 + j**3\/6 - 11*j**2\/2 + 269*j. Give -2*d(c) + 11*h(c).\nAnswer: 2*c**3 - 6*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 7:44 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i - 2*i)*(-3 - 4 - 4) - 7*i + i - 5*i + (-i - 5*i + 4*i)*(1 - 6 + 3) as k + x*i and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3366 - -3030. Does -335 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5708402, -11416836, -17125270, -22833704, -28542138, -34250572?\n\"Answer: -5708434*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(7) + 1)*2)**2 + 1 - (3 + (2 + -2 + sqrt(7) - sqrt(7)))).\nAnswer: 8*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3, 4, -21 in increasing order.\nAnswer: -21, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 32. Let x be a(9). Let s = x + 158. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + q**4)*(-5*q + q + 5*q) + 2*q**5 + 1 - 1 + (1 - 1 - q**2)*(3*q**3 - 8*q**3 - 2*q**3) + 0*q**5 + 3*q**5 - q**5 - 4*q**5 + 4*q**5 + 2*q**5.\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -1) + (21 - 30)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 48. Let v(d) = 791*d + 3196. Let n be v(-4). What is the highest common factor of p and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 4198*b**3 - 130949*b**2 + 634350*b.\nAnswer: b*(b - 25)*(b - 6)*(b + 4229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 23 (c) 1 (d) -4960\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 10325976*y\/5 + 13328222544072\/5.\nAnswer: 2*(y - 2581494)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.187117 kilometers?\nAnswer: 3187117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (204\/(-4))\/(48\/(-27728)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*l = 130*l. Is l at least -219\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 4*x + 10. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m**2 + 2*m - 43. Let x(a) = -3*a**3 + 14*a**2 - 9*a + 9. Let v be x(4). Does 12 divide j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 217 + -107. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/15)\/(v*(v**13\/v)\/v*v))\/((v**(-1)*v)\/v)**(-22) assuming v is positive.\nAnswer: v**(-526\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -61d (base 15) to base 8\nAnswer: -2542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p)**(-2\/97)\/(p**(-2\/7)\/p)**(-28)*(p**3*(p**(-1)\/p*p)\/p)**(2\/21) assuming p is positive.\nAnswer: p**(-754\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 - 5)*(-u + 1 - 1) + (0 + 2 - 4)*(4772*u - 2389*u - 2398*u + 72) as m*u + t and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 4*o + 1. Let w be z(5). Suppose 10*r - w = 9*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3784 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 141 = 3*m, 3*l = 2*l + 4*m + 52. Let o = 32814\/455 + -1512\/65. Are l and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68791.38 * -4\nAnswer: 275165.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1780430 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {e: 2, g: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66398 divided by 2?\nAnswer: 33199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 2*w - 118 + 0*w**2 + 1\/3*w**3. Let h(s) = s**2 - 9*s. Calculate h(j(t)).\nAnswer: 4*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.74 + 8.54. Round j to 2 decimal places.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/9, 13, -54, 4, -0.04, -107?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1913, 2189, 2463, 2735, 3005, 3273?\n\"Answer: -t**2 + 279*t + 1635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*r + 1816*q - 1813*q, -3*r + q = -56 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 26*m - 23*m + 11538, m = -2*s + 7680. What are the prime factors of (-2)\/(-3) + s\/6?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1 - 52\/(-20)*2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*j = -12, 35*j = -5*f + 37*j - 55. Which is the smallest value? (a) 5 (b) 2\/9 (c) f (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -86.9. Let j = 1 - 5. Let k = x - j. What is the closest to 1 in 2\/3, k, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 241*z - 363. Let f be b(3). Calculate the highest common factor of 410 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 350 - 350 + 2688*p**2.\nAnswer: 2688*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p - 1. Let w(g) = 3*g**2 - 6*g - 11. Let b be 16 + -4 - (-306)\/(-18). Give b*v(m) + w(m).\nAnswer: -2*m**2 - m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 31. Suppose 6*c + 4*c - h = 0. What is the nearest to -0.1 in 2, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103849.4819 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**2 + 18*t + 10. List the prime factors of a(6).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.8 + 52.6. Let f = l + -23.7. What is the third biggest value in f, 0.4, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 15*m + 10. What is a(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18\/427 + 20599\/7686. Find the common denominator of (4\/48)\/(2\/254) and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6823*p**2 + 231981*p - 3. What is b(34)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 1. Let y = -69 + 82. Suppose -5*x + 11*k = y*k - 20, 0 = -k. Calculate d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17351620 to the nearest one hundred thousand.\nAnswer: -17400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128846*c + 5928 = -128998*c for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j + 2*b, -j + 8*b = 3*b - 7. Let w be (j*8\/42)\/((-2)\/14). Differentiate o**4 - 20*o**4 + w*o**4 + 11*o**4 - 44 wrt o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 352852066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 546108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 5*b + 58 - 62, 5*v + b = -14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18172 is divided by 2864?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6256947*m + 12513887*m - 6256941*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.2, 5, -2372, 3\/4, 1 in decreasing order.\nAnswer: 5, 1, 3\/4, -0.2, -8, -2372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13 - 2\/13*d + 2\/13*d**3 + 4\/13*d**2.\nAnswer: 2*(d - 1)*(d + 1)*(d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 8:44 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 1\/6*b**3 + 0*b**2 + 1\/80*b**5 + 5\/48*b**4 + 24*b - 22. Let y(u) be the first derivative of i(u). Factor y(r).\nAnswer: r*(r + 1)*(r + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 5 (b) 1 (c) -3\/20 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/547 or 1?\nAnswer: 8\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + 5*l + 6. Suppose 16 + 8 = 4*c. Let w be p(c). Suppose 3*x = 7*x - 16. Solve y + w = -x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (279 - 43 + 334 + (3 - 4 + 3)*(0 + 0 - 2))*(5 - 3 + 3*a - 3) as z + w*a and give z.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7555 - -31d?\nAnswer: -7236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9472658 - -9472658.4642821. Let a = -0.4645 + u. What is a rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -31, 5, -11.\nAnswer: -31, -11, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9738 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 152390.\nAnswer: 761950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -155648, -156915, -158182, -159449, -160716, -161983?\n\"Answer: -1267*s - 154381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - h = 2*m + 12, 2*m + 5*h = -20. Let x = 8 + m. Sort x, -9, -4, 2 in ascending order.\nAnswer: -9, -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.454 from 0.1.\nAnswer: -0.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*w - 175 = 0, -4*y + 3*w - 5*w + 706 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(240)*-2)\/sqrt(12))\/(3*sqrt(160) + 1*(sqrt(30)\/sqrt(3) - sqrt(10))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10859 at most -10864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 87*k**2. Let j(u) = 10*u**2 + 4*u. Let g be (-1 - 0)*3*45\/27. Let w(n) = 12*n**2 + 5*n. Let d(b) = g*j(b) + 4*w(b). Give l(d(c)).\nAnswer: 348*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3298*n - 75688 = -299952 for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 0*h - 5*h - 6*h as m*h + j and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 3*h)*(-1 + 0 + 0 + (1 + 1 - 1)*(2 - 3 + 2) + 3 + 1 - 2 - 3 - 2 + 1).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.6 and -3.6374?\nAnswer: 7.2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 301?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-588)\/(-9))\/((-1)\/3). Let d(f) = 2*f**3 - 7*f**2 + 6. Let o be d(3). List the prime factors of o\/(-2)*y\/(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133061?\nAnswer: 271, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2406554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 5, 0.01 in decreasing order.\nAnswer: 5, 0.21, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*v + 152*v = 564. Let a = v - -114. Suppose 0 = 2*w - p - 242, -5*p = 4*w - 268 - 202. What is the greatest common divisor of a and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 1337305.6075345?\nAnswer: -1337305.5975345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278781 is divided by 135.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6283 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.698 * 118\nAnswer: 200.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {y: 2, h: 12, j: 5}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2301908 and 1379.\nAnswer: 453475876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 4. Let k(l) = l**2 - l - 2. Let y(g) = 6*h(g) - 12*k(g). Let c(t) be the first derivative of -t**3\/3 - 21. Determine c(y(s)).\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 161112141874919 + 0.6\nAnswer: 161112141874919.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6062 + -6062.06. Let v = 3 - 3.1. Which is the nearest to -1? (a) v (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*l - 1012060 + 403520, 811385 = 4*j + 5*l. Round j to the nearest 1000.\nAnswer: 203000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b13f (base 16) in base 11?\nAnswer: -1a0053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-27)*3*-3. Let w be (112\/64)\/(h\/(-4)). Suppose 0 = -n + 11 + w. Calculate the least common multiple of 12 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 + -252?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (70\/21)\/((-2)\/(-27)). Suppose 5*q = q. Suppose 0*k - 3*k + 29 = -2*m, -4*m - 4 = q. Calculate the highest common divisor of s and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44820 divided by -8964?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-6) + 0)\/(7\/(-63)). Is (-46*(-6)\/c)\/((-1)\/22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -410298 - -608245. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-5)\/20*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = 5*r - 30, -4*h + 2*r + 18 = 0. Suppose h + 1 = 2*l. Suppose 0*n - l*n = -30. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2382890 is divided by 13934?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1508 less than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 891*f - 438*f = 439*f + 449876. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35382.\nAnswer: 2, 3, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 10, s: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 819.656945.\nAnswer: 816.656945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggm when four letters picked without replacement from {x: 2, g: 2, s: 1, m: 1, n: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/181 - -10309\/362. Which is smaller: z or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3283990490, 3283990491, 3283990492, 3283990493?\nAnswer: 3283990494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 11*l + 54 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20591.\nAnswer: 59, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55624733 smaller than 55624730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 59. Let j(h) = 2*h**2 - 12*h + 11. Let p be j(k). Suppose 69 = 4*z - p. Solve z = 5*n - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 - 2*q + 2. Suppose -5*b = -5*j - 55, -4*j - 46 = -5*b + 3*b. Let i be (-7)\/(-4) - 3\/j. Let w be g(i). Put -5, w, 0 in decreasing order.\nAnswer: w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050578 is divided by 706?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 0.1, -2\/25, -7, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 60. Suppose q = -4*q + b. Let t = -2 + q. Solve -4*c = 3*f + 6, 2*c + f + t = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 + 3*o**2 + o - 2*o**2)*(2*o - 10*o - 13*o) in the form x*o + a + i*o**2 + v*o**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**5\/120 - b**3\/3 - 2. Let s(a) be the third derivative of i(a). List the prime factors of s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6870811?\nAnswer: 6870811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.041 + -0.0409971. What is i rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5440354?\nAnswer: 2, 317, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 4820\nAnswer: -19280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/(6\/(-9) + -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*1\/15*-1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -38) + (2 - -2) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/5 in -3, 1\/3, 0, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -63133 divided by -11\nAnswer: 63133\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h**3 + 7*h**2 - 6*h**2 - 18*h**3.\nAnswer: -69*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -1\/2*m**4 + 8\/5*m**5 - 119 + 0*m**2 - 31*m + 0*m**3. Differentiate w(c) wrt c.\nAnswer: 32*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-39)*(-1521)\/2223?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 e, and 1 m when three letters picked without replacement from tuummtuemctemt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 19*q**2 + 122*q - 6. What is the tens digit of g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -52 (b) 2\/13 (c) -1\/97 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0093184 and 0.04?\nAnswer: 0.000372736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 5*l - 2 + 3*l. What is d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/5))**(-32)\/(d**(-4\/13)\/d*d*d*d**(-1\/25)\/d*d))**(3\/4) assuming d is positive.\nAnswer: d**(-4839\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5, 1.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {g: 3, q: 3, x: 1, n: 6}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.02391 to one decimal place.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 + -140. Suppose 5*z - h*k = k + 5426, 5*k - 5450 = -5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 47. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500288802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, a: 1, o: 2, v: 5, y: 3}. What is prob of picking 1 o and 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*u - 7*p - 7, -3*u + 11 = p. Let w = -34 + 71. Suppose -u*g = -w - 23. Calculate the lowest common multiple of g and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65937064.\nAnswer: 2, 647, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*s**3 + 76*s**2 - 5*s.\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -4158255.2?\nAnswer: -4158254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 12*l - 1. Let c be f(-12). Let s = -37 + 25. Let u be 0\/s*(c - 0). Solve u = 5*y + 1 - 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179170 times 0.1\nAnswer: -17917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 10, 5*d = d + 5*r + 382. Suppose 0*w + 5*w - d = 3*q, q + 17 = w. What is the highest common factor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*s - 1. Suppose s*c = -c + 84. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*j + 84, 0 = -4*o - 4*j - 38 + 150. Suppose -43*q + o*q = -2794. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 28 - 63 - 4946*i + 27836*i + 3*i**2.\nAnswer: 3*i**2 + 22890*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -1 (c) -0.2 (d) 152 (e) -0.1 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 13) to base 4.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145 and 1044.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296106061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((3*sqrt(891) + sqrt(891))*-2 - sqrt(1100)*3*-3) + 2)**2.\nAnswer: -108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 4*w. Let k(b) = 4*b**2 + 9*b. Let o(c) = 4*k(c) + 9*s(c). Let p(a) = -2*a + 2. Give o(p(j)).\nAnswer: -8*j**2 + 16*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 - 10 - 1 + 42*h**2 - 4 + 2 with respect to h.\nAnswer: 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.307664 millimeters in centimeters?\nAnswer: 0.6307664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-71406.\nAnswer: 7140.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(8\/(-2))*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 3*c + 587, 0 = -4*b + c + 1179. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {v: 2, f: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i. Determine v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 + 2*l. Determine c(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11905 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 27597\/3385?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 0.3 (c) -1183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 5) to base 9.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {t: 8, q: 4, r: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4148 by -1.\nAnswer: -4148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 - 21 = -4*a, -3*l + 3*a - 9 = 0. Does 7 divide 10 + (l\/1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -586950*r**4 + r**2 - 42*r - 164?\nAnswer: -14086800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 198*a + 7. Let v be d(6). Let g = v - 614. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**5 + 18*q**4 - 5*q**3 + 4*q**2 - 16*q + 11. Let f(d) = -2*d**4 + d**3 + d - 1. Let t(i) = 33*f(i) + 3*g(i). Solve t(c) = 0 for c.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 12*m**2 - 7*m - 88. Let l be o(-12). Sort l, 4, -40 in descending order.\nAnswer: 4, l, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 12 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10*s + 71. Give p(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 15*t**2 - t + 22. Calculate l(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 0*g - 8*g**2 + 2*g. Let a be r(3). Let o = 123\/2 + a. Do -3 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -580216727*k**4 - 523207*k**2 - 2*k.\nAnswer: -13925201448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10892 by 1556.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*g**2 - 29*g**2 - 14*g**2 - 1 + (-2*g - 2*g + 3*g)*(-3*g + 3*g - 2*g))*(-10*g + 10 - 10)*(-5 - 6 + 1) to m*g**2 + z + r*g + u*g**3 and give u.\nAnswer: -11300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (2 + -4)) + 6 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -5, 15, 24, 2 in ascending order.\nAnswer: -5, -3, 2, 7, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 9\/7. Let f(o) = o**3 + o**2 - o. Let b(v) = 5*v**3 + 8*v**2 - 7*v + 3. Let d(a) = s*b(a) + 4*f(a). Suppose -4*x = 10 + 10. Give d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = 3*m, m - 3*m - 4*s + 6 = 0. Let t(z) = 41*z - 19. What is the hundreds digit of t(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i - 37. Let d be k(4). Suppose p = -3*b + 26 + 6, -2*b = -5*p - 10. Suppose -30 = 5*s + 5*o, -2*s - b = d*s + o. Put 6, -5, s in decreasing order.\nAnswer: 6, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10879 + -348055\/32. Find the common denominator of 65\/3 and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a - 4. Let n be (-117)\/26 + 1\/2. What is o(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**3 + 20 - 20 - 9*f**3.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115337\/2859 - 8\/953. Suppose -1312 = 324*x - 356*x. Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -4*d - 2*r + 5*r, -2*d + 77 = -5*r. Calculate the greatest common divisor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = -10*a + 1382. Let h = a - 81. Solve -3*t + h = -7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 2. Let m be r(0). Suppose -4*l + m*l - 12 = 0. Let d(t) = -7*t - t**3 - 6 + 2*t**3 + 7*t**2 - 2*t**2. Calculate d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**2 + 53*u + 52. Determine l(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6359503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967940973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 - 7*s - 8. Let g be d(-6). Let r = g - -2. Suppose r*n + 2*n = 24. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390270 divided by 6?\nAnswer: 65045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11959 - 11959 - 16*n**2.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/2 + 3\/6. Let x be (-5)\/(n\/6) - -9. Suppose x = 5*w - 79. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5)*(s**0\/s)\/s)**(-2\/145)*s\/s**(1\/5)*s**(-4\/5)*(s**(1\/3)\/s)**(20\/7) assuming s is positive.\nAnswer: s**(-28412\/15225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217760 - -217762. Let -2\/5*w**v + 2\/5*w**3 + 8\/5 - 8\/5*w = 0. What is w?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -11*p**4\/4 + 5*p**3\/3 + p**2 - 5*p - 6. Let q(a) = 5*a**3 - 2*a**2 - a + 2. Calculate 2*g(d) + 5*q(d).\nAnswer: 3*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14384)\/9765 - (-4)\/90.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 27 = 0. Suppose z*h + h = 2*h. Suppose c + 3*g - 19 = -3*c, -5*g = -3*c + 7. Solve h = p - c, -i - 4*p = -7 - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(((n*n*n\/(n\/((n\/(n\/(n*n**(-3\/11))))\/n))*n*n)\/n)\/n)))\/n)\/n**(-4\/3)*(n*n\/(n\/(n\/n**1)))**(-1\/11))**(4\/25) assuming n is positive.\nAnswer: n**(52\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*c + c + 55 = 0, 2*t + 2*c + 56 = 0. Is (4 - 1) + (-2 - t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 1)*(-4 + 3 - 4)*((-33 + 11*t + 33)*(-3 + 0 + 1) - 2*t - t - t).\nAnswer: 650*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-8))\/((-54)\/8). What is the closest to -1 in -2\/13, v, 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n + 81*n = 38*n. Which is the nearest to -0.1? (a) 0.01 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -719966 > -719968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, 4, 1, -5, 153, -4 in descending order.\nAnswer: 153, 14, 4, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) -0.8 (d) 0.059\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 23036325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1218 + 6248 = 10*u. What are the prime factors of u?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 116*i - 238*i + 116*i. Let j(b) = 16*b**2. Give j(w(q)).\nAnswer: 576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26881 + 0.2.\nAnswer: 26881.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 7*z - 7. Let v be i(-5). Solve -3*l = 2*r + 4, -2*r + v*l + 20 = -0*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*1)\/(6\/16). Suppose 0*s - s + g = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 145*a - 3373. What is k(20)?\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/432 and -12.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 11961*s**2 - 264231*s + 1455267.\nAnswer: 3*(s - 11)**2*(s + 4009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -580, -654, -738, -838, -960?\n\"Answer: -u**3 + u**2 - 70*u - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10604177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6140 is divided by 1226?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -119. What is the remainder when (17 - (10 + 4)) + (-14)\/(-1) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r - 30*r + 53*r**3 + 91*r - 31*r.\nAnswer: 53*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120345 + -120199.903. Let a = 145 - m. Round a to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 8. What is the remainder when 0 - 0 - (-4 - (-1)\/(-1)) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:12 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -637105\/3 at least as big as -212369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 10*c + 795. Let i = c - -405. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14120?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + -740\/7. Is 10 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4882 - 0.4882. Put -2, -0.5, -2\/15, g, 3\/2 in descending order.\nAnswer: 3\/2, g, -2\/15, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -5*x**7\/42 - 2*x**6\/3 - 5*x**5\/4 - 5*x**4\/6 + 116*x. Factor k(r).\nAnswer: -5*r**2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434883870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.019 - -0.981. Which is the closest to r? (a) -0.03 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkikekkiekkkkei. Give prob of picking 1 e, 1 k, and 1 i.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from sqtyk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3990 and 16537980.\nAnswer: 115765860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 391 by -6.\nAnswer: -391\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c**2 + 3*c + 8. Suppose 4 = -4*b - 4*n, b - 7*n = -2*n + 23. Suppose -7 = b*x + 2. Is z(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 16*g**2 - 17*g + 3. Calculate the lowest common multiple of (16\/10)\/((-8)\/20) + 11 and s(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**2 + 27*j - 27*j)*(-6 - 1 + 5)*(-4*j**3 + 1 - 1).\nAnswer: -88*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 2 + 1 + 1390 + -1391.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwlllmammwllmll. What is prob of sequence la?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*r + 1131 - 1835 = -9254 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 70*f**2 - 59*f + 688. Determine k(-69).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -361 or 2742008?\nAnswer: 2742008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1525 + 2166. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327526\/5 at least 265504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-207)\/345*(-15)\/9)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 9*y + 10. Let i = -4818 - -4822. Let r(f) = -f**2 + 5*f - 5. Determine i*n(h) + 7*r(h).\nAnswer: h**2 - h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 11*o - 3. What is the remainder when 122 is divided by w(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -964*f - 2428*f - 1586 + 790 + 796 to the form d*f + b and give d.\nAnswer: -3392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - 3*h + 26 = 0, 2*v + 3*h - 16 = 0. Suppose p = -1 - 3. Let i be 13\/(-11) + 548\/3014. Sort 3, i, p, v in ascending order.\nAnswer: p, i, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose -5*f + 20 = -5*c, c = -2*f + 4*f - 7. Suppose -2*r + f = -r. Solve -p - r = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412 - -131?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 6*p - 4, 2*r + 3*p = 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 0 + 6)*(-50)\/15. Let q be -2*1*245\/o. Calculate the highest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 s when three letters picked without replacement from {s: 1, q: 4, m: 2, y: 1, a: 7}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l. Let w(t) = -3208*t - 3409*t + 6297*t. What is w(a(h))?\nAnswer: -320*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35433511.\nAnswer: 2339, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + 2\/(-6). Let i be (2 - v) + -1 + 3. Solve -c + 12 = 3*w - 7*w, -2*w - 6 = -i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 189 = -0*h - 5*h, -4*f = 2*h - 182. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.4 - 5.4. Let g = -21 - -37. Let x = t - g. Which is the nearest to x? (a) 1\/7 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:20 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*r + 20. Suppose -u + 3*u - 168 = -2*i, 4*i - 331 = -r*u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:28 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 545726381 to the power of 1\/3, to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q**2 - 5*q + 45. Is o(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(252))\/(-2*(sqrt(324) + 2*sqrt(324) - sqrt(324))) + -5 + -3.\nAnswer: -8 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let c(o) = -8*o + 149. Determine -c(p) - 6*u(p).\nAnswer: 2*p - 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 1914?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 0. Suppose z - 7 - 7 = a. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from bjjblbslbbvlf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h + 932*h**2 + 2852*h**2 + 24*h + 4095*h**2.\nAnswer: 7879*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 7. Let p be (0 - 0) + u + -1082183. Let r = 562178 + p. What is r rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 7737845.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 6468828936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217786437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t - 8. Let i(n) = n + 1. Let a(b) = b**3 - 5*b**2 + 3*b + 5. Let d be a(4). Let g(f) = d*m(f) + 6*i(f). What are the prime factors of g(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g + 41. Let z be c(5). Find the third derivative of 18*u**2 + u - u**6 + 2*u**6 - 2*u**z - 3*u**3 - 19*u**2 wrt u.\nAnswer: -120*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003.534 days to nanoseconds.\nAnswer: 86705337600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h = -2*q + 71*h + 9134, -h = 4*q - 18250. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 33 (b) 0.1 (c) -0.4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (35\/(-63))\/(2\/(-18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5)*-4) + -1*sqrt(75) + sqrt(75) + -3.\nAnswer: -3 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57759*h**2*w + 226*h**2 - 4128*w + 577280 wrt w.\nAnswer: 57759*h**2 - 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -5. Let r be 2 + 0 + -3 - (-1 + 88). Let x = 91 + r. Solve 2*k - h = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1764)*-2 + sqrt(1764))\/(sqrt(175)*1*-3).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324*r**4 + 39*r**3 + r**2 - 1131*r + 1.\nAnswer: 7776*r + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 - (138 - 259 - -153)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Solve 25 = -c*r - 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 144?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 5*q**2 + q - 6. Give n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -7, 41.\nAnswer: -14, -7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*t**3 + 354*t**2 - 12059 wrt t.\nAnswer: -51*t**2 + 708*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*g + 5*r + 348, -2*g = 4*r + 246. Put g, 0, 4 in descending order.\nAnswer: 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27751, 4, 113 in increasing order.\nAnswer: 4, 113, 27751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.200385. What is c rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 8 - 18. Suppose 3*j + 4 + 71 = w, -s*w - 3*j + 303 = 0. What is the greatest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246826331.\nAnswer: 139, 1775729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, s: 3, f: 2, n: 3, w: 2, a: 2}. What is prob of sequence ffw?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:36 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z**2 - 1\/2*z**4 - 4*z + 0*z**3 + 8. Let v(d) = -2*d**3 - 5. Let x = -9 - -14. Give x*p(b) - 4*v(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 447031\/6 + -5767051\/78. Let k = 569 - m. Let i = k + -41\/39. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*k**3 - 46393*h**3*k**2 + 156936*h**3 with respect to k.\nAnswer: -3*h**3*k**2 - 92786*h**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 7*g - 2. Let l be n(6). Let w(f) = 2*f + l*f + 2 - 1 - 3*f. Give w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/20 + 11*v**4\/12 + 7*v**2\/2 - 3338*v + 2. Calculate g(-12).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649657787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -158\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67439, 67438, 67437?\n\"Answer: -y + 67440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, -24, -3 in decreasing order.\nAnswer: 4, 2, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Suppose m - 1 = o + p, 2*o - 5*m = -3. Let j = o - -6. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -4*h + 11*x + 43, 5*h - 75 = 2*x. Let -10*t**2 - h + 17*t**2 - 11*t**2 - 13 + 26*t = 0. What is t?\nAnswer: 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.5 times 14.19?\nAnswer: -248.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4 + -3 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -782541900 to the nearest one hundred thousand.\nAnswer: -782500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 2*u**2 - u**3 + 0*u - 1\/8*u**4 + 0. Calculate the smallest common multiple of 11 and b(-5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, k: 6}. Give prob of picking 4 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958084677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 20) + (-11 - 23 - -2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -1078?\nAnswer: 106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -14. Suppose 0*b = 4*x - 5*b - 33, 2*b = -2. Let w = p + x. Solve -q + w = -1, -2 = 4*n + 3*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/2)*v**(2\/5)\/v)**16 assuming v is positive.\nAnswer: v**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 8:23 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 611, 615, 619, 623, 627, 631?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c - 88. Let w(s) = 9*s - 88. What is -4*f(o) + 5*w(o)?\nAnswer: -3*o - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.86371 minus -0.1?\nAnswer: -242.76371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/2 + 5*x**4\/6 + 18*x**2. What is the second derivative of f(t) wrt t?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*g**2 + 2*g**4 - 1 - 20*g**2 - 9*g**3 to q*g + s*g**3 + f*g**4 + a*g**2 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 51 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 - 25684*f - 2478*f + 87.\nAnswer: -28162*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2370*v. Let j(t) = 2*t**2 - 182. Calculate s(j(z)).\nAnswer: 4740*z**2 - 431340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -78*q**3 + 4*q**2 + 69*q + 197. Calculate the remainder when x(-4) is divided by 138.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 + 61. Let z = j - -54. Which is the nearest to z? (a) 4 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -519346.6033?\nAnswer: 519345.6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k + 2*k)*(0 + 0 + 1) - 2*k**2 + 2*k - 2*k + (-4 - 3 + 4)*(23 - 5*k - 23)*(-2*k - 2*k + 3*k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 146480*y\/11 - 2682048800\/11.\nAnswer: -2*(y + 36620)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-28)\/42*3\/(-4). Suppose 4*t = -l*g + 10762, 0 = -3*g + 3*t + 13116 + 3027. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -326233 rounded to the nearest one thousand?\nAnswer: -326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1300848653*v. Let d(i) = i. Determine x(d(t)).\nAnswer: 1300848653*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65 - -1) + -1 - (-196 - (-268 - -79)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184164, -368171, -552178?\nAnswer: -736185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, r: 2}. Give prob of picking 2 r and 2 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(1584) - sqrt(176)*-3)\/((sqrt(400) + sqrt(16) + sqrt(16))\/sqrt(4) + 6*(sqrt(4) + (sqrt(4)*3 - sqrt(4)))))**2.\nAnswer: 48*sqrt(11)\/25 + 4084\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = m + 3, 3*z + 11 = -4*m + 22. Suppose -8*c + 4*f = -4*c - 3652020, -m*c - 4*f = -1825980. What is c rounded to the nearest 10000?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360*p**2*t - 5*p + 5*t wrt p.\nAnswer: 720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-10)\/v)\/v)\/(v**10\/v))**(-22))**(3\/20) assuming v is positive.\nAnswer: v**(693\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:08 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 11 - 2159 = 0. Let q = -304 - u. Solve -2*p = -0 + q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-80)\/(-75)*(-42)\/(-28).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32344, -27228, -22112, -16996?\nAnswer: -11880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 16*x**3\/3 - 39*x + 4. Let k(w) = w. What is 2*i(z) - 72*k(z)?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25*-2670\nAnswer: -66750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -448008 - -3?\nAnswer: -448005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 12376?\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 1830 + 1819 - 5446 + 1817.\nAnswer: 3*d + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-7\/5)*m)\/m**(-3\/11))\/((m\/(m*(m*m**(-2\/5))\/m))\/m)**4)**31 assuming m is positive.\nAnswer: m**(1116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*-1*(-51)\/(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-15) + (-2)\/3. Let g = -0.5 + 2.5. Let n = 15 - 11. What is the biggest value in n, f, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52383*r**2 + 10*r + 2140353.\nAnswer: 104766*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1520\/(-80) + 24 + -6 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 15. Let y be p(-5). Solve 9*h + y - 27 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21048 rounded to the nearest one hundred?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321429 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 4. Let s be w(4). Suppose s = q + q. Suppose 5*l - q*z - 55 = 0, 8 + 3 = l + 2*z. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/15 (c) -0.4 (d) 3 (e) 10.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iczssggnn. What is prob of sequence gn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.4 (c) -1\/129 (d) 1\/159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 39*w**3 + 59*w**2 + 24*w.\nAnswer: w*(w + 1)*(w + 8)*(4*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.71128 - 15.7. Round k to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let x(u) = -2*u + 1. Let w(s) = -2*d(s) + x(s). Suppose 0*p = a - 5*p + 13, 4*a = -4*p + 20. What is w(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i + 1 - i - i**2 + 2*i - 2. Let v(x) = 6*x - 15. Let a(l) = 3*l - 7. Let p(f) = 5*a(f) - 2*v(f). What is -5*o(y) - 3*p(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from qmqqmmmqmqqqmqqmmqmq?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**3 + 3*s - 5. Let v = 3124 - 3121. Let h(g) be the first derivative of -12 + 0*g**v - 9*g + 5\/2*g**2 + 7\/4*g**4. Give -3*h(b) + 5*i(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48429452970 plus 0.62?\nAnswer: 48429452970.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/40885 or -1?\nAnswer: 24\/40885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31023\/2 - -15511. What is the smallest value in i, -5, 1, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106803989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 1. Let l be g(-1). Let v(f) = f + 31. What is the tens digit of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 11. What are the prime factors of f(14)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*o**3 + 39 - 135*o**3 - 123*o**3 + 525*o**3 - 131*o**3.\nAnswer: -o**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438396 and 580230?\nAnswer: 19727820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/13 + 36*x**3\/13 + 48*x**2\/13 - 256*x\/13 = 0.\nAnswer: -16, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/5, 32\/3, 1, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -392971?\nAnswer: 392971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*x - 7, -3*o + 0*o + 27 = 5*x. Let k(i) = i**2 - 1. What is the units digit of k(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -81 - -39 - (-4 - 3) - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35943445, 35943417, 35943387, 35943355, 35943321, 35943285?\n\"Answer: -m**2 - 25*m + 35943471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42 and 7\/2455.\nAnswer: 2455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 347164133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 16 = 4*t - 30. Solve 4*m = 4*w, -24 + t = -2*w - m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19*l**2 - 38*l - 4. Let k(u) = 18*u**2 + 43*u + 4. Calculate 8*k(m) + 9*s(m).\nAnswer: -27*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 + 56 - 5*j**2 - 122)*(-2*j**2 + j - j) to the form u*j**4 + i + o*j**2 + g*j**3 + l*j and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 3)\/(-2) - 0. Solve 1 - 3 = b*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-623*o - 1 - 4067*o + 1 - 11710*o - 9580*o)*(-1 + 4 - 2).\nAnswer: -25980*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let o be (2\/(-4))\/(8\/6). Let m = 0.44 + -0.04. Which is the nearest to l? (a) m (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 0 + 0)*-5 - (sqrt(288) + -4*(sqrt(288)*2)**2 + sqrt(288))*4) + 4.\nAnswer: -156*sqrt(2) + 18436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biabkii. What is prob of sequence bka?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -31900 greater than -31897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 + (-60)\/(-4). Let k be (-1)\/(((-12)\/a)\/3). Factor 6*z**4 + z**2 - 2 + 2*z**5 - z**2 - 6*z - k*z**2 + 4*z**3.\nAnswer: 2*(z - 1)*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let t = -199 + 237. Suppose 2*n - w - 38 = k*w, -2*w = 2*n - t. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7687 - -23283. List the prime factors of b.\nAnswer: 2, 5, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 - 37. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12*w**3 - 9*w**2 + 6*w + 6. Let f(v) = -12*v**3 + 9*v**2 - 7*v - 7. Let s(q) = 6*f(q) + 7*i(q). What is the third derivative of s(j) wrt j?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(684)*2 - sqrt(684)))*3)**2.\nAnswer: -216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6110*l**2 + 6426 wrt l?\nAnswer: -12220*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/24 + w**2 - 2. Let d(p) be the second derivative of q(p). Let b(g) = g. What is -2*b(a) - 3*d(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 3 + 3 + (125 - 29*j**2 - 125)*(2*j - 5*j + j + (2*j + 4 - 4)*(0 - 2 - 6)) as q*j**3 + g*j + n + f*j**2 and give q.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6401031km in nanometers?\nAnswer: 640103100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1573 and 26499?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*((sqrt(51) + (sqrt(51) - -2*sqrt(51)))\/sqrt(3) + 2) - ((sqrt(2448)*-2 + 0 - sqrt(2448)) + -1)).\nAnswer: -5 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7177 (base 9) in base 10?\nAnswer: 5254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -16. Let f = 2 + -4. Let l = f + 6. Put m, 1\/2, l in decreasing order.\nAnswer: m, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + -8. Let k = x - -40. Suppose -2*m + m + 5*p = -11, 4*p = -k. Solve 0 = -h + 2*h + m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 - 0.0039827\nAnswer: -0.3139827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24010192, -48020382, -72030572, -96040762, -120050952, -144061142?\n\"Answer: -24010190*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 0*x + 42. Suppose 2*u + x*j - 290 = 2*j, -4*u + 5*j + 645 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.1? (a) -0.1 (b) 1\/2 (c) -192.997\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 1. Let c(p) = -42*p - 110. What is h(c(u))?\nAnswer: -84*u - 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 2, -3, 3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = s. Which is smaller: s or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(21) - (sqrt(1344)*2 + sqrt(1344)))\/(sqrt(700)*-1).\nAnswer: -46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(-6020)\/(-168)*288\/(-960)?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -216 * -0.3\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 0)\/((-3)\/(-135))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 24*f**2 - 23*f - 53. Let r be l(25). Let v be (-4)\/(r - -2)*1 + 4. Solve 0 = -3*h - v - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 1660, 2449, 3230, 4003, 4768?\nAnswer: 5525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*w**2 - w**2 - 2*w**2 - 18*w**2 + 108 - 2*w**2 as l*w**2 + x + a*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + -22.6. Let f = a - -21.0000013. Round f to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-10)\/4*66. Suppose 6*b - w = -13. Let v = 30 - b. Solve -v*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1 + 0 + 4*t - 3*t - 2. What is the units digit of n(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31428 is divided by 388.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/280, 4 in ascending order.\nAnswer: 1\/280, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292227654 and 408.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 - 7*g + 2. List the prime factors of d(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {w: 2, i: 6, l: 1, c: 5, v: 5}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6495 divided by 2?\nAnswer: 6495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Suppose 6 - 1 = w + 3*q, -j = -5*w - 4*q. Let s = w - 1. Is -3 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335010471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822368519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryyyyyyyyryrr. What is prob of sequence ry?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6890188, -6890195, -6890202, -6890209, -6890216?\n\"Answer: -7*i - 6890181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -20207?\nAnswer: -20212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -19. Let t(z) = 3*z**2 + 11*z + 4. Let f(j) = -2*j**2 - 6*j - 2. Let y(l) = -5*f(l) - 3*t(l). What is the remainder when p is divided by y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 - 17980*r + 89902\/5.\nAnswer: -2*(r - 1)*(r + 44951)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*s - 58319, -4*w - 19*s = -17*s + 77754. Let q = -10938 - w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/180 + 3\/(45\/2). Factor h + 1\/2*z + 1\/2*z**2.\nAnswer: z*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -7 - (-32 - 28 - -4).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.52749 - 4?\nAnswer: 5.52749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*m = -156*m. Which is smaller: 1\/476 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j + 1. Let z be d(0). Let l(g) = -g + 1. Let q(c) = 5*c - 3. Give z*q(s) + 6*l(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -d + 29, o = 5*d - 10 - 15. Let r(w) = 13*w**3 - w**2 + 4*w. Let k(q) = -6*q**3 + q**2 - 2*q. Determine o*k(x) - 3*r(x).\nAnswer: -9*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 97*c**2 - 83*c - 17194. Calculate n(-96).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.38 - 16. Let p = 7.91 + x. Round p to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 27*o**2 - 6*o + 1323. What is f(-29)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 284*o + 3*o**3 - 3*o**4 - o**3 - 283*o - o**2 to the form b*o + y + k*o**2 + s*o**3 + j*o**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, c: 1, z: 3, r: 2, p: 2, s: 2}. Give prob of picking 1 p, 1 a, and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -3*x, 37*x + 6*s = 39*x + 24. Suppose 3\/5*p + x - 3\/5*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19996.\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 65*d**3 + 3 + 61*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8642, 8639, 8636, 8633, 8630?\nAnswer: 8627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61, 18\/11, -6?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2139817, -2139810, -2139803, -2139796, -2139789, -2139782?\n\"Answer: 7*q - 2139824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-15))\/(6\/(-20)). Suppose -2*u + 4*u - 16 = -o*w, 4*u + 4*w - 24 = 0. Let l = u - 2. Solve -4*p - l*d = 18 + 2, 3*p - 3*d = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 0) + (-357 - -353).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 3085*l + 3080.\nAnswer: 5*(l + 1)*(l + 616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 5:10 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -101 (c) 1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 8*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 285, 399, 513?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -597, -38, -1, -3, 0, -4.\nAnswer: -597, -38, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) 0.3 (c) -64\/122345\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 105. Let m(b) = -2*b + 6. Let x be m(9). Let y = 27 + x. Calculate the remainder when v is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 22. Find the first derivative of 0 - 12*p**g + 6 + 3*p**4 wrt p.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3*-1)\/((-3)\/78) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z - 3. Let g = -997 + 999. Let h(w) = w + 1. Give g*n(a) + 6*h(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -104, -129, -118, -59, 60, 251?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-3\/26)*q**(-1\/33)*q assuming q is positive.\nAnswer: q**(2449\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 2*v - 4*v - v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82.8 + 89. Let j = f - -0.1. Let c = -2.1 + j. Round c to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1423.6545 * -0.11\nAnswer: -156.601995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*k - 19*k - 8. Let z(p) be the third derivative of -1\/30*p**5 + 0*p + 1\/6*p**4 + 0 - 2*p**k - 1\/3*p**3. Suppose z(q) = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y - y + 21 - 83*y**2 + 85*y**2 + 6*y - 22. Let q(v) = 2*v**2 - v - 1. Let t be q(-1). What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359 - 579 = 172*t + 126 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0.1 (c) -0.11 (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4140*j*u**3 + 51*j*u - 8*j wrt u?\nAnswer: 24840*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6573 (base 11) to base 3.\nAnswer: 21212201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/i)**(-10) assuming i is positive.\nAnswer: i**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let p(m) = 4*m - 7. Determine 6*c(w) - p(w).\nAnswer: 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 7. Let v be k(3). Suppose v*u + 122 = 4*u + 4*a, -333 = -5*u + 4*a. Calculate the greatest common factor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -538 - -10237\/19. Is f greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157469 + 265576. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -3 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let a = 0.86 - 1. Let n = a + 0.14. What is the closest to n in 0.1, 4, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 minutes before 3:20 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(99) + (sqrt(891) + sqrt(891)*-1 + sqrt(891) + sqrt(891))**2.\nAnswer: 3*sqrt(11) + 3566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059927?\nAnswer: 2059927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 prob of picking 1 p and 2 r when three letters picked without replacement from {s: 8, m: 4, p: 2, r: 5}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 2\/7 (c) -0.1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.95\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Let x = -47336.2 + 47336.168. Which is the fourth smallest value? (a) x (b) 0 (c) h (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 - 6 - -5 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 186*t**2 - 18*t - 104. Is s(-7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:22 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-50))\/(4\/((-320)\/24))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-3) - (-1)\/(2\/6). Suppose 0 = 5*j - m - 160, 3*m = -z*j - 3*j + 78. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*y = 21, o = -4*y - 0 + 7. Suppose 60 = o*c - 2*c. Solve -4*a - c = 4*w, a = -5*w - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735822 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**3 + 8*z**2 + 16*z. Let i(l) = -4*l**3 - 5*l**2 - 7*l. What is -9*i(b) - 4*n(b)?\nAnswer: 4*b**3 + 13*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a597 - -1a4?\nAnswer: -4a3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.0784892s?\nAnswer: 0.01797482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.600656 - 48762477\nAnswer: -48762470.399344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 23697400 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67379 + -67379.4. Let r = -145\/4 + 37. Let b = -0.36 + -2.64. Sort -2, r, s, b.\nAnswer: b, -2, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9 - -182989855114?\nAnswer: 182989855097.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1073632 or 1073990?\nAnswer: 1073990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 5*n**2 - 147*n - 1045. Calculate y(-5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/15? (a) 0 (b) -51 (c) 46\/11 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26582.\nAnswer: 2, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - i = 3*i + 134, j = 4*i + 30. Solve -4*y - 6 = -j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.5 + 6. Let n = t - -1. Let x = -41\/21 - -16\/7. What is the nearest to x in 2, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 40 = j, 0 = -3*a - 7*j + 2*j + 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1223 <= 1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -509*d + 522*d - 8385. Calculate the remainder when d is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27891130 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029014 + -23163052.\nAnswer: -23163051.970986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -88 in descending order.\nAnswer: 0, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 89 (c) 0.2 (d) 2\/15 (e) 4 (f) -2902\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -45231?\nAnswer: 45240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2)\/((4\/2)\/(-6)). Suppose 2 = -2*m - l*t - 5, 0 = m + 4*t + 11. Differentiate 5 + m - 22 + 13*n**4 wrt n.\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 22*q**2 - 31*q + 50. Let z be a(-9). Let v(p) = -15*p + 15. Let b(g) = 7*g - 7. Give z*b(i) + 2*v(i).\nAnswer: 5*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72177237 and 9558.\nAnswer: 144354474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 41*k - 5. Let f(o) = 6*o**2 - 2*o. Let m be f(1). What is the units digit of p(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by -162.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115*4 - (-37 - -31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 5*h)*(-3 + 3 + h)*(8*h**2 + 4*h - 4*h).\nAnswer: -40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 45535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 5*a - a)*(35 + 11 - 6)*(-7*a**2 + 3*a**4 + 7*a**2).\nAnswer: -480*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3520)*-1)\/(sqrt(66)\/((sqrt(48)\/sqrt(4))\/sqrt(2))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1953 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t - 2. Let s(h) = 7*h - 2. Let v be (-112)\/18 - (-10)\/45. Let l be v\/9 + 32\/(-6). Let x(d) = l*s(d) + 5*j(d). What is x(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3004 + -2999. What is the smallest common multiple of 266 and g?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**3 - 7*c**2 + 7*c + 7. Let t(y) = 3*y + 0*y - 4 + 4*y**2 + 0*y - 5*y**3 - 7*y. What is 7*t(w) + 4*v(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134624 - -3?\nAnswer: 134627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*((-44)\/(-32) + (-15)\/40))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*2.6\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(18)\/(sqrt(6) - sqrt(6)*-1).\nAnswer: -3 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1201 (base 4) to base 10\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (-2*((sqrt(475) + 1 - sqrt(475)) + -1) - ((-1 + sqrt(475))*3 - sqrt(475) - (0 + sqrt(475) + 1)))**2).\nAnswer: -40*sqrt(19) + 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*k - 39, 5*k - 35 = -4*f - f. Find the first derivative of k - 7*h + 60*h + 17*h wrt h.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-55)\/(-20)*(-11)\/(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 192206\/210729 - -2\/11091. Let q = p + -1256\/627. Let v = -5 - -4. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -104, -150, -196?\n\"Answer: -46*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17152, 17167, 17180, 17191, 17200, 17207?\n\"Answer: -t**2 + 18*t + 17135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 382507541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {d: 2, q: 1, b: 1, e: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 2. Determine a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 5*r - 5. Let y be m(4). Let x = 9073\/11 - 821. Let f = x - 137\/33. Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1177 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 8, 10, 12, 14, 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 23761731.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*s + 27*s + 88*s + (-4 + 6 + 0)*(-1 + 1 - 2*s) + (-s + 2 - 2)*(2 - 4 + 1) to the form p + o*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -31. What is the common denominator of 33\/20 + -1 + 1 and (-498)\/140*3\/(m\/(-10))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.42453128\nAnswer: 0.21226564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*k = -16, -4*n + k = -n - 2. Suppose -2*u = n*w - 22, -5*u + 6 + 42 = 4*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*u = 60, -13*t + 15*t - 7*t + 5*u + 17 = 2 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-166327)\/(-125) + 1 + (-8)\/(-20). Let l = -1332 + c. Let s be (0\/1)\/(1 + 0). Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 3:25 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:28 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5528060?\nAnswer: 2, 5, 17, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 22*u**2. What is the units digit of v(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - -8. Calculate the smallest common multiple of k and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + (8 - 10)) - -18\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891423 rounded to the nearest one thousand?\nAnswer: 2891000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 3, 843, -3, 4?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 35\/(-10))*26. Let p(c) = -2*c**3 + 14*c**2 - 12*c + 2. Let l be p(x). Let d = l + 3071. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-135)*2\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13 - y**3 + y + 2*y**2 + y**2 - 4*y**2 + 13 - 41. Calculate i(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459305.6 millilitres to litres.\nAnswer: 459.3056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/52)\/((-5)\/4)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c + 41. Let p be s(-7). Let m be 1*(-3)\/6*0\/p. Determine r, given that 0*r**4 - 1\/2*r + r**3 - 1\/2*r**5 + 0*r**2 + m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/4 - 3965*z\/2 - 3970.\nAnswer: 5*(z - 1588)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 9221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-25)*3)\/(114\/(-3610))*5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487 - -315. Let n = b + 171.9472. What is n rounded to three decimal places?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*z - 81, -6*l + 4*l + 2*z = -202. What is the highest common divisor of l and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 + 4*s**2 + 17*s**3 - 4*s**2.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 9 + 0 = -5*b + 274, -8*b = 5*j - 451 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 + 1 - (26 - 25 - 75). Solve i = 23*m - 52 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 1\/(1\/1). Let u(j) = -1. Suppose -80*p + 84*p - 29 = 3*o, 31*o = p - 340. Let b(z) = z + 4. Give h*u(l) + p*b(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (-4 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 + 11*a**2 - 8*a + 8*a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Let m = 3.7 - h. Let s = m - -0.05. Round s to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101231781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78591619 and 73473?\nAnswer: 235774857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(24) + sqrt(44)\/sqrt(8))\/(sqrt(1331)*-1 + sqrt(11) + (-2*sqrt(1584) - sqrt(11))).\nAnswer: -sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 146\/(-661672)*-8*(-11)\/(-1)\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 56062080?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 6569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 17 = -8*l - 1, 3*x + 5*l = 18 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7223*r**3 - 7565*r**2 + 348*r - 6. Let h(i) = 36114*i**3 - 37825*i**2 + 1742*i - 31. Let n(y) = -4*h(y) + 22*w(y). Determine a, given that n(a) = 0.\nAnswer: 2\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229*0.8\nAnswer: -183.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*m*m*m\/(m**(-14)*m*m)*m)\/(m**2)**(2\/57) assuming m is positive.\nAnswer: m**(6584\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125501 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/111, -2\/9, -10\/11, 5, 14?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -161a89 + -399?\nAnswer: -162266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108266 is divided by 13532.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 931471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(-3*m + m + 4*m) - m**2 + 32*m + 6 - 32*m.\nAnswer: -5*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 4, v: 3, e: 4}. What is prob of picking 2 m and 2 p?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*u + 3377*g - 3372*g, -3 = -3*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-20)*(0 - -5). Suppose -g*l = -5*m + 116, -m = -2*l - 23 + 4. Let t = 57 - m. Calculate the highest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.19, -24, -49, -3\/2, -0.4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - -5) - (12 + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 5344*o**2 - 42 + 5301*o**2.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4 and -31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1729 - 505 = -18*o. Let x = -68 - o. Let 2\/3*f**4 - 4\/3*f**3 + 0*f + 2\/3*f**2 + x = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-4 + 7 + -2). Let p be 9\/(-390) + (-6)\/h. Let m = p - 1\/13. Which is the nearest to 0.4? (a) 0.5 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(3) - -4*sqrt(3)) + sqrt(3))*1*-6.\nAnswer: 18 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/30*(25\/(-60))\/((-12)\/(-792)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*123\/176 + 2 and (-23 - (-68)\/8)\/(9\/(45\/(-80)))?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-928911)\/(-33) - ((-1793)\/(-121) + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and 21.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-432)*-60)\/((-2)\/(-40)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15d033 (base 15) to base 3.\nAnswer: 1222200010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(16\/3)\/r)\/r*r*r*r**(1\/2))**(21\/2) assuming r is positive.\nAnswer: r**(245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b = -195. Let i(g) = g**3 - 14*g**2 + 7*g - 31. Let f be i(14). Suppose 0 = o - f - 84. What is the remainder when o is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784*h - 134884 = 16756 for h.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12) - (-87)\/18. Solve 0 = 5*d - 0*d - u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = -16 + 100. Let o be 5*(18\/10 + -1). Are z and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -232, -2\/11 in ascending order.\nAnswer: -232, -135, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 93*v - 606. Determine q(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-7\/5)*b*b)\/b))\/(b*b**(-17)) assuming b is positive.\nAnswer: b**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -4046 and -4047 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 832\/201 + -54\/67. Suppose i*d - 1\/3*d**2 - 25\/3 = 0. What is d?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -2, 0, -3\/2, -6, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - k. Let x(q) = 13*q - 9*q**2 - 10*q**2 - 12*q + 20*q**2 - 1. Determine 2*v(s) + 2*x(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-140)*182\/260)\/((-3)\/(-12)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 682\/(-33) + 5*(-8)\/120. Let m(w) = -w**3 - 22*w**2 - 23*w + 4. Calculate m(d).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411341.\nAnswer: 53, 45497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15) + (-24)\/(-80))\/((-7)\/(-182)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 - 105*u**3 + 825*u**2 - 2875*u + 3750 = 0?\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - v = 5*t + 16, -8 = 2*v. Which is smaller: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 548 + -450. Let o = -90 + x. What is the highest common factor of 216 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*l = -538*l + 904. Solve -4*v + 8 = 4*x, 5*x - x - l = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56314.23 grams in kilograms?\nAnswer: 56.31423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 428 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1353*0.4.\nAnswer: 541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 21 = 3*y, -4*i + 5 + 5 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 28 = -2*q, -3*q = 2*n - 0*q - 22. Let m = 13 - 8. Is n != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101247, -101248, -101249?\nAnswer: -101250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235.248 + -0.248. Let m = 234.9999481 - k. Round m to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -63.3. Let p = u - 0.3. Sort 0.1, -3, p.\nAnswer: -3, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 3*n - 12, 2*n - 3*w - 4 = 0. Let l be 0\/((-9)\/(-3)) - 2. Let f = 25 + l. Calculate the remainder when f is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) 17\/5 (c) 1\/9 (d) -30 (e) 21\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*y + 10, 4*y - 4 - 1 = -3*a. Suppose -7*q + 32 = -a*q. Let p be ((-3)\/18)\/(2\/q). Is p < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, s: 2, k: 1, j: 1, v: 3, b: 1}. What is prob of picking 1 v and 1 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + (-2249)\/104 + 10. Sort 2\/13, 5, -0.1, q, -1947 in ascending order.\nAnswer: -1947, -0.1, 2\/13, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = -5*x. Calculate the smallest common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349.9 times 122\nAnswer: -42687.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + (-6)\/10. Let b be (0*1\/4)\/1. Let q be (1 - b)\/((-1)\/3) + 1. Put q, 6, v in descending order.\nAnswer: 6, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/170887 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 + -111. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/6)\/(-11 - (-288)\/27). Solve 4*v = -0*v - 5*k + 11, 0 = 5*v + x*k - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 208. Let n = k - -246. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 9*i**2 - 2*i - 9. What is q(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 244. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/12 and 5\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66235 = 2797*l + 98788 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 531320040 - 1?\nAnswer: 531320035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1671*h + 1196*h - 716*h)*(0 + 0 - h)*(4 - 2 + 4) in the form l*h**2 + b*h + m and give l.\nAnswer: 7146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 5 + 5 + (4 - 6 + 0)*(a + 3*a - a) - 3*a + 3*a + a - 3*a + 4*a + 2*a + 112 - 43*a - 112 to the form l + b*a and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -512*i**5 - 1643072*i**4 + 11320766*i**3 + 1434350*i**2 + 45024*i = 0.\nAnswer: -3216, -1\/16, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/72 and 23\/4458?\nAnswer: 53496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - 2.6.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 10. Suppose -3*l + 228 = 4*k - 0*l, o*k = 4*l + 114. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 934024724 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 96. Solve 0 = 3*d + m - 15, -2*d + w*m + 3 - 7 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -336, -344, -364, -402, -464, -556, -684, -854?\n\"Answer: -x**3 - x - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 4*p + 74. Let x = 38 - 37. Suppose -106 = 4*c - b, 5*b = 5*c + 3*b + 131. Put c, x, p in increasing order.\nAnswer: c, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -126*f + 653. Calculate d(6).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8155537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 9 + 39. Suppose 0*q + 64 = 2*q. Let m = q + z. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/44 - 7\/11. Suppose -4*o - 3*q = 2*q - 20, -4*o - 4*q = -16. Suppose -a - a - 4*h + 10 = o, 2 = h. Are s and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13488, -19, -16.\nAnswer: -13488, -19, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 7 + 7 + (2 - 1 - 3)*(-2 + j + 2))*(24*j + 4*j - 8*j).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhhhzdhzzhzhhhhhh. What is prob of picking 3 z and 1 h?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + -4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 0.4 (c) -3 (d) 15 (e) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmb when three letters picked without replacement from mllbllmlbbmlmllbb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*n + 217967 = 531*n. What is the greatest common factor of n and 1634?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = 4*n. Suppose 4*a - 2*a = 0. Solve -2*z + z + 3*l + 16 = a, 0 = -3*z + n*l + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 11 + -4 + -2 + (-1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-140)\/35 + 3*-5. Sort 4, 0, r.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 940.8659 to the nearest integer.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1208*n**2*o**3*q - n**2*o**2 + n**2*o*q - 2*n*o**2*q + n*o + 77*o**3*q - 3*o**2 wrt n?\nAnswer: 2416*o**3*q - 2*o**2 + 2*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -23*p**2 + 9*p - 7. Let t(x) = 69*x**2 - 25*x + 21. What is -11*k(z) - 4*t(z)?\nAnswer: -23*z**2 + z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 584797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3763)\/4)\/(4\/(-16)). Let g = h + -1763. What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 4. Let c = -2 - -8. Let m = g - c. Solve 0 = -2*y - 2 - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:39 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -2518220 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 738364128 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 611 + -610.5. What is the second biggest value in m, 0.3, -3\/4, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8 + 6*j - 2 + 3*j**2 - 7*j + j + 5*j. Give q(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/22 and 1\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 672*p + 102*p - 82*p - 1048*p**2 + 2102*p**2 - 1047*p**2 to t + f*p**2 + z*p and give z.\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218.52 + 60.52. Sort -5\/18, -0.1, j in increasing order.\nAnswer: j, -5\/18, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**5 + 5*y**4 + 5*y**3\/3 - 15*y**2 - 25. Determine m, given that q(m) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 5*s**2 + 32. Suppose 2*a - 2 = 4*r, 5*r - a - 35 = -6*a. Let g(o) = -2*o - 4*o**r + o + o. Calculate y(g(x)).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.7, 1.071, 3\/7, 3, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17 = -y, k + 4*k = -5*y + 15. What is the second derivative of -31*f + 9*f**k - 16*f + 15*f - 4*f**5 wrt f?\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**5\/30 + a**4\/6 + a**3\/6 + 735*a**2. Determine r(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/12419 (b) 5 (c) -2\/5 (d) 15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:42 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(119) + (-2*sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119))*-4)\/(sqrt(175)*2 - 2*sqrt(7)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270.524 + 270. Let x = -1.14 - t. What is x rounded to two dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 5*v - 1. Let j be o(-6). Suppose j*b = 35 - 5. Solve -b*s + 2*s = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2115840 and 42688.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 211366501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1426*a - 1427*a = -5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7872558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 3034 - 2960 = 0. What is the lowest common multiple of l and 42?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m - 175 = 5*m + 11*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/145 in -4, -1\/3, 1\/6, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2 (c) 1.34 (d) -29 (e) 9\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1966*q + 12889. Give n(7).\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17*p**2 + 6*p - 6. Let y(m) = -35*m**2 - 13*m + 13. Let z(i) = 13*q(i) + 6*y(i). Let l(c) = 2*c**2. Calculate z(l(d)).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41000 - -4042?\nAnswer: -32514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 + 94\/(-96))\/(176\/25696) and -103\/252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.128? (a) 1.9 (b) -0.24 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -20 + -33 - (-15 - (-1 - 1)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4803*i**6 + 23*i**3*l - 14*i**2 - 2830*i*l + 4*i wrt i.\nAnswer: 576360*i**3 + 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 10:42 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*o + 4781*o - 377394 = -2086*o for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*v - 2. Let b(a) = -a**2 - 23*a + 1947. Let z be b(34). Solve -v*f - f + z = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -643 + 652. Solve 11*r = t*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsvl when four letters picked without replacement from sssvlssssvxzxsl.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -387, -3357, -11417, -27111, -52983, -91577, -145437, -217107?\n\"Answer: -424*c**3 - c**2 + c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/2 - (-5 - -6). Let n = i + -7. Solve -1 + 3 = n*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 37*f = 110 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, -5\/6, -112, -7\/9, 4?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2144431434 (base 5) to base 7.\nAnswer: 54556151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:26 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((156 - 2)*90\/63)\/(-4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28488 and 72?\nAnswer: 85464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5 + 4 - 5 - 5 + 4*o in the form s + a*o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 77506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (8\/(-4) - -5). Let r(k) = 3*k**2 - 5*k**2 + 1 - 3*k**2. Give r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 1. Let q be 472\/18 + 2\/(-9). Let p = q + -25. Calculate c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2.6, 13, -3, -0.5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 5.95. Let c = 4564.6839952 - 4558.684. Let a = t - c. What is a rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-13))\/((-9673)\/7397).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 2*w**2 + 2*w + 1. Let v be r(-3). Suppose 3*k - 52 = v*k. Is (-9)\/(-6)*k\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 1, g: 1, q: 1, w: 1, k: 2}. Give prob of picking 1 k, 1 z, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*i - 14, -2*i - 10 + 4 = -4*p. Let m = 0.1033 - -0.6967. What is the nearest to m in 2, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315 (base 9) to base 4.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j**2 - 13*j + 12. Let f(r) = -6*r**2 - r + 2. Determine 4*f(v) - g(v).\nAnswer: -2*v**2 + 9*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w - 2*w + 0*w + (-3 + 7 + 5)*(-2*w - 3*w + 0*w) - 2 + 2 - 2*w.\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*a + 6*w - 4*w, -7 = -2*a + 5*w. Suppose a*v - 11*v = 1365. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 706600026 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - 30\/12. Let w be (y\/(-10))\/((-9)\/18). Put 3, w, -33 in increasing order.\nAnswer: -33, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81482099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -873? (a) -97 (b) 2\/21 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n. Let q(x) = 552*x**2 + 2*x. Determine s(q(o)).\nAnswer: -4968*o**2 - 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -208 - -227. Suppose 2*m - 3*z - 9 = -0, -4*z = -5*m + c. What is the remainder when 12 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 1 + 1)*(14049*c + 14047*c - 28197*c + 7 + 12*c**2) to i*c + h*c**2 + j*c**3 + r and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2. Let j(m) = -102 + 52 + 50 - 2*m. Give k(j(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3885206.\nAnswer: 2, 13, 23, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55245499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 3*h**3 - 68*h**2.\nAnswer: h**2*(h + 4)*(5*h - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 7. Let z be j(-4). What is the remainder when (25\/(-2) - 1)\/(z\/(-8)) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11020251 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8537 or 8543?\nAnswer: 8537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k + 1. What is z(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2. Let p be (-2)\/(-5) - 136\/(-10). Let f(l) = -1 + 1 + p*l - 9*l. Determine f(j(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (211 - 211 - 14*w**2)*(0*w**2 - w**2 - 2*w + w) in the form q + j*w**4 + o*w**3 + n*w**2 + k*w and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7907a7 - -60?\nAnswer: -790747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 30 = 2*l, 73*z = 75*z + l + 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.49125 seconds to nanoseconds.\nAnswer: 51491250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 2\/13 (c) -262 (d) -6 (e) 5.3 (f) 0 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.34527507 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -678837 (base 10) in base 16?\nAnswer: -a5bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 5319985484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.70362535 to one decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a week?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108.4 + 105.196. What is n rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 2965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4392938.1 - -4392938. Suppose 2*y - 7 = 3. Suppose -12 = 3*p + 3*s + 6, 0 = -y*p - 2*s - 15. Which is the third biggest value? (a) t (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k + 3*f - 9, -3*f = -2*k - 9. Let c = -34 - -39. Suppose 0*j - 5*j - c = 0. What is the nearest to k in -2\/3, j, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 24\/56 - (-7 - 0)) + -7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*j + 18 = 0, 0 = 2*f - 0*j - j + 11. Let t be f*((-10)\/4)\/(-5). Let k(w) = -13*w**2 - 61*w + 178. Let c be k(2). Sort -5, c, 0, t.\nAnswer: -5, t, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03609579 rounded to 5 dps?\nAnswer: 0.0361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1412036.\nAnswer: 1412036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12561 divided by -4187.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -669 + 38c7?\nAnswer: 325e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 3*g + 19 - 17)*(g**3 - 2*g + 2*g).\nAnswer: -3*g**4 - 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -283910, -567850, -851788, -1135724?\n\"Answer: b**2 - 283943*b + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 361460876?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 - 6063*i\/8 + 152825\/4.\nAnswer: -(i - 50)*(i + 6113)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**2 - 53*a - 10. Let b(f) = -28*f**2 - 160*f - 28. Let x(k) = -6*b(k) + 20*u(k). Factor x(c).\nAnswer: -4*(c + 8)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/18*12\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -12*u + 11*u. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -95204.218.\nAnswer: -95204.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdk when three letters picked without replacement from jjkkjjkjjjkjddjd?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441 by 1.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*x**6 - 151243*x**4 + 53*x**2 - 110780.\nAnswer: 12960*x**3 - 3629832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 3 - (17 - (13 - (5 - 2))) - 10\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 9 + 6 - (-902 - -860).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687325 by -19.\nAnswer: -36175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56505 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.12 + 1.98. Put -2, 3, n in ascending order.\nAnswer: -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - g - 28, -g = 4*g + 20. Let c = b + -9. What is the closest to -1 in c, 2, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 7 + 4)*(3*k**2 + 3*k**2 - 3*k**2)*(0 - 2*k**2 + 0).\nAnswer: -132*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6500 and 3077100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 2*n + 5. Let m(z) = -z**2 + z + 1. What is -6*m(b) + p(b)?\nAnswer: 9*b**2 - 8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 2 + (99 - 108)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 3. Let n(b) = 3*b**2 - 12*b - 11. Let y be n(5). Suppose -2*x - 20 = -y*d, 17 = -4*d + 4*x + 45. Do c and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 121.65, 3\/5, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6872.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27783, 55397, 83011?\nAnswer: 110625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/(-6))\/((-12)\/(-16)) + 75.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/96*(160\/200)\/(32\/1416)?\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:23 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.046146? (a) -22 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 135, 144, 155, 168?\n\"Answer: c**2 + 6*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1212 and -5\/243.\nAnswer: 98172","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19324.\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:43 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.867343 meters to kilometers.\nAnswer: 0.008867343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((sqrt(567)*3 + -2 - sqrt(567)) + (-2*(sqrt(567) + 0) - sqrt(567)))**2).\nAnswer: 108*sqrt(7) + 1722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 381700159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n, 66*w - 62*w = 4*n + 6752. What is the remainder when w is divided by 154?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7\/346, 3\/5 in ascending order.\nAnswer: 7\/346, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/372955 and -26\/237335?\nAnswer: 2610685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97550561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u**3 - 4*u**3 - u**3)*(0*u - 3*u + u) - u**4 - 29*u**4 - 6*u**4)*(0*u + 3*u - 2*u + 1).\nAnswer: -34*u**5 - 34*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27538 and -3.\nAnswer: -27541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 + 8*m - 5. Determine h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-four fifths of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)*s)**(-14)\/(s*s*(s*(s*s*s\/(s**(-3)*s))\/s*s*s)\/s*s)**(16\/3) assuming s is positive.\nAnswer: s**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6513 + -4794. Calculate the least common multiple of 1719 and h.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 11111?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5 = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49137, 49138, 49139, 49140, 49141?\nAnswer: 49142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-268)\/64*4 - -18.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306622 or 306641?\nAnswer: 306641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**8\/26880 - 47*q**7\/6720 + q**6\/20 - 13*q**5\/12 + q**2 + 103*q. Let f(p) be the third derivative of h(p). Factor f(k).\nAnswer: -3*(k - 1)*(k + 48)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 3. Let k be z(3). Suppose 2*c + 3*h + h = k, 5*h + 9 = -c. Let t = 29 + 3. What is the remainder when t is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q + 476. Calculate the remainder when (q - -1)\/(0 - 2) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*m - 4*m = -606, -1216 = -2*o + 2*m. Suppose -2*v - 2*i = -o, -v + 387 - 102 = -4*i. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2774 (base 14) to base 13\nAnswer: -3227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -909.8003349\nAnswer: -908.8003349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 23, 3\/2, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.775 and 137 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) + 1*sqrt(475))*-5 - 1*(-1 + sqrt(475)))**2 + 3)*-1.\nAnswer: -57479 + 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11790)\/1572)\/((-6)\/(-20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(0 + sqrt(17)) + -2*(sqrt(1377)*-2)**2 + 3.\nAnswer: -11013 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -31738*f + 698310. Give h(22).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 2*r**2 + 2*r**3 + (-r - 2 + 2)*(-r**2 - 2*r**2 + 4*r**2) + 158*r**3 - 1904 + 1904.\nAnswer: 159*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-2)\/(-9) + (-64)\/(-36)). Let m = h - -267. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 1}. What is prob of picking 1 j and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 3*d + 35*d**3 - 2*d.\nAnswer: 35*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/10*1354\/(-14217).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1840*v**5 + 33*v + 109.\nAnswer: 36800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r - 7. Calculate f(7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from quiilulpliulfiifiili?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13970192021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*v + 1363 = -463, -4*z + 5*v + 3654 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n**5 - 9*n**5 + 2*n**5 + (-3*n**3 + 3*n**3 + n**3)*(-n**2 + 2*n**2 - 3*n**2) + 2*n**5 + n**5 - 4*n**5.\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 2. Let n = 1 - -3. Let h be w(n). Let r = -11 + h. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -184*z + 184*z + 3*z**2. Let x(w) = -248*w. What is a(x(h))?\nAnswer: 184512*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15643169.\nAnswer: 15643169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/80)\/(0 + 2\/10). Let x be (s\/(-2) - -26)\/((-3)\/12). Let p = 127 + x. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -50406715 and -50406715 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**5 + 168*f**4 + 2068*f**3 + 6384*f**2 + 5776*f = 0.\nAnswer: -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 9 = 4*i, 2*z = 5*i - 66983 + 66974 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-2)\/(-2))\/(-1). Let f(n) be the first derivative of n**2 - 14*n - 1. Let w be f(11). Solve z*m + 4*m = -w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/13, 515, -9\/7, -0.2 in decreasing order.\nAnswer: 515, 2\/13, -0.2, -0.4, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 0*l + 0*l + (2 - 2*l - 2)*(-4*l**2 + 4*l**2 - 2*l**2) - 344*l**2 - 406*l**3 + 344*l**2.\nAnswer: -403*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545639 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/55)\/(((-24)\/(-6))\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35934015 divided by 184277?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 31. Give c(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.052\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*((-56)\/(-420))\/((-36)\/1485)?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434121 + 434154 + 10*v - 868275 + 14*v - 10*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31)\/3 - (-4)\/(-6). Let r(l) = 6*l**2 + 2. Let h(u) = 29*u**2 + 11. Let d(w) = k*r(w) + 2*h(w). Let m(n) = 2*n. What is d(m(s))?\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 204, 180, 138, 72?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19219 + -19213. Calculate the highest common factor of m and 4698.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from aaeaaoaeeaeaa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 4*t - 28. Let c be (-50 - 0)*182\/(-105). Let z = c + -87. What is the third biggest value in t, -1, z, -1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10611 - -10615. Which is the closest to -5? (a) 9 (b) o (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:46 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-1)\/((-7)\/1227). Let y = t + -176. Which is the second biggest value? (a) y (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times -3.79?\nAnswer: 223.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, 27145, -1 in descending order.\nAnswer: 27145, 134, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 122 - 12053*s - 24.\nAnswer: -12053*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/53)*p*p\/(p**12*p)*p*p*p**(-1\/7)*p**(-12)\/p assuming p is positive.\nAnswer: p**(-8201\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 9:38 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-39)\/3 - (1 + -4). Let n(s) be the second derivative of s**4\/12 + s**3\/6 - 3*s**2 + 2*s - 2. What is the units digit of n(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.04 + -0.04. Let g = m - 5. Let v = g - 2. What is the biggest value in -3, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -19 (b) 1 (c) 4 (d) -5.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 4*p**2 - 3. Let j(q) = -4*q**3 - 7*q**2 - 6. What is -7*d(o) + 4*j(o)?\nAnswer: -2*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 59*w - 239. Determine q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/29))\/((l*l*l**(3\/17)\/l)\/l)*(l\/l**(-15))\/(l\/l**5) assuming l is positive.\nAnswer: l**(10283\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6694?\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861845809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/7 less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*w + 7 = -3, -4*f - 8 = -4*w. Suppose 4*c + s = 37, c - 3 = -3*s - f. What is the remainder when 18 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44003 - -2?\nAnswer: 44010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*u + 113*u - 4*b = -15, -5*u = b + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179049 at least 179052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 12, 0.2, 55, 83 in descending order.\nAnswer: 83, 55, 12, 5, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -465*r + 11. Let t be j(-20). Let o = t - 5262. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v**2 + 2*v + 8. Let b(n) = n**2 + 1. Let z be 1*(3 + -4)*1. Let j = 0 - -8. Let x(c) = j*b(c) + z*i(c). Find the second derivative of x(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s - 232. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 140, 436, 1000, 1922, 3292?\nAnswer: 5200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435970, 871933, 1307874, 1743781, 2179642, 2615445?\nAnswer: 3051178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 4*j + 1. Let y be g(-4). Suppose 3*v - 2*d - y = 7, -2*d - 8 = -5*v. Suppose -5*x + x + 8 = v. Solve 3*w - 17 = -x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-38)))**36 assuming w is positive.\nAnswer: w**1368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699206?\nAnswer: 2, 577, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -23, 4.6, 2\/3, 15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 + 357249*h**3 - 14180522715*h**2 + 187613041407675*h + 375282807764250 = 0.\nAnswer: -2, 39695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 349257?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -84 + 2*u**3 + 0*u**2 - 3*u - 1\/4*u**4 - 7\/5*u**5. Find the third derivative of h(o) wrt o.\nAnswer: -168*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31112140 + 0?\nAnswer: -31112140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-5)\/(-75)*(10 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*l + 47 = 295*l + 68 + 112 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13.373+0.4\nAnswer: -12.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 80*l - 30. Let y(q) = -1. Let b(j) = h(j) - 30*y(j). Let c(m) be the first derivative of m**3\/3 + 3470. Calculate c(b(x)).\nAnswer: 6400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 8*i + 7. Let q = 7 + 8. Suppose n + q = 4*f, -5*n - 4*f + 3*f + 30 = 0. What is the remainder when s(7) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5075*o - 5082*o + o**2 + 1 - 5. Give k(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45847422 and 35659106?\nAnswer: 320931954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in -13, 4, 0.2, -12\/11, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562885538.\nAnswer: 2, 17, 31, 534047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrnlrrqlnacqlrr. Give prob of sequence lcq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12621*w - 12625*w - 1 - 12629*w - 157*w**2 + 37867*w to a*w + n + c*w**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:23 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {k: 1, x: 2, m: 3, w: 1, v: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/6806442 and 49\/12478477?\nAnswer: 74870862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/5)*u*u)**(12\/11)\/((u*(u**(-3)\/u)\/u*u)\/(u\/(u*u\/((u**(-2)*u)\/u)*u))))**(-1))**(-6) assuming u is positive.\nAnswer: u**(606\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2107292141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/90)\/(7\/140). Solve r + 3*u - t + 3 = 0, -u = -4*r + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.66 - -0.36. What is the closest to 2 in g, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80436488800 rounded to the nearest 1000000?\nAnswer: 80436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274020 = 5*m - 11611060. Let l = m + 4532587. Suppose -2*x = -2*z - x - l, -16500005 = 5*z + x. Round z to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2\/23, 2\/7, 2\/45, -0.03, 1\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x + 754. Let k be o(-2). Let p = -1 + 1. Suppose p = 2*q - 2508 + k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 6*b**2 - 3*b + 11. Suppose -14*p + 31 = -25. Calculate the remainder when z(p) is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:00 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1185, -4693, -10541, -18729, -29257, -42125, -57333?\n\"Answer: -1170*i**2 + 2*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 75 + 15. Let w = -18 - v. Is -49 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193887, 379229, 564571, 749913, 935255, 1120597?\nAnswer: 1305939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.13651 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k + 22. Let i(p) = -26*p**2. What is i(l(c))?\nAnswer: -650*c**2 - 5720*c - 12584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v + 4. Let q be v*(-3)\/6*13. Let u = -5 - q. What is the highest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r + 4*f, -3*r + r + 3*f - 3 = 0. Let s be (-8)\/(-2)*-1 + r + 5. Is 2862\/36 - s\/2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*g**2 - 37*g**2 - g**2 + 12*g**2.\nAnswer: -78*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1845241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i + 3. Let p be r(0). Solve -b + p*b - 10 = l, b - 5 = -4*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 2756 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 56*z - 54*z - 2387, w + 3*z = 2393. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8787474, -1, -7 in decreasing order.\nAnswer: 8787474, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 203 + 103 - 445*b.\nAnswer: -445*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 - 23. Let y = d + -125. Let f be (-1)\/3 - (-325)\/3. Calculate the greatest common divisor of y and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 18 - 9 = 5*n, -3*o + 24 = 4*n. Let i = -17 + o. Let b(q) be the first derivative of -q**4\/4 - 2*q**3 - 5*q**2\/2 + 5*q - 1. Calculate b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*s = 5*r + 12, -2*r - 8 = 2*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.57 + -3.47. Let h = z - -0.9. Is 4\/7 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 3014793.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -421*l**3 - 485?\nAnswer: -1263*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 47429701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + -5 + (-1 + (sqrt(891) - -2*sqrt(891)) - (sqrt(891) - (sqrt(891) + 2 + sqrt(891)))*-5))**2.\nAnswer: 396*sqrt(11) + 3682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 20 = 5*r, 2*o = -4*r - 1 - 11. Let b be (-18)\/8 + r\/(-8). Let i(t) = 4*t + 10 - 12 + 0. Determine i(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 91 = -2*a. Solve a = 2*w - 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h)**(-6\/5))**(-31)*((h\/((h**(-4)\/h)\/h))\/h)\/(h*h*(h\/h**(-1\/5))\/h*h)*(h*h**(-1\/5)*h)**(-2\/15) assuming h is positive.\nAnswer: h**(-1796\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3 - 77. What is the second derivative of 5*x + 26*x + 42*x**5 + a*x wrt x?\nAnswer: 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117) + sqrt(117))**2 - ((sqrt(143)*-6)\/sqrt(11) + sqrt(13))) + (0 + sqrt(1872) + -5)*2.\nAnswer: 41*sqrt(13) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97\/15 - -41\/3. What is the common denominator of l and 17\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d**3 - d**2 - 9*d - 1. Let y be m(-2). Is y greater than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, x: 4}. What is prob of picking 4 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3160, -25364, -85626, -202972, -396428, -685020, -1087774, -1623716?\n\"Answer: -3171*t**3 - 3*t**2 + 2*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 28*i - 29*i. Put i, 8, -1 in ascending order.\nAnswer: -1, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 + 4.575. Let r = -5 + j. Let y = -0.6 - r. Which is the third smallest value? (a) -4 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 = -2. Suppose -c*j + 1 = -2*j. Let p(t) = 9*t**3 - 1. List the prime factors of p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310620 divided by -60?\nAnswer: -5177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = -2*k - 2*l, 0 = k - 5*l + 16. Let u = 13 + k. Let c = -21 - -34. Calculate the remainder when c is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 949272231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -20, -22, -24, -26, -28?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1*-13 - (-3 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13081, 26535, 39983, 53425, 66861, 80291, 93715?\n\"Answer: -3*r**2 + 13463*r - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11320 less than -45283\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 505833418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/2 - 11*g**2\/2 + 2*g. Let y be n(14). Suppose y = -2*v + 121. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105703488 divided by 3618\nAnswer: 29216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174 or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s, 0 = -2*n + 4*s. Let c(y) = -2*y - 5. Let a(v) = -v - 2. Let z(q) = 5*a(q) - 2*c(q). Let b be z(n). Solve -6 + b = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 6520.\nAnswer: 26080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.3 and 15.\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -272097*a**3 - 245*a**2 - 49*a + 49. Let w(r) = 17006*r**3 + 15*r**2 + 3*r - 3. What is 3*k(o) + 49*w(o)?\nAnswer: 17003*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-8))\/((324\/(-810))\/(3\/(-570))).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17*u**3 - 8*u - 8. Let n(g) = g**3 - g - 1. Calculate -3*l(d) + 24*n(d).\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q + 141 = -174. Solve -q*g - 2*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 30, 4*z + 5*l + 35 = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/12 - (-2)\/(-4). Let u(a) = a**3 + 9*a**2 + 20*a + 10. Let f be u(-6). What is the closest to 3 in 1\/8, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32823634999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - w**2 - 4*w**2 + (38 - 18 + 25)*(-w - 2*w**2 + w) + 2*w**2 + 3*w - 3*w.\nAnswer: -89*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 - (-105)\/33. Let c(d) = 5*d - w*d + 5 + 4*d. Let s(h) = 5*h + 4. What is -6*c(g) + 7*s(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 23 + 55 = 0. Solve -l*a + 0*a = 3*p + 2, -2*a + p + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 6:09 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f\/(f\/(f*f**(-3))))))**(-2\/39)\/(((f\/(f\/(f**4\/f)))\/f)\/f)**33)**(-2\/17) assuming f is positive.\nAnswer: f**(2570\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.877 + -0.123. Suppose -3*p = 4*r + 395, 4*p - r + 445 = -69. Which is bigger: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576247630 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 10 = -2*o, -5*o - 195 = -y - 184 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h + 216. Give g(20).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/104 + 1\/4. Let j be (0 + 4)*-2 + (9 + -8 - -4). Sort -0.04, -2, k, j.\nAnswer: j, -2, -0.04, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*h + g, -7*g + 2*g = -5*h + 65. Let l be 4\/h - 728\/117. Calculate the common denominator of 3\/l*(-106)\/(-5) and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/11 - 101\/110. Let j = -0.01089 + -2.98911. What is the nearest to v in -0.1, -1\/2, j, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 + -161. Let j(n) = n**3 + 29*n**2 - 2*n - 54. Let s be j(a). Solve -3*p - 12 = 0, 0 = i - 4*p - 12 - s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.93 - -50. Let u = z + -19.1. Which is the second smallest value? (a) 0.2 (b) 4\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(2))**2 + ((sqrt(72)\/sqrt(6))\/sqrt(6))**2.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 63*c + 119*c - 288 = 64*c, -4*q + 5*c + 167 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 2*h**2)*(19 - 19 + 9*h**2 + 2*h).\nAnswer: 18*h**4 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(133) + sqrt(133) + 2*sqrt(133)*-3 + sqrt(133)))\/(sqrt(28)*2 - (sqrt(56)\/sqrt(2))\/sqrt(4)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 7*d + 8. Let z be b(8). Suppose s + 6 = -3*h, z*s = s - 3*h - 24. Suppose 4*t = 7*t - s. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114*d + 70*d + 60*d)*(-d**3 + d**3 + 3*d**3).\nAnswer: 732*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -4. Let r = -4 - f. Let j = r - 2.3. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 11. Let x(b) = -866*b**3 + 636*b**3 - 1939*b**3 - 5*b + 9 - 9*b**2 - 1. Let h be x(a). Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 2*t + 1. Let q be z(2). Let i = q + 15. Suppose i*n - 2*o - 178 = 0, 0*o + 4*o = 4*n - 184. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 469 = 4*f + 183, 2*h - 599 = f. Suppose -5*k + h + 2317 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-9)*(-180)\/40. Let k(w) = -576*w + 576*w + 2*w**y. Let u(f) = 16*f**2 - 17. Let r(c) = 2*c**2 - 2. Let j(b) = -51*r(b) + 6*u(b). Determine k(j(n)).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o**4 - 10\/9*o**3 + 0*o**2 + 0 + 2\/9*o**5 + 8\/9*o = 0 for o.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 7*a + 8. Let y(c) = -c**3 - 15*c**2 - 14*c - 7. Let i be y(-14). Let l be d(i). Suppose 0 = 3*n - l*n + 20. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 1031*q**2 + 164*q - 169161. Calculate j(1031).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 33*t**2 + 70*t - 1113. Calculate b(32).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 - 9*n - 3. Let x(w) = w + 12. Let s be x(-9). Let y be r(s). What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.5980808 to the nearest integer.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - g = 1840, -2*a - 5*g = -6*a + 2446. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1686\/25091 or 1?\nAnswer: -1686\/25091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -1, -962 in increasing order.\nAnswer: -962, -42, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1743 divided by -4\nAnswer: 1743\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 8, -16, -74, -178, -340, -572?\n\"Answer: -2*z**3 + z**2 + 9*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**3 - 9*y**2\/2 + y. Let t(q) = -4*q + 6. Let b(k) = -5*g(k) - 8*t(k). Calculate b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d*l**3 + 17226*d + 3203*l**3 with respect to l.\nAnswer: 18*d*l**2 + 9609*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 24. Let s be y(5). Sort 4, s, -3 in decreasing order.\nAnswer: 4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/87 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbp when three letters picked without replacement from pbpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 10. Let l be h(-7). Suppose -l*m = m - 30. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -13*l**2 + 10*l - 66. Differentiate r(w) wrt w.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 6*v - 4*v**2 + 16 - 17 + 4*v**2 to c*v**2 + l*v + r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -5\/7 (b) -1 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165718500 is divided by 55239493.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 115 = -1485*s + 1484*s, 0 = 2*s + h - 23 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-22) + (-246)\/(-22). Is (-344)\/(-5) - i\/(-55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12199730 to the power of 1\/2, to the nearest integer?\nAnswer: 3493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 4*s + 4*s + 3 - 3 - 3*s + (3*s + 2*s - 7*s)*(-2 + 0 + 0) - s - s - 3*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t + 44. Let h be i(-4). Sort h, -2, -5.\nAnswer: -5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 409*h = -411*h, -2*v + v - 15 = -3*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606643 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 6, -4, 0, -3 in decreasing order.\nAnswer: 121, 6, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5.1, 1.1, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -1854\/209?\nAnswer: -1854\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**1*z))**(12\/5)\/(z**(-1\/3)\/(z\/(z\/(z**(-1)\/z)))))**(1\/4))**(1\/64) assuming z is positive.\nAnswer: z**(-5\/768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134 (base 10) to base 16.\nAnswer: 46e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964672770.\nAnswer: 2, 5, 19, 173, 59771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35701*g**2*s + 2*g**2*v**2 + 20*g*s*v - 2*g*s - 2*g + s*v**2 - 11*v**2 wrt g?\nAnswer: -71402*s + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 1, j: 3, p: 7, s: 5}. What is prob of sequence pp?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-3))\/((-2)\/3). Suppose -22 = 4*n - 2*y, -2*y + y = z*n + 45. Let w be (-9)\/6*n\/6. Solve -h - 2 = -r - 2*r, 0 = -3*r - w*h - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 8:07 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/370680 and -29\/150?\nAnswer: 1853400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1474 - 1606.4. Let q = o + 17.4. Let c = -116.02 - q. What is c rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -f + 4*f - 4*u, -u = -7. Which is the nearest to f? (a) -1\/3 (b) -2.38 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.217 - 0.2. Let q = u - 0.095. Round q to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 2*sqrt(1700))*-4 + sqrt(1700) + 1 + -4)*-3*6.\nAnswer: 54 + 1980*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 7 = 11*l - 2*f, 4*l + 5*f = -6. Suppose -5*i + 10 = -5*q, -q + 20 = q + 4*i. Let s(j) = 2*j**2 - 5*j**q - 1 - 3*j**2. Calculate s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3750754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0*v**7 - 2\/3*v**4 + 0 + 0*v**2 - 5*v + 0*v**3 + 0*v**6 - 5\/56*v**8 + 0*v**5. What is the third derivative of l(z) wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 17. Let f be p(-11). Let r be (6 - 34\/f)\/(1\/27). Let b(a) = -27*a + 9 - r. Let v(n) = n**2. What is v(b(z))?\nAnswer: 729*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2210759219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2 + (2 - 4 + 4)*(-1 + 2 + 1))*(4*z - 4*z - 2*z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/30*-20*(126\/(-9))\/(-15036)?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1288*d**4 + 63540 with respect to d.\nAnswer: -5152*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8*i = -160. Let m = -28 - i. Suppose -2*n + 4*n = -2*w, m*n = -w + 15. Solve -3*h = 2*q - q + 8, 0 = 5*q + n*h + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 59 = -4*z, 5*z = 14*o - 17*o - 78 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 + 2*z**2 + z - 5. Let k(y) = 11*y**3 - 3*y**2 - 2*y + 10. Let b(n) = -7*j(n) - 3*k(n). Suppose 0 = 27*v - 39 - 123. Is b(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 45*f**2 + 33*f**2 + 3.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2154655 + 136?\nAnswer: 2155124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -2)**2 + sqrt(5) + sqrt(35)\/(-4*sqrt(7)).\nAnswer: -189*sqrt(5)\/4 + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-16))\/11*-2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = 2*f. Let q be (f\/3)\/((-8)\/36). Solve 3*t = -q, 4*r - 2*t - 19 = t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024368 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/9 + 28*z**2\/9 + 20*z\/3 + 4.\nAnswer: 4*(z + 1)*(z + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -59612.624 to the nearest 10.\nAnswer: -59610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(-26 - 5 - 14)*(-3*v + 2*v - 3*v + (-4 + 4 + 2*v)*(-4 + 2 + 3)) as n*v + s and give n.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 3884914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25505 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/17))\/(s*s**(-5\/2)\/s*s*s*s*s)*s**(-2\/63)*s\/(s**(1\/11)\/s) assuming s is positive.\nAnswer: s**(28295\/23562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u**2. Suppose p + 0*p = -2. Let w be y(p). Let x be (-4)\/w + 44\/6. Solve -x = 3*t + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293606, -293607, -293608, -293609?\nAnswer: -293610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21017 + 21019. Calculate the least common multiple of 128 and s.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.291\nAnswer: -1.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 + 3 - (48\/2 - 4). Suppose -4*n - 2 = -2*p - p, -2*n - 2*p = -6. Let b be (0 + n)*(-3)\/(-1). Solve l + 14 = -5*x, 3*l - x + b + 7 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 46*a + 183. Let o be p(-4). What is the third biggest value in -0.153, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*i**4*q + 8*i**2*q - 5*i**2 wrt i?\nAnswer: -2688*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -112*v - 17. Let u(a) = -a**2 - 10*a - 3. Let q be u(-10). What is the units digit of w(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -386*z + 7383*z**2 - 3728*z**2 - 3749*z**2 wrt z.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481000, -481019, -481036, -481051, -481064, -481075?\nAnswer: -481084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 4 = q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*4*(-1)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050640319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5525 - 3054. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2808, -5568, -8222, -10764, -13188, -15488?\nAnswer: -17658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4362, -1586, -7534, -13482?\n\"Answer: -5948*v + 10310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6137560 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -22 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49714.06 years to months.\nAnswer: 596568.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2650.58159 from 0.267.\nAnswer: -2650.31459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 47. Let y(x) = 35*x - 1. List the prime factors of y(i).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*r + 766738 + 93532 = 125816. What are the prime factors of r?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from qtrrvaqooooqtat.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871*h**5\/7 - 14163*h**4\/7 + 5248*h**3 - 24132*h**2\/7 + 688*h\/7 = 0.\nAnswer: 0, 2\/67, 1, 2, 172\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbbb when four letters picked without replacement from dddbdddbddbbbd.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*d + 74 = -82*d. Suppose 4*a = -5*u + 37, 5*a - d = -4*u + 7. Solve -o = -3*o + a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9) + 5\/3. Let u(v) = 4*v - 1. Let o be u(p). Suppose -6 - 3 = -o*j, 5*j + 3 = n. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8722.594ml to litres.\nAnswer: 8.722594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 5*o**2 + 6*o. Let v(n) = -n**3 + n**2 - n. Let b be (2\/3)\/((-4)\/6). Give b*s(j) - 5*v(j).\nAnswer: 3*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386378, 386375, 386372, 386369, 386366, 386363?\nAnswer: 386360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(7*b**5 + 28*b**5 - 16*b**5).\nAnswer: -57*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**6\/1800 - k**5\/300 - 3*k**3\/2 - 4*k. Let h(v) be the second derivative of t(v). Let h(p) = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*y + 1188 = -0*y, -2*y + 606 = 2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 8) to base 3\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**2*p**3 - 2*l**2*p**2 - 40*l**2*p - 4*l**2 - 156*l*p**5 wrt p?\nAnswer: -6*l**2 - 9360*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 69020*w + 73797648.\nAnswer: -2*(w - 1038)*(w + 35548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(2 - (2 - 1)). Suppose 2*h - 8 = -o*h. Let z be (-2)\/(44\/23 + -2). Solve -c + z = -5*t, -h = -4*t - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Suppose 2*k - n*k = 3*l - 6, -4*k + 18 = -l. Let g be 3 - (8*-1)\/k. Calculate the greatest common factor of 25 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.5 + -14.7. What is the closest to 2\/7 in 5, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/17))**(-4)*(p**(2\/13))**(-6\/37))**(-6\/13) assuming p is positive.\nAnswer: p**(-21864\/106301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -285.4? (a) -5 (b) 22 (c) 1 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10283 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12265\/13 - 943. Let h = -55\/91 + s. Put h, 0.3, 1\/2 in increasing order.\nAnswer: h, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 3 + 4*r - 4 + r**3 - r to the form g*r + s*r**3 + p*r**2 + v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20103768*i**3 + 11135003*i - 2?\nAnswer: 120622608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89716051.\nAnswer: 73, 1228987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 10*f**2 + 6 + 16*f**2 - 3*f**2 to the form i*f + z + d*f**2 and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 366, -9, 1, -1 in descending order.\nAnswer: 366, 3, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, e: 2, g: 5}. Give prob of sequence gee.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1308043 + -34.8350508\nAnswer: 1308008.1649492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000085654732 rounded to 6 decimal places?\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9686 - -9714. Solve -65 = g*x - 37 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 = 6*l. Let u be (-15)\/(l\/1) - 3. Suppose 0 = -3*i - 9, 5*j - 3*j - 3*i - 67 = u. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -9, -4*s + 5 = -3*f - 1. Suppose 30 = 2*m + f. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18633 is divided by 4651.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (5 + (7 - -2 - 25) - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -698 - 1.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004891529 rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 34 = 3*k, 0 = -2*k - 2*h - 3*h + 26. Let z be 4 - 1 - (-16 + k - -7). Solve 3*p - 2 = 2*g - 10, -z = -4*g + 3*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v**2 - 10*v**4 + 0*v**4 - 666*v + 664*v + 2 + 0*v**4 - 4*v**4 to the form l + n*v**4 + s*v**3 + p*v + y*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*o**3 + 114*o**2*p - 57254*o*p wrt o?\nAnswer: 186*o + 228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110331640?\nAnswer: 2, 5, 2758291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5\/4, -1\/3, 118, 1, 0 in decreasing order.\nAnswer: 118, 12, 5\/4, 1, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 185*n**2 - 124*n - 697. What are the prime factors of c(-6)?\nAnswer: 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v = 73*v - 418. Solve -21 + v = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -7\/24*l**4 + 328*l**2 + 0*l + 0 + 1\/2*l**3. Let z(h) be the second derivative of h**4\/12 + h. What is z(b(y))?\nAnswer: 49*y**2 - 42*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w - 25*w + 87 = 0. Let g be (-4)\/6 - (-2)\/3. Sort -5, g, 0.3, w in decreasing order.\nAnswer: w, 0.3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from yrrxbjxuxryruxrrxx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -y + 23852, -3*k = 2*y - 47147 - 555. List the prime factors of y.\nAnswer: 2, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2, 2*v + 5*x + 10 = 5*v. Let h(u) = u - 3*u + u + v*u. Let y(n) = 19*n**2. Calculate h(y(m)).\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23049 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 15*v - 1. Let a be n(-15). Let i(o) = -2*o**3. Let c be i(a). What is the derivative of 2*t**3 + 855 - t**4 - 846 - c*t**3 wrt t?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15)*y**15)**33 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3860612 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from {h: 2, d: 3, c: 6, r: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 187?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/5)\/u)\/((u\/u**(-5))\/u))\/(u**(2\/3)\/u)**(-4\/25)*(u**(2\/5)\/(u*u*u**(1\/2)\/u*u))\/(u\/(u\/(u*u*u**(-1\/6)*u))*u*u**(-3)) assuming u is positive.\nAnswer: u**(-659\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9ea - 4?\nAnswer: -9ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0*b + 0*b**3 + 0 - 2\/11*b**4 + 2\/11*b**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808130341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6407?\nAnswer: 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/927383 and -107\/5806224.\nAnswer: 133543152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -97\/5 (b) 235 (c) -5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 6, r: 1, h: 2, b: 3}. Give prob of sequence rub.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 114527 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1261677163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1\/4, -2\/5, 4, -40 in descending order.\nAnswer: 25, 4, -1\/4, -2\/5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 16*s + 6. Let v(i) = -i - 1. Let x(a) = r(a) + 12*v(a). Factor x(z).\nAnswer: 2*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/220555246?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71028*b + 18 = -71037*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/60*r**6 + 0*r + 1\/6*r**4 - r**2 + 0*r**5 + 0 + 0*r**3. What is the second derivative of k(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 4*o + 2. Let j be s(-2). Suppose 12 = -4*q + k - 2*k, 0 = -j*q + k - 6. Suppose -n + 7 = -2*n - w, -1 = -n + w. Is n < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65290 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6060362 divided by 29854?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5543.\nAnswer: 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, 3, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 909 + -1307. Let h = -288 - o. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815 - 471926990?\nAnswer: -471928805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106324 divided by 33?\nAnswer: -63828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*s**4 + 1741*s**2 - 1742*s**2 + 74*s - 10880 - 10*s + 382*s - 17*s**4 wrt s.\nAnswer: -12*s**3 - 2*s + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 325 (c) -2.4 (d) 8 (e) 14 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 90\/(-196) - 1\/(-2). Suppose -m - m - 5*p + 3 = 0, 3*m - 3*p = 15. Suppose -16 = m*w - 4*l, 12 = -0*w + 3*w + 3*l. Which is bigger: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*1365\/975?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011010 + -10011011101101?\nAnswer: -10011000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35132893321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1666 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 2*j - 16, 4*w = -4*j + 4. Suppose 2*v - 25 = -w*v. Suppose 5*y = -v*x + 350, x + 275 = y + 3*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -919*z + 942*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**3*s**3 + 4*q**3*s**2*x - 1074*q**3*s + 2*q**2*s**3*x + 5*q**2*x - 559*s*x wrt q.\nAnswer: 6*s**3 + 24*s**2*x - 6444*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 3, o: 1}. What is prob of picking 1 t and 3 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyq when three letters picked without replacement from {a: 1, y: 3, w: 1, e: 1, q: 3, o: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243970 and 44640.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -15. Let t(z) be the third derivative of -1\/12*z**4 - 1\/60*z**6 + 0*z**3 + 0*z - z**2 + 0*z**5 + j. What is the second derivative of t(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*g = -19, 13 = -3*m + 5*g - 0*g. Solve -5*f + r = -21, m*f = 2*f - r + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940559 and 8296?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -46, 3, -44, -1 in descending order.\nAnswer: 3, 2, -1, -4, -44, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1303.7286 - -1305.7. Let p = v + 0.0366. Let z = 0.008 - p. Which is the third biggest value? (a) 3 (b) -2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 1, x: 5, s: 12}. What is prob of picking 1 x, 2 s, and 1 w?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 39*l**2 - 257*l - 3899. Determine z(-22).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*m + 17. Solve -r = t, -t = -m*r + 2*t - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137 and 3151?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 37*w + 188. Suppose -i + 30 - 6 = 0. What is the remainder when i is divided by s(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u - 22*u - 16*u + 60*u - 18*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1278 + -14045\/11. What is the common denominator of 13\/2 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -431 - -432. Let f = 5\/2 - 9\/4. What is the closest to w in f, -1\/9, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/3))\/o**(-15) assuming o is positive.\nAnswer: o**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k**2 + 205*k + 3. Let o(t) = 13*t**2 - 407*t - 7. Give -7*j(g) - 3*o(g).\nAnswer: 3*g**2 - 214*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3011 - 3003. Let h(x) = x**2 - 4*x - 9. What is h(s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 - n - 2. Let c(l) = 13*l**3 + 533*l - 4. Give c(g) - 2*f(g).\nAnswer: g**3 + 535*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159995*b**2 + 845594*b.\nAnswer: 319990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 4 + 4 + (6*d**3 - 5*d**3 - 2*d**3)*(3 - 1 - 3) + 4333*d**3 + 4889*d**3 - 3779*d**3 - 3*d**3 - d**3 + 5*d**3.\nAnswer: 5446*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -40. Let f = -12 - -12. Let c be 0\/k + (f - -1). Let n(r) = -r**2 - r - 1. Let m(t) = -6*t**2 - 7*t - 6. What is c*m(a) - 5*n(a)?\nAnswer: -a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*r - 24, 0 = -29*s + 31*s - 2*r + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccc. Give prob of picking 2 c and 1 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*w - 4, 4*w + 5*f = -0*f + 12. Let o = 13 + w. What is the remainder when 32 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*q = -0 + 26, 4*a + 2*q - 60 = 0. What is the derivative of -29 + a + 33*c**4 + 31 wrt c?\nAnswer: 132*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 48.8?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than or equal to -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h - 1. Determine b(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 1. Let h be i(-2). Let c = 12 + h. Suppose -41 + 2 = -5*a - b, 0 = a - 4*b + c. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1)*-1 + 2 - -8. What is the second derivative of -z + 3*z**3 - 66*z**2 + 2*z**3 + 125*z**2 - 65*z**2 - k wrt z?\nAnswer: 30*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18902127 to the power of 1\/2, to the nearest integer?\nAnswer: 4348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 31627 + 31729. Put 3, x, 6, -4, -24 in ascending order.\nAnswer: -24, x, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 4050.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/344 and 11 - 29 - -10 - 58075\/(-7310).\nAnswer: 5848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 3*r**8\/112 - r**5\/30 - 89*r**4\/6 + 109*r**2. Find the second derivative of y(k) wrt k.\nAnswer: 180*k**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, u: 3, y: 1}. Give prob of picking 1 y and 2 p.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/20 + h**4\/12 + h**3\/6 - h**2\/2 - 3*h. Let q be w(1). Let l(c) = -c + 1. What is the units digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -50, -717 in descending order.\nAnswer: -2, -50, -717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2807 + -2807.12. What is the fifth smallest value in -0.1, -2\/9, 6, p, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 18 = 2*w, -3 + 7 = 4*l - w. Let g = 1\/201 - -797\/1407. Suppose -6\/7 + g*q + 2\/7*q**l = 0. What is q?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368 bigger than 247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 21*h**3 + 23*h**3 - 14*h**3.\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 * 18025.\nAnswer: 2163000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {v: 4, h: 2, o: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6009, -12018, -18025, -24030, -30033, -36034?\nAnswer: -42033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 18?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -258082 - -258081.8900072. Let y = n - -0.11. What is y rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1596*g - 263410. What is c(165)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 590293 rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 + -272.2. Let n = c + 63. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from whwhhwlhwhhwhhl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5465219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14\/((q**(1\/19)*q)\/q) assuming q is positive.\nAnswer: q**(265\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**3\/3 - 21*m**2\/2 + 12*m - 3274. Calculate s(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1249, -1487, -1725, -1963, -2201?\nAnswer: -2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419371.\nAnswer: 269, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -4 + 5 + -4 + 5 + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:29 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 894326, 1788558, 2682726, 3576830, 4470870?\n\"Answer: -32*p**2 + 894328*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 280578 - -12?\nAnswer: 280601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/32)\/(33\/(-88)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80863273 to the power of 1\/2, to the nearest integer?\nAnswer: 8992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*x - 41*x + 439*x - 1 + 0.\nAnswer: 1301*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5442373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-5772)\/(-442) - (-7145)\/(-85)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(931) + (sqrt(931) - (sqrt(931) + 4*sqrt(931)*2)) - sqrt(931)) + -5)*5 + -2)**2.\nAnswer: 129360*sqrt(19) + 13412329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 123 = 54*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 17*k - 35*k - 16*k + 21*k.\nAnswer: -13*k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7635, -15393, -23173, -30975, -38799?\n\"Answer: -11*a**2 - 7725*a + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/3 + 38*p**2 + 620*p\/3 = 0 for p.\nAnswer: -5, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*p + 6, 27 = 5*v - p + 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and (-9)\/3 - -5 - 11\/(99\/(-51795)).\nAnswer: 51813","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2718 and 10610166.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3330613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1354.88 litres?\nAnswer: 1354880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + 16 = 0. Suppose -5*j - 8*j + 5*j = 0. Let d = u - j. Solve -i + 2*l = 0, d*i - 6 = 3*i - l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*j + 5*j = 181, 2*j + 66 = 2*x. Suppose 6*q - x = q. Suppose -5*p + 2 = -3*m + q*m, 2*m = -3*p. Solve -4*f + 4*i - i = 4, -m*i = 4*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.088*-0.57.\nAnswer: 0.05016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from sbubqbssuuobsusu?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/9))**(6\/7))**(-1) assuming j is positive.\nAnswer: j**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:35 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3125 - 2636. Do 489 and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 150*a. Let c(g) = 599*g**2. Give c(n(v)).\nAnswer: 13477500*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 11*j + 8. Let q be p(-10). Let s be 0 - (-8 - (-5 - q)). Solve 2*z + 13 = -s*x + 5, -3 = -3*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 262. Let s(q) = -q**2. What is a(s(g))?\nAnswer: 2*g**4 - 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 2*g**2 + 5*g + 1. Determine t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 9 - 232*a - 105*a - 91*a - 154*a.\nAnswer: -582*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 4*v - v)*(6 - 1065*v**2 + 4 - 8 - 755*v**2) as p*v**3 + f*v**2 + u*v + g and give p.\nAnswer: -1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 24\/(-108) + 508\/18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 11*z**2 + 10*z + 10. Determine i(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 2.75, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -55. Let y = -94 + 92. Calculate the remainder when h is divided by (((-15)\/y)\/(10\/(-20)))\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20286977.\nAnswer: 20286977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**4 - 5*i**4 + 2*i**4 + (2 - 2 - 2*i)*(102*i**3 - 53*i**3 - 45*i**3) + 0*i**3 + 0*i**3 - 2*i**4.\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 22. Let y(i) = i - 6. Calculate the least common multiple of y(30) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*(w\/(w*w**(3\/4)\/w)*w)\/w)\/(w\/((w**(-5)*w*w)\/w)*w\/w**4) assuming w is positive.\nAnswer: w**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, u: 1, h: 1, w: 1, r: 1}. What is prob of picking 1 g and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/6 + l. Let x(h) = -2*h**2 - 1. Let a be 2\/4 + 2\/4. Let g(y) = y**2 + 1. Let z(m) = a*g(m) + x(m). Determine z(q(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*u**2 - 2*u**3 - 33*u**2 - 18*u**2)*(28 - 13 + 17) as g + l*u**2 + v*u**3 + d*u and give l.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222400464.\nAnswer: 2, 138900029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -59984.9 - 0.9?\nAnswer: -59985.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.67 - 0.97. Let f be (6\/(-21))\/(30\/(-14)). Which is the second biggest value? (a) 1 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(475)*-2 - sqrt(475) - sqrt(19) - (-4 + sqrt(19) + sqrt(57)\/sqrt(3) + sqrt(19))) - (-2*sqrt(475) + -1 - (sqrt(475) + sqrt(475) + 1 + -4)).\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 12) in base 15?\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**6\/10 - 9*r**5 + 193*r**4 + 1920*r**3 + 6144*r**2 + 4155*r. Determine i so that k(i) = 0.\nAnswer: -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 17*p - 568*p**2 - 14*p - 82*p**2.\nAnswer: -650*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + a76?\nAnswer: a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 1. What is the lowest common multiple of 9 and h(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) - (-9)\/(-2). What are the prime factors of (-43)\/((m\/2)\/2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*f + 21, b + 2*f + 2*f - 21 = 0. Let y = 732 + -728. Solve -y*u + 25 = -b*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = 8*j. Suppose u + j = 7. Let l = -309 + 323. What is the lowest common multiple of l and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(55)\/sqrt(5) + sqrt(11) + (sqrt(11)*-4 + -3)**2.\nAnswer: 26*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 1. Let f be j(0). Let d = f + -2. What is the units digit of 1 - ((-9)\/(-3))\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + cfe?\nAnswer: cfa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -178? (a) -4 (b) 178 (c) -2 (d) -10 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51527 or 51524?\nAnswer: 51524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21\/170 - 14\/17. What is the common denominator of r and 3*(-43)\/90 - 21\/(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -6.1. Let k = -4.99 - n. Let q = -0.39 - k. Sort -3, 1, q in descending order.\nAnswer: 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166430?\nAnswer: 2, 5, 41, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 21 + -16 + 1 + -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31651088891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, -1, -3 in descending order.\nAnswer: 0, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 20*h**2 - 40*h + 71. Let g be z(18). Let j(r) = r - 3. Let k(q) = 1. Calculate g*j(l) - k(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*t**5 + 798*t**4 + 17142*t**3 - 24564*t**2 - 5535*t + 12150 = 0. Calculate t.\nAnswer: -45, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-21 - -4 - -36)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3 + (-21)\/(-6)). Sort w, 2, 3.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/4 - 5*p**3\/3 - 3*p - 2. Let n be i(5). Let g = 0 - n. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/5 of a litre in millilitres?\nAnswer: 7800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 - (32 + -11)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -0.26067649\nAnswer: -0.36067649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -87896 greater than -87898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) - (0 + (sqrt(15)\/sqrt(5))**2)) + (3 + -1 + sqrt(3))*-3 + -2 + -5.\nAnswer: -7*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h - 3. Let n be 121\/(-44) + (-2)\/8. Let g(k) = -13*k - 7. Let b(p) = n*g(p) + 7*u(p). Let z(f) = -5*f. Determine b(z(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 4*n)*(-6*n + 2*n + 2*n) + n**2 - 4*n**2 + 5*n**2 + 10 - 3*n**2 - 10 + (0 + 0 + 2*n)*(-n + 3*n - n) - 2*n**2 - 3 + 3.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 8. Let h be i(-5). Let m be 3 - 1 - (3 + 0). Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -404 - -413. Let d be 1 - (-2)\/((-4)\/(-10)). What is the third derivative of -8*m**5 - d*m**3 - n*m**5 + 6*m**3 - m**2 wrt m?\nAnswer: -1020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17882 - 17882 - 11*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175 - 171. Solve -2*l = -g*h - 4*l + 12, 0 = 2*h - 4*l + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = j, -2*p - 3*j = 98 - 106 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2405560, 2405552, 2405534, 2405500, 2405444, 2405360?\nAnswer: 2405242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 7:39 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Let p(c) = -589706*c. Determine p(b(y)).\nAnswer: -589706*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:55 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1990000 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 1. Let x = 234 + -234.1. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + sqrt(567) + -4 + 4 + sqrt(567) - (5 + (sqrt(567) - (sqrt(567)*1 - sqrt(567))))) + 4 + -2)**2 + 1.\nAnswer: -108*sqrt(7) + 2278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16223904 divided by 4055976?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-522)\/(-30) + (-4)\/10. Suppose -17 = -5*l - j. Suppose l*i = -i + d + 918, 3*i - 5*d - 2752 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173400361*a**2 - 346800721*a**2 + 173400359*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and ((-45)\/33)\/(-5)*13.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 6*z + 98 = -2*z, -2*n + 4*z - 46 = 0. Let q(k) = -k**2 - 5*k + 102. Give q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7733.079 millilitres?\nAnswer: 7.733079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1725*m**5 + 7*m**4 - 2*m - 7031 wrt m?\nAnswer: -34500*m**3 + 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 7:29 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9. Find the second derivative of -2*i**3 + 2*i + p*i - 3*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210\/(-255) - (-56)\/98*(70\/(-68))\/5?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 48960 divided by 4080\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-5\/2))*x)**(2\/7) assuming x is positive.\nAnswer: x**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 25*m - 39 = 22*m, 39 + 15 = -5*y + 2*m for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*b - 559 - 1025 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -72, -64, -56, -48, -40?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1, 2662, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + t**3 + 2*t**3 + (t - t**2 - t)*(-t + 6*t - 2*t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 11 = -2*n - 2*n, 2*p = -n + 1. Let s = n - -17. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -586.\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 50776?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9120 divided by 30?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 14*m**2 + 29*m - 48. Let h be g(12). Suppose -4597 = -h*v + 1223. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(63*(-6)\/(-72) - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, -28 in decreasing order.\nAnswer: -0.1, -0.2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*c - 21*c + 35. What is the tens digit of (c + -37)*(-1)\/(-3)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 8:44 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9699 + 38805 - 9698 - 9689 - 3*k**3 - 9711.\nAnswer: -3*k**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289 - -474. Are p and 184 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 577 (c) 0.64 (d) -3 (e) -0.3 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1706 and 1314?\nAnswer: 1120842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28843 - -2?\nAnswer: 28845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 374362 less than or equal to 374363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 22 (b) -0.3 (c) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30641*m**3 - 15075*m**3 - 15537*m**3.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 7*j + 6. Let z(b) = -4*b**2 + 6*b - 5. Let u be (-1)\/1*(-6 - 0). Let m be (-2 + 3)*3 + 3 + -1. Give m*n(c) + u*z(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 9900?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4486*h + 10698 + 53583 = -3558*h + 11385 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 265998018?\nAnswer: 1063992072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 621 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*s + 1510 - 1512, 2*s = -3*g - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -47165?\nAnswer: -47164.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -21. Suppose t - 2*q = -4*t + 341, -337 = -5*t + u*q. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 12. Let x(c) = -2*c + 6. Let d(u) = -3*b(u) + 7*x(u). Let n = -5 - 0. Does 8 divide d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -52*r**3 - 9*r**2 + 62*r - 215. Let d be j(4). Round d to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -30949?\nAnswer: -30949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 86 + 68*p**3 - 180 + p.\nAnswer: 68*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5, 236 = 5*h - x + 5*x. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2022487.\nAnswer: 2022487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 7:09 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*x = -3*m + 1390, 0 = -4*m - 2*x + 1396. Suppose -3*t = -8*t - m. Let k be t\/(-9) - (-6)\/27. Solve 0*y = -3*y - 5*a + 32, a = 3*y - k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268851 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/(1*(-5)\/(-45)). Let v = 9 - y. Suppose 2*z + v*z = 296. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h - 7. Suppose 2*i = -2*i - 16. Let b(v) = -5*v - 4. Let d(l) = i*a(l) + 7*b(l). Let n(r) = -2*r**2. Give d(n(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**4*w + 2839*u**3*w + 8010*w wrt u.\nAnswer: 4*u**3*w + 8517*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -2\/3*d**3 + 0 - 207*d - 191\/2*d**2. Differentiate s(l) with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1995350 and 4845850.\nAnswer: 33920950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 11*d - 3345. What is the remainder when s(40) is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 99 = 4*o, -2*i - i = -2*o - 53. Suppose -5*u - 2*r + 15 = -5, -5*u - 5*r = -35. Let d be 1*u + 60\/o. Does d = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 413*l + 408*l - 820*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxsbqqqaqqqqsb. Give prob of sequence axq.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 9. Let d be (-1)\/(-2) - 10\/(-4). What is the units digit of 4\/w + (9 - d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 748\/66 - 2\/(-12)*-2. Let z(d) = -d**2 + d. Let o(f) = 4*f**2 - 8*f - 1. Give u*o(q) + 5*z(q).\nAnswer: -q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -3.741\nAnswer: -2.2446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*u - 42 = -3*c, -6 = 2*u. Let j = c - 26. Solve 0 = j*g + 8 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -25*s**2\/2 - 259*s + 199. Differentiate v(o) wrt o.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**2 - 2*w + 1. Suppose -36*s + 125*s = -400 + 44. Determine g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1610*o**2 + 129*o - 483. Is q(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffgggfgff?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 117494091 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.26382 - -0.73618. Sort 2\/4029, 2, -4, c.\nAnswer: -4, 2\/4029, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12474373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1331 and 605?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4825\/(-32810))\/(5\/(-2)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -27*u + 218. Let x be r(8). Solve x*g = -2, -f + 5*g - 20 = -6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 49*v + v**2 + 2*v**2 + 32*v - 4*v**3 in the form w + c*v**2 + r*v + a*v**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(117\/(-18))*-3*(-2)\/(-90).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 4:46 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - 3*s - 6*s**3 - 7*s**3 - 9*s**3 + 23*s**3 + 1 in the form b + o*s + w*s**2 + i*s**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 10 = -2*x, -143 = 3*i + x. Let d = i - -33. Let j(z) = 2*z**3 + 3*z**2 - 2. Let v(g) = 10*g**3 + 14*g**2 - 10. What is d*j(s) + 3*v(s)?\nAnswer: 2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/115 + -10127\/1380. Find the common denominator of -97\/2 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 + -1233\/4. Let u = 27689\/3384 - -15\/376. What is the common denominator of u and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 3*x**2\/2 - 7*x\/4.\nAnswer: x*(x - 1)*(x + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.3, -5\/2, -105, -2\/91?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**1\/p)**11\/(p**(-2\/9)\/p**7) assuming p is positive.\nAnswer: p**(263\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4 - 0. Let j = 8 + -7. Is (0 - -89)*(k + j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -85. Suppose -w*l = -2*l + 4*l. Suppose l*i - 16 = -5*v - 3*i, 3*v + i = 8. Solve -u = v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 201663146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16976*r - 16974*r - 325*r**2 - 111*r**2.\nAnswer: -436*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8854 + -5789. Suppose -40*h + 35*h = -m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 1. Let v(i) = 5941*i**2 - 5. Determine t(v(n)).\nAnswer: 35646*n**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 45. Let t(r) = 4*r**2 - 5*r - 18. Let v be t(4). Let g = c + v. Is 9 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*c + 88609 - 88609)*(-3 + 1 + 5)*(-17 + 119 - 24) + (-4 + 3 + 2)*(3*c - c + 0*c).\nAnswer: 68096*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b + 342 = 193*b. Solve 0 = -3*j - 5*n - b, 2*j + 12 = j - 5*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -5, 4 in descending order.\nAnswer: 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-218 + 12 - 78)*(-7*p**2 + 11*p**2 - 12*p**2)*(-2*p - 3*p + p)*(1 + 4 - 3) to the form x*p + q*p**3 + j + g*p**2 and give q.\nAnswer: -18176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1666, 3281, 4860, 6397, 7886, 9321, 10696, 12005?\nAnswer: 13242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let f(v) = 297*v**2. Determine f(k(h)).\nAnswer: 2673*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 13 (b) 2\/27 (c) -2\/11 (d) -585 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70884, 71281, 71676, 72069, 72460, 72849?\n\"Answer: -h**2 + 400*h + 70485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 13*a = 4*a + 3, -7 = 7*z - 5*z + 5*a - 2*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(85) - sqrt(85))*4)\/(5*(sqrt(5) + -6*sqrt(5)*-2))*-2*-3.\nAnswer: 432*sqrt(17)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence affv when four letters picked without replacement from dcdvvccffffacra?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9863895 - 16?\nAnswer: 9863879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*q = -22, 5*q - 3*q + 32 = 2*f. What is the remainder when 40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183067\/14 + 13082. Calculate the common denominator of i and 5\/20 + 204\/(-64).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiff. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -76, -340, -906, -1888, -3400, -5556?\n\"Answer: -19*j**3 + 20*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(4\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6216631 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Suppose 5*k - k - 3 = -f, 0 = -u*k. What is the first derivative of -4 - n**2 + n**2 - f*n**2 + 0*n**2 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 3*y**2 - y - 2. Let g be w(-4). What is the smallest common multiple of 12 and (-8)\/g*7\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 19, 0.4, 0.06, -3110?\nAnswer: -3110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 36*f + 259 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5545 + -4957. Calculate the remainder when n is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1.6 (c) -2\/11 (d) -3 (e) -18 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.074 - 0.074. What is the closest to -0.1 in p, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1\/12))\/(s**(-2\/17)*s))\/(s**(-2\/7)*s\/s**(4\/3)))**(-2\/9) assuming s is positive.\nAnswer: s**(-1171\/6426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert d5693 (base 14) to base 5.\nAnswer: 112430213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4 + 8542932*k**3 + 4561320*k**2 + 2*k.\nAnswer: 48*k + 51257592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856 is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -538 (base 10) to base 12\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 53.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/2 + 7*k**4 + 5*k**3\/2 - 7*k**2 - 4*k = 0. Calculate k.\nAnswer: -4, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (4 + 16)\/(-4). Suppose k*u + 36 = 85. Suppose 0 = -2*t + 8 - 2. Calculate the remainder when u is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/10344 - -41861\/6940824. What is the common denominator of -22\/427 and o?\nAnswer: 14091","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-11) - (-5229)\/(-297)*-3. Let h = -38 + l. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 - -39. Let m = j + 101. Solve m*v = 2*c - 0*c, -v + 8 = 3*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 373. Give s(49).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978 = 9*k - 1041 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 13) to base 4\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*b + 6. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 13. Give l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:14 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 + 1 + 0. Suppose -z*w = -5 - 4. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -468.4813 + -670.8822. Let y = -1243.39 - o. Let l = y + 104. What is l rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*w + 3*w = -44, -4*l = 5*w - 77. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145256 - 66217. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 95?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 1:09 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 3\/3 - 3. Suppose 3 = -3*y - 2*v, 4*v + 1 = 2*y + 3. Let a = y - c. Is 2 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5411*o**2 + 5403*o - 62105919 wrt o?\nAnswer: -10822*o + 5403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 2*q + 2*q)*(-9*q + 12*q - 8*q)*(-11*q + 6*q - 7*q)*(-5 + 4 + 3) + 0*q**3 - 7*q**3 + 0*q**3 in the form y*q + x*q**2 + o*q**3 + k and give o.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*i - 47, 5*m + 44 + 29 = -2*i. Let s = m + 53. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 54. What is the third derivative of -6*d**3 - 18*d**2 - o*d**3 + 10*d**3 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/9836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5808, 46363, 156450, 370833, 724276?\n\"Answer: 5794*m**3 + 2*m**2 - 9*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246336 and 1411584.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 13 = 2*u, 2*h + 5*u + 5 = -3*h. Let t(j) = 4*j**2 - 2*j - 3. Let i be t(-2). Let w = h + i. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9*n. Let k be m(-6). Let x = k + -75. Let c = -5 - x. Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11186*f - 59 + 25 + 34 - 35316*f)*(-5*f + 3*f + 0*f) in the form d*f + g*f**2 + r and give g.\nAnswer: 48260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-3)\/(-6)) + 14\/7. Suppose -o*t = -0*t + 20, -2*t = -4*a + 358. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8112, 7999, 7848, 7653, 7408?\nAnswer: 7107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2562 (base 8) to base 10\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vryvvtuvvvvxxtyvtyv. Give prob of sequence xxt.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16812*y**3 + 8407*y**3 + 8406*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 7*b + 3*b**3 - 15*b + b**2 - 2 + 3*b. What is the tens digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -3*n - 1\/2*n**2 - 3. Find the first derivative of f(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6104.5 and -403.\nAnswer: 5701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023122 take away 16546.9?\nAnswer: -16546.923122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 450193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -19, -30, -41, -52, -63?\n\"Answer: -11*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1*u**(-1\/4) assuming u is positive.\nAnswer: u**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202 and (-3)\/(((-5)\/10)\/1)?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.4 (c) 1.6 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 18*h**2 - h + 11. Let q be m(-18). Let r = q + -26. Solve -r*w - 5*s - 9 = 0, -5*w + s + 4*s = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -397 - -776. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355570 is divided by 18709.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 42 = -r - 4*r, 2*p + 108 = -2*r. Does -52 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/60*-14254 - (-10)\/(-75). Calculate the greatest common divisor of 350 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6 and 128\/78 + (-1)\/(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -8. Suppose 0 = -3*a - d - 25. Let t = 9 + a. Put 2, -5, t in increasing order.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Let u(g) = -3*g + 2*g + r*g + 0*g. Let z(n) = -4*n - 20. Let c(t) = 10*t + 45. Let x(b) = -4*c(b) - 9*z(b). Determine x(u(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5734 and 5673854?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 17130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 5*i**3\/6 - i**2 - i. Let x be q(-1). Let d be (x\/14)\/((-2)\/4). Put -1, -3, d in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2))**(-20))**(1\/21))**50 assuming d is positive.\nAnswer: d**(2000\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*k + 18*k - 1084*k - 573*k.\nAnswer: -2319*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -31. Which is greater: 17 or t?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 0 + 64 - (12 + -30 + 14)) + -8.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1533 - -1536. Solve z*y + 4*p = 18, 3*p = -y + 13 - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*p - 5, -3*f - 902*p + 11 = -903*p. What is l in 1\/2*l**f + 1\/6*l**3 + 1\/3*l + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 56 = 0. Suppose 0 = 16*j - 2 - 222. Calculate the least common multiple of j and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + w = 260, -a + 3*a + w = 173. Suppose -8*l - a = -3247. List the prime factors of l.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2806\/3 - 919. Factor 23\/3*p**2 - 4\/3 - 67\/3*p**3 + 16\/3*p - s*p**5 - 119\/3*p**4.\nAnswer: -(p + 1)**3*(7*p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 - 104. Let h(m) = -63*m**3 - m**2 - 3*m - 2. Let w be h(r). What is the highest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -4. Suppose 7*g - i*g + 18 = 0. Which is smaller: g or -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 28\/55125227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-14 - 5))\/(((-9)\/(-4))\/3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192 + (-3 - (0 - -2))?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25382715 + 75?\nAnswer: 25382790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - -0.06. Let n(t) = -t + 12. Let s be n(14). Let v = 8 - 5. Which is the closest to -0.1? (a) v (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*-5 + sqrt(70))\/(sqrt(100)\/sqrt(90)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2774\/(-76) + 37 + 6030\/4. What is the greatest common divisor of f and 2132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134497802.\nAnswer: 2, 61, 1102441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 558123, -2, -3, 0, 2 in decreasing order.\nAnswer: 558123, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14733128 - 6?\nAnswer: -14733134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -15. Suppose 4*y - 10 + 2 = -2*a, 5*a + y = 56. Let c = l + a. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwqwhwwww. What is prob of picking 2 w and 1 q?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419.2 - 419.6. What is the smallest value in 2\/153, z, -2\/19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*c**2*n**3 - 4*c**2 - 336*c*n**3 + 267*c*n - 14*c + 80*n**3 wrt n?\nAnswer: 174*c**2*n - 2016*c*n + 480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 7074?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 8*b + 40 - 61, 4*b - 2*z - 20 = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. Let l be (q\/18)\/((-15)\/(-9)). What is the nearest to 0 in 3\/2, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sbsfttfffbbfeft.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6*p + 71 = 0, -8 = -1881*k + 1886*k + p - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5478846 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-1)\/1)\/(4\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 11580 = 46484. Suppose 2*b - 1804 = 4*k, 3*k + h = 4*b + 2*k. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(242) + -3)**2)*-5 + 5.\nAnswer: -1250 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.22 less than -13050.689544?\nAnswer: -13062.909544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37173642.\nAnswer: 2, 3, 11, 439, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -5?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(192) + 1)**2 - (sqrt(75) + 3 + sqrt(75) + -1 + sqrt(27))**2.\nAnswer: -739 - 148*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/28900 and 69\/151250.\nAnswer: 87422500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 1 + -8 + (-78 - (-11 - -35))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/159 + 791\/318. Let l(t) be the second derivative of -5*t**3 + 2*t - 3\/2*t**6 + 0 + 1\/2*t**5 + 10\/21*t**7 + s*t**2 + 10\/3*t**4. Factor l(d).\nAnswer: 5*(d - 1)**3*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78810211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1226676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**6\/30 + 3*n**4\/8 + 41*n**3\/6 + 5*n**2\/2 - 2*n - 24. Let a(k) be the second derivative of y(k). Differentiate a(c) wrt c.\nAnswer: 12*c**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*f = -550, -5*f - 397 - 253 = -5*y. Which is greater: y or 132?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*i = i, 5*c + 4*i = 0. Find the second derivative of -11*x**4 + 0*x**3 - 3*x + c*x**3 + 14*x wrt x.\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86207968*a**4 - 89*a**2 - 70*a - 167?\nAnswer: -2068991232*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 204*b**2 - 1. Is a(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.278 * 0.065.\nAnswer: -0.01807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**5*w*w))\/w*w\/((w*(w*w*w**(-5)*w)\/w)\/w))\/(w*w**1\/w*w)**21 assuming w is positive.\nAnswer: w**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 13, t: 5}. Give prob of picking 4 t.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3759\/4 (b) 0.5 (c) 0.02255 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*p**2*u + 2*a**2*p**2 - 4*a**2*p*u**2 + 58*p**2*u**2 - 490*p*u wrt u.\nAnswer: -8*a**2*p + 116*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20947023 from 0.028.\nAnswer: 20947023.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from rrsgnarrrangang.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**7\/7 + 10*q**6\/3 + 89*q**3\/3 + 56. What is the third derivative of z(d) wrt d?\nAnswer: -240*d**3 + 1200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.18. Let f = p - -1.92. What is the nearest to -0.1 in -2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3943.3 * -473.\nAnswer: -1865180.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/6*(-255)\/1700)\/((-46)\/3105)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 8f06fa?\nAnswer: 8f06ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223972973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*(-35)\/(22050\/56)*7\/14.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13355545 and 4095?\nAnswer: 1562598765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x**2 + 3*x - 3. Let p(b) = -b + 11. Let k = 1 + 11. Let o be p(k). Let y(f) = f**2 + f. Let n(h) = o*v(h) - 6*y(h). Find j, given that n(j) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7119 + 7120. Let k(v) = -v + 0*v**3 - 1 + 3*v**3 - 4*v**3. Let h be k(-2). What is the greatest common divisor of u and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1671914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((203\/(-357))\/(-29))\/(26\/(-234))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.102\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 41. Let h(f) = -4*f**2. What is j(h(u))?\nAnswer: 12*u**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*18\/18*13\/(91\/(-231))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.2, -5, -11\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -1206?\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.61 (b) -69 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(30\/840). What is the third derivative of -704*d**3 + 765*d**3 + u - 18 + d**2 + 35 wrt d?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.3. Let v be (-50)\/(-28) + -3 + 190\/70. Let g be (-1)\/(-34)*(-4)\/1. Put v, g, s in ascending order.\nAnswer: g, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 4672*u + 40 - 2546*u.\nAnswer: -7218*u - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 7. Let v be x(8). Let j be (-111)\/(-15) - (-4)\/(-10). Let u = 5 - j. Which is the second smallest value? (a) u (b) v (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 3*m + 5. Let c be y(4). What is the common denominator of (2\/24)\/(c\/(-266)) and (-8)\/16 - (-4)\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 76 + 474*i - 2*i**4 - 237*i - 2 - 236*i + 7*i**2 as q*i**3 + b*i + j*i**2 + m*i**4 + t and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o. Let w(u) = u**2 - u + 5. Let q(r) = 3*n(r) - w(r). Let b be q(2). Solve 4*g - 4*z = -8, -b*z = 5*g - 11 + 51 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 3*n - 6. Let l be y(-5). Let w be 2 + -7 + 20 + -13. Which is greater: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 - 1 = 0. Let a(j) = -j**2 + 1. Let z(p) = 7*p**2 + 2*p - 13. Let u be (-1)\/2*(-6)\/((-6)\/2). Let c(h) = u*z(h) - 6*a(h). Determine c(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*q + 40*q + 27. Solve z = 3*j + 5*z - 3, 4*z = -j + q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 26*c + 270. Calculate j(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 19*o**3\/2 - o**2\/2 + o + 559. Let y(n) = 29*n. Calculate 2*s(k) - 5*y(k).\nAnswer: -31*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -10206, -1, -6 in increasing order.\nAnswer: -10206, -6, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(72\/(-30)))\/(20\/72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/5 (c) -5 (d) -1.62 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 24, 0.3, -4, 0.2, 284, 0?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -16706*d - 2305471. Calculate a(-138).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 - 6*u**2 - 2*u**2)*(3*u + 3*u - 5*u)*(-3 - 1 + 1) - 2*u**3 - 7*u**2 + 7*u**2 + (-2 + u**3 + 2)*(4 - 2 - 3) + 4*u + 2*u**3 - 4*u.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -y + 9, v - 1 = 57*y - 54*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**3 - 2*s**2 - s + 1. Let a be v(-2). Suppose -4*r + a + 9 = 0. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -468836744.3344 - -5.9?\nAnswer: -468836738.4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 0.3 (c) -0.04 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b9a (base 14) to base 16.\nAnswer: 8f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - -353c9?\nAnswer: 353b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274709, -549369, -824029?\nAnswer: -1098689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:38 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 19 = -3*f, 0 = -2*y + 10775 - 10767 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52.8 + -53. Which is the nearest to 1\/2? (a) -17 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q + 1. Let d(y) = 43*y + 0*y - 39*y. Calculate x(d(p)).\nAnswer: 36*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*n = 16, -9*n + 13*n + 8 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 9*g - 3*f + 6*f, -22*g + 6*g + 4*f - 90 = -11*g for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-3)\/(-30)*-115)*(-28)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2675\/154 + -205\/14. Let b(d) = -d**3 + 36*d**2 + 5*d - 176. Let h be b(36). Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -3*b**5\/20 + 11*b**4\/24 + 6*b**2. Let s = 9 - 5. Let p(d) = 5*d**2 - 6*d. Let a(h) = s*o(h) + 7*p(h). Factor a(w).\nAnswer: -w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62225\/12 or -5184?\nAnswer: -5184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -16537, 0, 2307 in decreasing order.\nAnswer: 2307, 0, -16537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 294, 317, 340?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161814 is divided by 4256.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -622595, -622612, -622677, -622814, -623047?\n\"Answer: -4*y**3 + 11*y - 622602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5141*g - 4826. Let f be z(-6). Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**4 + 3532*c**3*f + 159*c**2 + 7*f + 3950959 wrt c.\nAnswer: 4*c**3 + 10596*c**2*f + 318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -1 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2009 = 173*h - 124*h. Calculate the greatest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + -25 + 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -492*u**2 + 76*u. Let j(v) = -739*v**2 + 107*v. What is -7*g(s) + 5*j(s)?\nAnswer: -251*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 414013040.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -201819 * -30.8\nAnswer: 6216025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 30*c + 101. What is the units digit of g(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w - 23. Let x be z(-4). Suppose -4*u + 2 = x*o - 8, 4*o = -3*u + 7. Solve u*h = -2 + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 146*f**2 + 6*f - 7. Let k(v) = -148*v**2 - 5*v + 6. Give 5*g(y) + 6*k(y).\nAnswer: -158*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + (-2904)\/110)\/(161\/(-115)).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**2 + 5*a - 1. Let t be 0\/(4\/((-2)\/(-1))). Let l be b(t). Solve -20 - l = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2647 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from zogvimg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5 + 24*m**4 - 45*m**3 = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from ttttttttwtwttttwttwt.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(200)\/sqrt(5) - sqrt(40)) - sqrt(40) - sqrt(40))*1)\/((-4*-1*sqrt(15) + sqrt(15) + sqrt(15))\/(sqrt(24)\/sqrt(72))).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011100102010 (base 3) to base 11.\nAnswer: -1280475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(2\/11))\/(y**(-2)*y*y\/(y**(2\/17)*y)) assuming y is positive.\nAnswer: y**(175\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 328*n**2 - 12309*n - 300. Determine z(-362).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/569 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/3 - 1550*h**3\/3 - 1498*h**2\/3 + 38750*h\/3 + 12900 = 0.\nAnswer: -774, -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o + 5*t - 52 = 0, -4*o + 2*t - 154 = 0. Let i = o + 45. Let h(q) = -q + 11. Calculate h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6268 divided by 1?\nAnswer: -6268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 30074060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18903?\nAnswer: 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 6*b + 2*o = 25, 0 = -309*b + 314*b + 4*o - 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279469181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.622 + -0.608. Let o = -0.23 - j. Let m = 0.6 + -0.5. Which is the closest to m? (a) -8 (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967160028?\nAnswer: 2, 3, 23, 79, 44357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 12\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**4 + r**2 + 6. Let s(f) = 4*f**4 + f**2 + 5. Let d(p) = -6*s(p) + 5*z(p). What is the third derivative of d(l) wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**4 + 1473*r**3 + 121291*r**2.\nAnswer: -96*r + 8838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-2)*2\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2760)\/(-368)*(-7)\/(35\/(-16)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 103. What is the smallest value in 1\/2, s, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8353064316 divided by 6?\nAnswer: -1392177386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*2*sqrt(3) - -1*(sqrt(3) + -1))**2 - (sqrt(3) + -1 + -3 + -6*(sqrt(3) + 1)**2)).\nAnswer: -12*sqrt(3) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 135*n**2 - 793*n + 126382. Determine m(136).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 272\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 0*d**3 - 4*d**3 + (-2*d + 2*d**2 + 2*d)*(3*d - 4*d - d + (-2*d + 2 - 2)*(-2 + 3 + 1)).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2516)\/561)\/37*(-207)\/(-46)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*i - 6*j + 5*j, 25*i - 41*i + 25*j = -18*i + 118 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -4, 1753896 in decreasing order.\nAnswer: 1753896, 0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 1, 0.2, 4, -12, 5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 27695054 = 27695214 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21 + -12 + (-11605)\/1331 and 1\/319?\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(3\/13))\/o)\/o*o)\/(o*o\/((o\/o**(-2\/49))\/o))*(o\/(((o\/(o**23*o))\/o*o)\/o))\/(o*o\/(o*o**(-3\/4))*o) assuming o is positive.\nAnswer: o**(51113\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 10780237.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose -3*p = -g*p - 12. Suppose -10 = 5*f + p*h, f + h + 13 = -2*h. Solve -2 = f*k - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -235 - -257. Suppose -o*z - 83676 = -34*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 9*t**2 + 5*t + 2. Let k be -4 - 0\/((-8)\/2). Let l be j(k). What is the greatest common divisor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -7.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -274. What are the prime factors of p?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466678.22 rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 11*r**2 + 29*r + 97. Let s be x(-8). Solve -9*o - 48 = -s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 8*a**2 - 2*a - 1. Let r = -15 - -7. Let p be s(r). Suppose 5*f - p = 2*f. Let d(w) = -w**2 + 7*w - 2. Determine d(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-420)\/(-40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 172*b**5\/5 + 49*b**3 - 2*b + 174. What is the third derivative of k(v) wrt v?\nAnswer: 4128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i**4\/5 + 4*i**3 + 88*i**2\/5 - 208*i\/5 + 96\/5 = 0 for i.\nAnswer: -3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1245 - -1249. Which is the closest to 0.1? (a) 2\/5 (b) 0 (c) -1\/2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37498968 by -9.\nAnswer: -4166552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156063\/140 + -7821\/7. What is the common denominator of s and (-10)\/((-5)\/((-105)\/72))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 4. Determine g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0601 * 0.106\nAnswer: 0.0063706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2 + 5*f - 7. Let s(n) = -n**3 + 17*n**2 - n + 20. Let v be s(17). Let i be g(v). Let r = 102 - i. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8924420 and 420?\nAnswer: 187412820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 0, 4, -37, -1795, -5 in descending order.\nAnswer: 4, 0, -2, -5, -6, -37, -1795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 96 and 17.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/1245037 < -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 4 = 5*h. Let r be h\/(-12)*2*-3. Let b(n) = 7*n + 1. Let m(j) be the second derivative of 5*j**3\/3 + j**2\/2 + j. Calculate r*m(k) + 7*b(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/5))**33*(b**9\/b)\/(b*b\/b**(-7)) assuming b is positive.\nAnswer: b**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 12 (b) -2\/3 (c) -0.17 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -603 - -528.5. Round p to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.98 + -36.62. Let h = z - -38. Which is smaller: h or 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26809 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 3*g. Let x be a(-4). Let n be x\/(-7) - (2 - 0). Let w be (-4)\/(-10)*10\/n. Solve 3*z = 5*f + 8, 6 = 2*z - 3*f + w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -713536.7482 rounded to the nearest 10?\nAnswer: -713540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/164 (b) 11\/36 (c) 3 (d) -1.5 (e) -2 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 8*o**2 + 10. Let m be u(-3). Let j be ((-1)\/m)\/((-32)\/64). What is the smallest value in j, 1, 0.5, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 15*a**2 - 15857*a - 288103. What is f(1075)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1606986 and -11\/803493?\nAnswer: 1606986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 5*v + 76. Determine w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -163, -3, 2, 0 in descending order.\nAnswer: 2, 0, -5\/4, -3, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 - 84. Let j(b) = -b**2 + 2. What is j(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 + 3*d - 43. Is q(-11) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, o: 6, l: 7}. What is prob of picking 1 o and 2 l?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 365 - 363. Let z = -2993 + 32947\/11. Is y bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (1\/4)\/((-8)\/(-32)). Solve 13 = -p + x*p - 5*g, -p + 2*g = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 7*z**2 + 7*z - 7. Let c be n(-7). Let w = c - -102. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 20*z + 13*z = -2*m - 24, 182 = 2*z - 95*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 16*g - 10. Let u(z) = 3*z - 3. Let h be u(-3). Suppose 0 = -4*v + v + 60. Calculate the remainder when x(h) is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 675*r + 1354*r - 678*r + 33*r**2 + 18*r**2 in the form l + m*r + y*r**2 and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (37 + -53)*3\/(-2). Let x = -57 + q. Is -28 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*c + 38 = 0, 2348*c = -b + 2346*c + 3 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwjjwjjjjjjw. What is prob of sequence zjwj?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 3999.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 3*j**2 + 4*j - 4. Let o be c(2). Suppose -2*l - g - 2 = -3*g, -4*l + g = -o. Solve 4*d - 19 = -l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/10)\/((-2)\/10). Suppose -2*k + 4 = z + 2*k, 2*z - x = -3*k. Suppose -5*u + z*u = 0. Solve -c + 4 = -u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/15)*y*y**(1\/7)\/y*y*y*y*((y\/(y\/((y\/(y\/(y*y*y**(-1)\/y)*y))\/y)))\/y)**(6\/13) assuming y is positive.\nAnswer: y**(3583\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - ((24 + -10 - -17) + -74).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/828 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 20*u + 176 - u**2 + 7*u - 11. Let r be c(32). What is the greatest common factor of r and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 7, -6, 5 in ascending order.\nAnswer: -6, 5, 7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4900) + sqrt(4900) + 3*sqrt(4900) + sqrt(4900) - sqrt(196)\/(sqrt(28)\/sqrt(7)))\/(-6*(sqrt(196)\/(3*sqrt(7)) + sqrt(28))).\nAnswer: -59*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l**3 + 18*l**2 + 23*l - 5. Let q(u) = 7*u**3 - 10*u**2 - 11*u + 3. Calculate 4*m(g) + 7*q(g).\nAnswer: -3*g**3 + 2*g**2 + 15*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -27. Let k = q + 17.3. Which is smaller: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, y: 1}. Give prob of picking 2 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -194.85 - -4.45. What is a rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.57588 - 2.5397. Round x to 2 dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1404 - 1048. What is the highest common factor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 13*j**2 + 13*j + 14. Let z be l(-12). Suppose -242 = -z*x + 238. Let i = 384 - x. Calculate the remainder when i is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3 = 2*j - 7*j, d - 1 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 24. What is p(-13)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 + 255*p**2 + 525*p + 265 = 0. Calculate p.\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16 + 24*t**2 - 7*t**2 + 11*t**3 - 7 - 6*t. Let i(m) = 4*m**3 + 6*m**2 - 2*m - 8. What is -17*i(u) + 6*w(u)?\nAnswer: -2*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -827 + 7647?\nAnswer: 6720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1546 or 16993\/11?\nAnswer: 1546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-7) - (0 + -2). Let v(l) = -l**3 - 3*l**2 - 3*l - 1. Calculate the smallest common multiple of (5\/3)\/(h\/6) and v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 18*b + 2. Let m(n) be the second derivative of 9*n**3\/2 + 3*n**2\/2 - 8*n - 8. Calculate 5*m(d) - 7*w(d).\nAnswer: 9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211207149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 + 8*i + 4. Let o be r(8). Let k be (-136)\/12 - (6 - (31 + -14)). Which is the closest to k? (a) 3\/5 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 25*x**2 + 36*x**2 - 60*x**2. Let t(h) = 2*h - 4*h + 0*h. Give a(t(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 46*b**2 + 2205*b - 2241. Determine y(75).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -17*(1 - (7 - 5)). Solve 3*y + k = -4*m, 4*m - 4*y + 9 = -15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4 + (sqrt(117)*2 - sqrt(117)))*-1)**2 + -4.\nAnswer: 48*sqrt(13) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*f - 140*f - 5 - 2 + 7 + 0.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 13) to base 6.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 7\/11 (c) -0.0766 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868904569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59191*s**4 - s**2 + 14357?\nAnswer: -1420584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.329 * -26925\nAnswer: 8858.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9995022 by -555279.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 9, 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, q: 4}. Give prob of picking 2 p and 1 q.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = -15, -91600 = -4*l - 8*q. List the prime factors of l.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5 - 48*s**4 + 296*s**3 - 672*s**2 + 512*s = 0.\nAnswer: 0, 2, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01489168 - -51.\nAnswer: 51.01489168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10*d = -85. Suppose 4*o - d = 3*o. Let q(v) = v - 17. Let t be q(o). Solve 3*f - m = 0, -4*m = 5*f - t*f - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212566 (base 12) to base 9.\nAnswer: -875846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 763 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680807427.\nAnswer: 13, 129292879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 21*v + 29*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.454 * -0.006.\nAnswer: 0.032724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-8) + (-1)\/(-4). Suppose 3*c - 46 = -12*z + 11*z, 0 = -5*c - 5*z + 90. Let g = u - c. Put g, -4, -3 in increasing order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 439, -8.2, -1, -0.6 in decreasing order.\nAnswer: 439, -0.6, -1, -5, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-2))\/((-6)\/(-96)*6). Solve -r = -2, o*j = r + 7 + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {s: 2, n: 4, v: 2, t: 3, f: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3 - (-5 + 3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268654387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2518380 divided by 3292.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212 - -423\/2. Let r = 121.8 - 122. Which is the nearest to -2\/3? (a) r (b) -15 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, -146, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13 = -7. Suppose j*g - 8*g + 12 = 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -8, 1.9, -1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 494 + 247 - 1472*z.\nAnswer: -1472*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 16*u**2 - 60*u + 452. Let w be l(18). Solve w*d - 32*d = -72 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 + 8 = s, -45 = -4*s + c. Suppose 0 = -s*t + 8*t + 44. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-104*73\/(-3504)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-148)\/(-666)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2723, -5074, -7025, -8576, -9727, -10478?\n\"Answer: 200*z**2 - 2951*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Let z = -196 - -193. What is the nearest to z in -1, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 3, e: 4, m: 3, d: 4, p: 4}. What is prob of picking 1 m and 1 e?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -74\/15 (b) -2.3998 (c) 1 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 20*u**2 - u**2 + 0*u**2 - 8*u**2 to the form s*u + w + b*u**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 29*g + 11851 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18496*f - 425408. Give n(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26258 - -27137. Solve y*n = 886*n + 49 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 - 14*o + 1. Calculate a(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 0 - -1 - (-71)\/284. Sort -0.4, -2, b, -2\/7 in descending order.\nAnswer: b, -2\/7, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1523*z + 121*z - 122*z - 209300 = 296*z for z.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12730 + -2185. Does 57 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**5 + 6*o**4 - 25*o - 6. Let w(x) = -x**5 - x**4 + 1. Let s(h) = r(h) + 6*w(h). Find the second derivative of s(y) wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104883 is divided by 51273?\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k - 78 = -28*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -226, -8, 5, 11, 1 in increasing order.\nAnswer: -226, -8, -6, -2, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Let q(d) = 16*d + 10*d - 16*d + 13*d. Determine c(q(n)).\nAnswer: 1058*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -3. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465675 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4 - 7484*b**3 + b**2 - b + 6268 wrt b?\nAnswer: -48*b - 44904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -818, -892, -966, -1040, -1114?\n\"Answer: -74*d - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62 and 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1920222.167 to the nearest one thousand.\nAnswer: -1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x - 2317 + 2*x + 1145 + 1159. Determine g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 58911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 3*z**2 + 3*z**2 + 0*z**2 + 6 to the form j*z + s + y*z**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 21*f. Let a(x) = -64*x**2. Determine a(d(z)).\nAnswer: -28224*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7823.6390154 - -7824.289. Let b = -20 - -20.65. Let d = b - k. What is d rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/3 - 4*y**3\/3 - 16*y**2 - 44*y - 3. Let t(x) be the first derivative of w(x). Determine n, given that t(n) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 172 and 0.02.\nAnswer: 3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6246*d - 9 + 17 - 6)*(-2*d**2 + 2*d - 2*d).\nAnswer: 12492*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01668 from 47.\nAnswer: 47.01668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2 - 3 - 11*c + 14*c - 18*c. Let m be q(-1). Is 7 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121472319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5 - (9 - 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59090 and 4.\nAnswer: 118180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/24986 + -24993\/174902. Let y = 0.3 + 0. Which is the nearest to y? (a) 0.2 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251774.\nAnswer: 2, 125887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.005614041 + 33.\nAnswer: 26.994385959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 78709?\nAnswer: 78709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-563)\/84 + (-224)\/(-84)*(-12)\/24 + 8\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 13*n + 11. Let d be j(-13). Is 11 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99733*n - 1395 = -99702*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5, -10*r + 2*i + 14 = -7*r. Suppose 2*v + 2*v = b + 1656, 5*v - 2*b - 2070 = 0. Suppose 0 = r*a - v - 7742. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/6 - 5*g**3\/3 - g**2 - 6*g. What is the tens digit of d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100937449\/111 + -431830975763\/475080. Let y = -3053\/8 + m. Is -1 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*l - 190 + 638 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*l**3 - g*l - 58*g - 8*l**3 + 192*l**2 + 123*l - 1 wrt l.\nAnswer: 12*g*l - 48*l + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(0*h**2 - 2*h**2 - 3*h**2)*(3*h**2 + 8*h**2 - 2*h**2).\nAnswer: 45*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1200*a - 151*a**4 + 150*a**4 + 12634*a**3 - 12636*a**3 - 1 to the form m*a**4 + k*a + i*a**3 + j + p*a**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 74043*j**2. Let c(h) = -6*h. What is c(t(m))?\nAnswer: -444258*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 + 4*d + 4. Let i be m(-2). What is the greatest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7842.2 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(2\/(-12)*2). Suppose -4*c - 195 = -f*c. Suppose c = 3*t + 12. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (1 - 12\/4). Let n be d\/(-42)*-3*-7. Solve 3*s + 4*l + 7 = 0, -3*s + 0*s - 19 = -n*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116043121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 22*f**2 - 21*f - 1. Calculate c(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, 10 in decreasing order.\nAnswer: 10, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3\/3 + 4*q**2 - 110*q\/3 = 0?\nAnswer: -11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -5, 5, -1\/7, -1883, -0.02?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - 5*y**4\/12 + 21*y. What is s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*w, -34*f + 35*f = 2*w + 1648. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = 2*f, -f - 5*c + 23 = -4*f. Let s(t) = -t**3 - 5*t**2 + 5*t - 6. Let w be s(f). Let a = -8 - -14. Solve 3*g - a - 9 = w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, -0.4, -3 in descending order.\nAnswer: 5, -0.4, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62\/15 - 16\/120. Let t be (-45)\/39 - u\/(-26). What is the common denominator of 35\/12 and (-2)\/17 - (-2012)\/1496 - t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36723 = 58*v + 35853 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**5 - p**4 + 976*p**3 + 24407*p**2 wrt p?\nAnswer: 240*p**2 - 24*p + 5856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -150, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 118495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1409, -4, 1 in descending order.\nAnswer: 1409, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*h = 178*h - 96. Let b = 8 + -4. Let d = b - 1. What is the smallest common multiple of h and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.50000024. What is d rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 9\/6)\/(2\/(-12)). Which is the fourth biggest value? (a) s (b) 0.2 (c) 0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 590*w**2 + 93*w - 76. Is j(-7) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 2:32 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63749833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/15 (b) 55 (c) 0.2 (d) 4.3 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let o = f - 0.7. Let c = 0.8 - -0.2. Put o, 1\/2, c in descending order.\nAnswer: c, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 525, 0, 5.\nAnswer: 0, 2, 5, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -15309287 and -5.\nAnswer: -15309292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 + -114. Let m = 64 - s. Let o be 2\/(-11) + 2184\/(-330) + 7. Which is the second smallest value? (a) -4\/11 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-3)\/15*2. Suppose -5*q = 5*o - 0*o - 50, 3*q - 15 = 0. What is the second biggest value in b, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - s + w + 5, 3*s + w + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + w**3 + 2 + 11 + 13 to the form g*w**2 + r*w**3 + d*w + l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117339 or -117338?\nAnswer: -117338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 6*b - 12. Let u be t(-2). Factor 12*l**3 + 3*l**5 - 3335*l**u + 1664*l**4 + 1659*l**4.\nAnswer: 3*l**3*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-385)\/(-33)*132\/10. Let p be 108*2 + -1 + -2. Let m = p - n. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54, 102, 152, 204, 258, 314, 372?\n\"Answer: u**2 + 45*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2549965 and 4260.\nAnswer: 30599580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s**2 + 7*s - 6. Let m be u(1). Suppose -m*b = -12*b + 6. Solve -2*n - 3*c = b, -3*n + 23 = -4*c + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 0*h**2 + 6*h**2)*(0*h**2 + 0*h**2 - 2*h**3 + (4*h - 3*h + h)*(-2*h**2 + 0*h**2 - h**2)).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + 4 + 1 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = 11093 - 11219. Solve 583 = i*q + 592 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7730 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-28)*(-1 + 339\/(-9)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3, 2*d - d = 5*k + 177. Suppose -4*b + q + 53 - 14 = 0, q = -3. What is the units digit of 583\/b - k\/162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -6*u + 29. Suppose u*y - 5136 - 13853 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27727422857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.23978ml in litres?\nAnswer: 0.08623978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*r + 44 = 0. What is the remainder when 77 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(2420) + -4*sqrt(2420))**2.\nAnswer: 21780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffqq when four letters picked without replacement from fqqfff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 11 - 2. Suppose 4*s + j*k + 11 = 0, -3*s - 2*k = -5*k + 3. Which is the third smallest value? (a) 1\/3 (b) s (c) -0.3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26414929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(66)*1*-3)\/((3*sqrt(150) - sqrt(150))*3) + -1.\nAnswer: -1 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or 0.2831879?\nAnswer: 0.2831879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/136*(-8)\/(-610)*(-6)\/9?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-9)*9\/1. Suppose 173 + 673 = c*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146371 times 0.3?\nAnswer: -43911.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 + 199*w**2 + 150*w + 193. Calculate x(-49).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**4 + 9687634*b**3 + 80734731*b**2?\nAnswer: 144*b + 58125804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*v**2 + 12*v**2 + 8*v**2 - 96*v**2 - 19*v.\nAnswer: -3*v**2 - 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8602247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2694 = f + 3*g, 3*g = -3*f + 2724. Does 43 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 15*z**2 + 8*z + 28. Let i be v(-8). What is the highest common factor of i and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + z - 35, -5*k = -2*z - 73. Let p = -26 + 28. Solve -3 + k = p*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/60 + 4*v**5\/15 + 143*v**3\/6 + 52*v**2. Differentiate l(i) with respect to i.\nAnswer: -6*i**2 + 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4721*x = -2*v - 4726*x - 9, -4*x - 14 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 121132131340?\nAnswer: 121132131314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21832 - 21839. Suppose 3*s + 2*f - 8 = 0, -2*s = -4*s - f + 4. What are the prime factors of s - 3 - (-277 - r)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -77 (b) 2\/7 (c) -85 (d) -3\/8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2019669985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236\/2124*(297\/3)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from hxhwgxhwegnn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)*2\/4. Let i(g) = -g**2 + 6*g - 5. Let h be i(5). Determine r, given that 2\/7*r**2 + a*r - 2\/7*r**4 + 0*r**3 + h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-11))**(1\/30)*(m**(2\/9)\/m*m)**4\/(m**(1\/2)\/m*m**(-8)) assuming m is positive.\nAnswer: m**(169\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/20 + q**4\/6 + q**3\/3 + 3*q**2\/2 + 259*q. Suppose 0 = -4*r + r - 6. Calculate j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13915 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(56)\/(-2*(sqrt(8) - sqrt(8)*2)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015 = -74*q - 71*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 154 - -17?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2361 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 86880?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/870 and 71\/534.\nAnswer: 77430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2634.468 microseconds to minutes.\nAnswer: 0.0000439078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*1\/6 + 13\/(-15). Let y = 0 + 5. Sort -0.19, -0.3, b, y.\nAnswer: -0.3, b, -0.19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c - 6650 = 27*c. Which is smaller: c or 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -308, -435, -560?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**5\/5 + 51*a**4\/2 + 506*a**3 + 2645*a**2 - 1432. Factor t(c).\nAnswer: 2*c*(c + 5)*(c + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.339 * 0.004.\nAnswer: 0.001356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.63 - -0.37. Which is the nearest to 0? (a) s (b) -1\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6463, -6464, -6467, -6472, -6479?\nAnswer: -6488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 1:24 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -66*p + 1979. Give j(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 12*u**2 + 11*u + 1. Let z be b(11). Suppose -2*a + 4*f = -0*f - 104, -f - z = -4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 6. Let t be a(6). Let l be -2*(2 + 69\/(-6)). Suppose -2*k - l = -2*m - 5, -3 = k. Solve t*o + 20 = -m*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17))**31 assuming y is positive.\nAnswer: y**(-527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27579163 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14428.2+59943230\nAnswer: 59928801.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*o - 18, -2*y = -5*o - 7*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s - 49 = 25. Let c be (-4)\/2*2 + 2. Let j(p) = p. Let q(u) = -4*u + 2. Give c*j(g) + s*q(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-76)\/16)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -9*q + q. Suppose -23*f = -q*f - 20. Solve 2*b = -4*g + 8, 16 = -0*g + f*g + b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16588 is divided by 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71853480?\nAnswer: 2, 3, 5, 67, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 26. Let c(i) = -56*i - 4. Let h(u) = -19*u - 1. Let p(s) = -4*c(s) + 11*h(s). Let b(w) = 5*w + 2. Let l(t) = -11*b(t) + 4*p(t). Give l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5811, 1, -1, 0, -4 in decreasing order.\nAnswer: 5811, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1118 = 5*o + 2*y, -4*y = 2*o - 452. What is the common denominator of (-623)\/o + -1 + 5 and 15\/12*(-19)\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1197 + 1201. Solve u = -j*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 7. Let n(w) = 2*w + 5. Let m(h) = 5*f(h) + 7*n(h). Let o(q) = 6*q. Calculate m(o(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -80978 divided by -1?\nAnswer: 80978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5152*p + 15144. Give g(3).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737 - 311 - 6*l - 1 + 135 + l.\nAnswer: -5*l - 914","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5856 + 0.8.\nAnswer: -5855.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1251, 0.1, 2\/2487, 4, -2\/17, 2, 1?\nAnswer: 1251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.11 (c) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449236 is divided by 14467?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -63, 10, 0 in descending order.\nAnswer: 10, 3\/2, 0, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 831*y**4\/4 - 625*y - 1328. Differentiate l(w) wrt w.\nAnswer: 2493*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.019, 0, -5, 1\/8?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/48 - 526\/(-16). Let i = 61 - f. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 20\/7*a**3 + 4\/7*a**4 + 12\/7*a**2 - 36\/7*a.\nAnswer: 4*a*(a - 1)*(a + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16 = -6*l. What is the remainder when 49 is divided by 2\/l*40\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 29*n + 13. Calculate k(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 5522?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)\/(q*q**(-4\/9)))\/(q**(1\/4)*q**(-2\/9)))**(7\/8) assuming q is positive.\nAnswer: q**(-217\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -432 and -0.2438893?\nAnswer: 431.7561107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v + 264. Let x be k(-32). Suppose -q + 4*q = 9. Suppose n - 3*r = 19, -6*r - 6 = -q*r. What is the greatest common divisor of n and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -539005293*w**5 - 233810676*w.\nAnswer: -10780105860*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3366*r. Let k(p) = -3*p - 3346. Determine k(l(b)).\nAnswer: 10098*b - 3346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20250325, -20250324, -20250323, -20250322, -20250321, -20250320?\n\"Answer: o - 20250326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*d + 4102 = -5924 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, -4, 1, -1935, -16 in increasing order.\nAnswer: -1935, -16, -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.5, 1, 0.3 in increasing order.\nAnswer: -0.5, 1\/6, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34279)\/(-83) + -70)*(26\/(-14) - -2).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -3) + -51 + (101 - 57) + (-1 - -17).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v - 1\/2*v**2 - 2 + 3\/2*v**3.\nAnswer: (v - 2)*(v + 1)*(3*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2736 = 5*i + k - 2873, -i - k = -29 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -24.45, 8\/15.\nAnswer: -63, -24.45, 8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 30102000?\nAnswer: -30102003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 43874 = 43748 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g + 1. Suppose 3*i = -5*m - 1, 20*m - 7 = i + 25*m. What is the remainder when 9 - (g + 0 - 0) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 228\/144 + 4\/(-16). Which is the closest to -1\/2? (a) f (b) 1 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 29*t**3\/3 + 2*t**2 - 3*t + 6. Is n(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159417 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, 2*z - 2*v - 950 = -0*z. Let f(a) = -475*a**2 + a**3 - 4*a + z*a**2. What is f(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 12*g - 21. Let y be m(10). Let n(z) = -17*z - 3. List the prime factors of n(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116, 125, 136, 149?\n\"Answer: z**2 + 6*z + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/50*5\/(-2). Let c = -14\/3 + 577\/105. Let a = 3\/7 - c. What is the closest to -0.1 in s, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**2\/2 - 1266. Let a(n) be the third derivative of -1\/8*n**4 + 0 + 0*n + n**2 + 0*n**3. Determine y(a(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 88.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-7)\/(-39 - -4))\/(14756\/3185) and -8\/4743.\nAnswer: 18972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 799 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*sqrt(102)*-2 - 1*sqrt(102)*6))\/(6*((sqrt(18)*1)\/sqrt(3) + 6*sqrt(24)\/sqrt(4))).\nAnswer: 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/7 - 1368*n**2\/7 - 116964*n\/7.\nAnswer: -4*n*(n + 171)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 13 (c) -7 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8433588.923 - -8429038. Let o = f + 4526. Let m = 25 + o. Round m to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*m + 29, -3*f + 68 = -2*m + 44. Solve 8*v - 6 = f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 531762 and 1348?\nAnswer: 358407588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -18. Solve 2*q - 16 = -v*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 16. Suppose d + 39 = 3*w - z, w - 6 = -2*d. Let m be 7\/w + (-34)\/(-4). Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106655 and 216651?\nAnswer: 89910165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - -828049.7366173.\nAnswer: 828049.8466173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/20)\/((-90)\/(-40))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/20 + l**4\/3 + 7*l**3\/6 - 3*l**2 - l. Let y(t) = -2*t**3 - t**2 + 5*t + 3. Let s be y(-2). Determine r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 3171*o**5\/5 + 2126*o - 366. What is the first derivative of w(v) wrt v?\nAnswer: 12684*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m**2 - 51*m**2 + 105*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3, -9, 0 in ascending order.\nAnswer: -9, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*n + n**3 + 18*n + (-1 + 1 + 2*n)*(-2 + n + 2)*(-195 + 36*n + 195).\nAnswer: 73*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10412 - 2112. Round u to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/11010 and -145\/103494.\nAnswer: 517470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 30*a = 1045139 - 1045499, 5*t - 2*a + 24 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 = -48*f - 57*f + 33*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 + 6385*c - 134490840 = 0.\nAnswer: -5864, 4587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562227254 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose f = -f + 8. Let y be -1 + 2\/f - -1. What is the nearest to -2\/9 in y, 3, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5853?\nAnswer: 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*h + 28 = 2*s, 5*h + 45 = -3*s. Let l be 1*s\/(-4)*2. Solve -8 = -o + l*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-27 - (6 - 18 - 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66191 = -4985*j - 206529 - 59062 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -v + 245. What is the highest common factor of 132 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, 0.31, -34, -2 in increasing order.\nAnswer: -34, -4, -2, -0.2, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/35)\/(2\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.023, 0.3, 0.02.\nAnswer: -0.023, 0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 1. Suppose 2*p = p + 4. Suppose 3*q = p*q + 6. Let d be o(q). Solve -w - d = 3*l + l, -l = 3*w - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269.913 - 270. Let n = y + -0.913. What is the nearest to -3 in 2\/9, 13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1175, -1176, -1177?\n\"Answer: -r - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:08 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 628 - -0.1\nAnswer: 628.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282*b - 33*b - 199*b + 519*b**2 wrt b.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*q + 23 = -6*k, -3*k = -2*q + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uubu when four letters picked without replacement from ubfubulbubbuuubb?\nAnswer: 7\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 1, q: 1}. Give prob of sequence tjq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11064681 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 56406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -2. Let s = -84 - -84.43. Let x = 0.43 - s. Which is the smallest value? (a) y (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (165*v**3 - 40*v**3 + 74*v**3)*(3*v + 2*v - 4*v) in the form m*v**4 + n*v**3 + f*v**2 + l*v + y and give m.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23658958 is divided by 1143.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 106\/3 - (-2)\/3. Find the common denominator of -39\/10 and 4\/(-14)*(-2163)\/r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*w - 135*w = 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61596.55ng?\nAnswer: 0.00000006159655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/373919 and 37\/63.\nAnswer: 3365271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:22 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24608 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2162, 2132, 2090, 2042, 1994, 1952, 1922?\n\"Answer: l**3 - 12*l**2 - l + 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*s + 85. Suppose s - 4 = -n. Let x = -3 - n. What is the greatest common factor of 15 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10377665.9177 + 10379613. Let w = d + -1947. What is w rounded to 3 dps?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(-2*sqrt(12)) + (sqrt(2736)*2 - sqrt(2736)).\nAnswer: 23*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**3 - 5*n**2 - 9*n - 7. Let r(j) = j - 3 - 2*j**2 - 1005*j**3 + 1010*j**3 - 5*j. Give 4*l(a) - 9*r(a).\nAnswer: -a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let v(j) = -8*j - 10. What is -2*s(w) - v(w)?\nAnswer: 4*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 3, v: 1, k: 1, u: 1}. What is prob of sequence vl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4\/2 + 7020*x**3 + 140961*x**2\/2 - 612261*x + 1013040 = 0.\nAnswer: -16, 3, 4690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*f + 71*f + 68*f + 2 - 34*f**3 - 244*f.\nAnswer: -34*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42101320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263 - -262.9478. Let h = u - 0.0306. Let p = -0.09 - h. Round p to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -3*k - 3*j, 5*k + 1596*j - 137 = 1607*j for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 1 c when three letters picked without replacement from deeccereccecdceeecec?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:04 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211*o**4 - 4*o**2 - 3981*o wrt o.\nAnswer: 2532*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)\/r**(1\/2))**(1\/23) assuming r is positive.\nAnswer: r**(-5\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45794999.\nAnswer: 45794999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18668 divided by -359\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, -1\/5, -19, -199?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -10*y - 10. Which is greater: y or -27\/13?\nAnswer: -27\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*o**3 - 3*o**2 + 64*o**3 - o**3 + 23*o - 29*o in the form v + f*o + z*o**3 + a*o**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1620 or -1686?\nAnswer: -1620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**3 + 10*a**2 + 7*a + 7. Let v(r) = -2*r**3 + 3*r**2 + 2*r + 2. Calculate 4*h(x) - 14*v(x).\nAnswer: 4*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151 and 2416?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -152*s + 11402. Let u be w(75). Let h = -15 + 11. Let o be 3\/(9\/(-3)) - -7. Put h, u, 1, o in decreasing order.\nAnswer: o, u, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-11)\/11)\/((-4368)\/(-84))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 34*q**2 + 580*q + 6394. Calculate m(-11).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54296 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 132199?\nAnswer: 37\/132199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 - 3*o**4 + 2*o**4)*(-17 + 7 + 23470193*o - 23470855*o).\nAnswer: -1324*o**5 - 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9159106900 rounded to the nearest 1000000?\nAnswer: 9159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -2\/29 (c) -0.1 (d) -2\/7607\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 d when four letters picked without replacement from heddqqwdd?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 30747105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -4, -21, 5 in decreasing order.\nAnswer: 5, -3, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4411817 is divided by 53149.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*0.07\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3167 - -7427. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. Determine z, given that -2*z + 2*z**4 - 9*z**2 + 2*z**3 + 7*z**k + 0*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvnvunvuunvvduu. Give prob of sequence vdun.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 = -2*z. Let g(x) = -x**2 + 9*x - 7. Let y be g(z). Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - (sqrt(49) - (sqrt(49) + 2*sqrt(3969))) - sqrt(49))\/(sqrt(567)*-1 + sqrt(7)) + 4)**2.\nAnswer: -18*sqrt(7) + 823\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (10 + (-6 - ((0 - 7) + 4)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*k - 5*v + 23, -5*v = -3*k + 43. Which is the closest to -2\/7? (a) 1\/5 (b) -2\/5 (c) 0.4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.847*0.68\nAnswer: -4.65596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193275.\nAnswer: 3, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208)*-2*-6 - sqrt(208)) - sqrt(208))\/sqrt(4).\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55826.\nAnswer: 2, 103, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -8. Let d be (-6)\/27 + (-1663)\/9. Find the common denominator of d\/b*(-4)\/(-6) and -73\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Let x(r) = -c*r + r + r + 0*r. Let f(p) = 3*p**2. What is f(x(b))?\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/166 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30959082 and 4851.\nAnswer: 30959082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*z + 5*z - 5 = -4*n + 4*n, 3*z = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 4. Let u(r) = -r - 3. Let n(c) = -c - 5. Let w(i) = -3*n(i) + 6*u(i). Let l be (-22)\/(-77) - (-19)\/7. What is l*k(b) + 4*w(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 - 5320*j**3 + 11239*j**3 - 5580*j**3 to q*j**3 + c*j**2 + f*j + i and give q.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 3*v**5 + v**4 + 5*v**4 + 4*v**3 - 2*v**5.\nAnswer: 2*v**3*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.44798732 - 0.448. Round v to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 7 + 16 + 7 - 3*f + 6.\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 298.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2\/8 - 10\/(760\/(-817)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3035510380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -54) + -41 + 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(121)\/(1*sqrt(1331) + sqrt(1331))*-2 + -5.\nAnswer: -3 - sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 13*w + 1104 = 0. Let u = w - 261. What is the greatest common factor of u and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/46936 and 69\/110?\nAnswer: 2581480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awoayaauuoyyaoyyyuqw. What is prob of sequence qowa?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -20\/9, -86 in descending order.\nAnswer: 0.5, -20\/9, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13498*q**3*z**3 - 10*q**3*z**2 + 229*q**2*z**3 - 4*z**3 wrt q.\nAnswer: -80988*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.042 + -1.958. Which is the closest to -2? (a) v (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*4*(-3)\/9. Let v be 21\/14 + 6\/k. Solve v = -2*n - 8, -5*s = -2*n + 6 + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225745.\nAnswer: 5, 13, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*m = -10, l + 7 = m + 3*m. Suppose 2*k = -2*z - 2*k + 148, 0 = -l*z + 2*k + 310. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*-1*sqrt(1872)*-2)**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5246 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(13 - (-870)\/(-70))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from bbbbbbbbbbbt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 129, 525, 1191, 2133, 3357, 4869?\n\"Answer: p**3 + 129*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -47614.\nAnswer: -238070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 629*m**2 + 89608*m - 2304324.\nAnswer: -(m - 46)**2*(5*m + 1089)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 142194502223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 2*i**2 - 2*i + 1. Suppose f + 2 - 6 = n, 5*f = -5*n - 10. Let b be g(f). Let u = 23 - b. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -16*a - 429. Let w(u) = -4*u**2. Determine f(w(k)).\nAnswer: 64*k**2 - 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = -4*v. Let t be (-1)\/(6855\/(-1370) + v). Suppose h - 4*d = t - 73, 5*h = d + 1024. List the prime factors of h.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/30 - 3*p**2. Let k(u) = -17*u. Give g(k(y)).\nAnswer: -578*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9)*(-5 + (-1132)\/(-286)). Let z = -2\/143 - t. Let p = -11 - -16. Which is the closest to z? (a) p (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*t + 81*t + 40 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + ((-168)\/(-20) - -11) + -11.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008714 to the power of 1\/2, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85640 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: Collect the terms in -16*w + 12*w + 4*w - 281*w**2.\nAnswer: -281*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**3 + 7*w**2 + 7. Let n(q) = -4*q**3 + q**2 - 2*q + 3. Let s(j) = -5*j**3 - 3*j + 3. Let t(c) = 3*n(c) - 2*s(c). Give 3*p(r) - 7*t(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -23?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 33, 7.\nAnswer: 7, 33, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**3*s)**(-1\/27))**(-14))**7 assuming s is positive.\nAnswer: s**(490\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.703987km?\nAnswer: 703987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*m + 3601, -3*a - 2*a = -3*m + 2155. Calculate the greatest common divisor of 60 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -35. Let z(c) = -c**3 + 3*c**2 + c + 3. Give z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 - 2*f + 9. Let b be l(6). Let u be 8 + ((-6)\/1 - b). Suppose 13 = u*p - 2. What is the least common multiple of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 249543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153 + 278?\nAnswer: 40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and -1*(5 + -6)*(2 - -13).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26335 + 85312. What is the ten thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-15)\/4)\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 - 248*j**2 - 27391*j - 27142 = 0 for j.\nAnswer: -82, -1, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*1*(-1050000)\/7. Round h to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2583 and 31.\nAnswer: -8.0073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*w + 20, 3*w - 2*i - 8 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-804)\/10)\/(4\/(-10)). Suppose 3*o + 6 - m = 0. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1301*j + 72 = 1293*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m + 1300 = 223*m + 530 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 19428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70164 + -48706. Is 94 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2043358, 2043209, 2043060?\nAnswer: 2042911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*c + 455*c + 1445*c.\nAnswer: 1791*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50869 and 2437487.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. Let t = a + -7. What are the prime factors of (-2366)\/(-35) + t\/(-15)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 51 = -75. Let q = 48 + u. Calculate the highest common factor of 24 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 22*j**2 - 228*j - 1648. Give x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2061013\/300 + -6870. Sort -5, 2, -0.5, q in descending order.\nAnswer: 2, q, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -2\/5, 15.39127?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 57 = 3*x, 0 = -4*x - 4*i + 34 + 14. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-9)\/6 + 1). Let g(h) = -h**3 + 6*h**2 + 4. Let s be g(6). Suppose 2*p + 5*i + 0*i = 0, 0 = -2*p + 4*i - 18. Sort p, m, s in decreasing order.\nAnswer: s, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = 5*j, 2*f + j + 5 = -0*j. Let t be (-112)\/(-6)*(f - -8). Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93, -15, 63?\n\"Answer: 78*k - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276215419 to the nearest integer?\nAnswer: 16620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6793 is divided by 2255.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527042773?\nAnswer: 17959, 29347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:05 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 127 + 511. Suppose -4*l + 45 = -2*f + l, 5*f + 3*l + 97 = 0. Let y = f + n. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4\/2 + 1837*d**3\/2 + 223983*d**2\/2 + 8941239*d\/2 - 7443468.\nAnswer: (d + 123)**3*(5*d - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = 2*n, v + 2*v = -2*n. Let o = n + 33. Suppose -o + 6 = -m. Calculate the greatest common divisor of m and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 740887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 1. Let l be k(1). Suppose 0*m + l = m. Let x(g) = 7*g**3 - 6*g**2 + 6*g + 6. Let n(a) = -a**3 + a**2 - a - 1. Give m*x(v) + 6*n(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -165*q**4\/4 + 241*q**3 + 6*q**2 - 68. Differentiate b(j) wrt j.\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24741193?\nAnswer: 31, 467, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(240\/36)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -24 - 21 + y**3 - 6*y + 44 + 3*y. Determine w(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 10*(6\/(-5))\/(-3). Differentiate x*n - 3*n - 4 - 7 - 5 with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21*r**2. Let v = -4 + 3. Let u be 77\/35 + v\/5. Let j(t) = 4*t**u - 6*t**2 - t + t. Calculate b(j(f)).\nAnswer: 84*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(2*z**4 - 7*z**4 + 4*z**4 + (z - 2*z - z)*(-3*z + 2*z**3 + 3*z)).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r - 9. What are the prime factors of z(7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*j + 3 - 9, -j = -5*w + 7. Solve 7 = -j*h - 3*q - q, 0 = -5*h + q + 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 11:48 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*z + 38 = 2*k, 0 = 9*z - 4*z + 40 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(12)*2)\/sqrt(4).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000741045 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 1\/15*m**5 - 1\/60*m**6 + 0*m + 0 + 1\/12*m**4 - 10*m**2 - 2\/3*m**3. Factor v(a).\nAnswer: -2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1448406 and 49\/1448406.\nAnswer: 1448406","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -r. Let v(j) be the first derivative of 4*j**3\/3 - j**2 - 3*j + 333. Let q(u) = -4*u**2 + 2*u + 2. Give r*v(k) + 5*q(k).\nAnswer: -4*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + -1. Let b = 83.99 + m. Let h = 6.1 + b. Round h to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(11)*2)*-2 - ((sqrt(1331) - (sqrt(1331) + -1))*5)**2) + -3.\nAnswer: -36 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94320020?\nAnswer: 2, 5, 4716001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 24 = -5*i, 6 = -5*m + i - 18. Let y be 6\/m*4\/(-3). Find the second derivative of 3*w - w**2 - 9*w**2 + 11*w**y wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2758 + -1469. List the prime factors of n.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -15, -1\/6, 2\/319?\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11\/3, 28 in descending order.\nAnswer: 28, 11\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -317 (b) 0.4 (c) 0 (d) 4 (e) 0.5 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + (-1)\/4. Suppose -5*j + 0*j - 5*k + 10 = o, -3*j + 13 = -4*k. Let i be 2*j\/(-12)*-4. Solve 0 = i*l + w + 13, -6*w + 14 = -4*l - 4*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 4*k + 4*k - 3.\nAnswer: 7*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/253 and (9 - (-300)\/(-184))\/(60\/4)?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 1. Let b be n - (-1 + 1 + -82). Let u = b - 55. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 1 + 0 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 4*k - 60*b + 35*b + 29*b, -2*k - 5*b = -3*k + 44 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3511986455.43 and -0.1.\nAnswer: 3511986455.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 46. Suppose 0 = -4*s + 2*s. Suppose c - r - o = s, -2*r - 1 = 1. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 78 + 62 + 61 + 7*x - 257.\nAnswer: 7*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-5))**(1\/14))**(-44))**(-3\/2))**44 assuming f is positive.\nAnswer: f**(8712\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d**3*g**2 - d**3 - 10*d**2*g**2 - d**2*g + 6*g**2 + 320*g wrt g?\nAnswer: -22*d**3 - 20*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*f - 194, -t + 281699 = -2*f + 281513 for f.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 2 + 11*r**2 - 4*r**2 - 10*r**4 - 25*r**4 - 6*r**2 in the form s*r**4 + p*r**3 + b*r + y + k*r**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 7*m - 9. Let x be v(-7). Let y(u) = 2*u + 4. Determine y(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) -4\/9 (c) 0 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -9.7478.\nAnswer: -10.0478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 136780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 19*z - 10. Let y be d(7). Find the third derivative of -106*u**y - 3 + u - 2*u - 2*u**2 + 12 + u wrt u.\nAnswer: -2544*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1395308.\nAnswer: 1\/348827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-143)\/(-3) - (-6)\/(-9). Let z(i) = i**2 + 179*i + 2315. Let c be z(-14). What is the second smallest value in g, 3\/4, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(12\/7)\/(p\/p**(3\/7)))\/((p*p**18)\/p)**(-33) assuming p is positive.\nAnswer: p**(4166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 66 - 64 = 2*s, 38 = 2*s + 14*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8061 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1845)\/1230)\/((-27)\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19661 less than -18.5?\nAnswer: 19642.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-14)*175\/50. Suppose -f*z - 14 = -24. Suppose -4*m = -2*v - 12, -z*v - 3*v - 10 = 0. Calculate the least common multiple of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -274, -264, -248, -226?\n\"Answer: 3*u**2 + u - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221033322 (base 4) in base 10?\nAnswer: -2266106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 7*z - 7. Let l be y(5). Suppose 3*k = 7*k - 4*u - 20, k - 2*u = 7. Solve k - 9 = l*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 4*d = -60. What is the closest to d in -3\/8, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -826*u - 1578 + 1588 + 825*u + u**3 + 10*u**2. What is p(-11)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 8*n**2 - n + 14. Calculate c(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 97, 180, 273, 364, 441?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-1104)\/3220)\/(27\/(-546))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/18 + -2 + 0. Let m be 45\/(2\/(4\/o)). Calculate the highest common factor of 45 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k - 3. Suppose 24*m - 19*m = 2*g + 5, 5*g + 27 = -2*m. Calculate b(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-24 - (24 - (-25 - -52)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z - 57. Let g be o(7). Solve 2*s + g = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 - m**2 - 2*m + 2. Let c be n(1). Find the common denominator of -99\/26 and (c\/(-5))\/((-108)\/(-915)).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 10*l**2 + 51*l - 244. Determine y(12).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2691, -13764, -32235, -58104?\n\"Answer: -3699*n**2 + 24*n + 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74c - -5?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v + 1. Let q be o(-1). Let c be 48\/14 + 6\/q. Let d(n) = -26 + 11*n + 26 + c*n. Let s(k) = -2*k. Give d(s(m)).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 6) to base 7\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3828\/77)\/(4\/14). Let f = -2264\/13 + n. Let y = -0.73 - -6.73. Which is the second biggest value? (a) 4 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, n: 5, p: 7}. Give prob of sequence wnp.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7863097.\nAnswer: 11, 714827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*w. Let z(v) = 2*v + 3*v - w + 3. Does 6 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/23 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/168 and -4*1\/(-320)*-174.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from esfjsjsfxjjejtf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 - 1. Let x(o) = 18*o**3 - 2*o**2 + 4*o + 4. Give 4*m(c) + x(c).\nAnswer: 14*c**3 + 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/6 - o**3\/3 - 3*o**2\/2 + 4*o. Let k be h(3). Suppose 3*j = -0 + k. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12237\/5 (b) -2\/21 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 1, q: 1, j: 4, o: 2}. What is prob of picking 1 j and 2 i?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420440 + -4040404?\nAnswer: -10011344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + -5. Let s = -25.25 - t. Let y = -0.25 - s. Which is the second biggest value? (a) y (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*q - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5472 and 832.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 13*o - 3. Let b be z(13). Let m be 1*(4 + b + 0). What is the third smallest value in 2, 0.1, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/11)*m\/m**(3\/5))**(-34) assuming m is positive.\nAnswer: m**(-238\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1249521.71 + -1249511.6099866. Let i = -10.1 + n. Round i to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18325 - 17170. Calculate the greatest common divisor of w and 3630.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 4*c - 1. Let x be h(5). Suppose 5*v = 3*q + 207, 0 = -x*v + 4*q - q + 165. Which is bigger: 41 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776400 less than 4776397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 + 52*u - 88 = 0 for u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/32)\/((-2)\/8). Solve 4*f = -2*r + r - 13, -r + x*f - 1 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (40 - (33 - 25)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2))\/((-6)\/(-450)). Let m be t\/(-10)*(-138)\/(-5). Let i = m - 102. Calculate the highest common divisor of 42 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-68)\/7 + (-4)\/14. Let i = 86 - 86. Let g(o) = -15*o + 107. Let w be g(7). Put w, b, i in descending order.\nAnswer: w, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19749301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 6, t: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86852*r**4 + r**3 + 5*r + 332068.\nAnswer: 1042224*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48414*t**2 - 216102*t wrt t?\nAnswer: 96828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 596*d**3\/3 - 7*d**2\/2 - 18. Let o be f(-8). What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/((-115)\/(-60) - 2). Find the common denominator of n\/20 + -2 + 1582\/220 and (-2)\/6 - 13\/24.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(235\/50) + (-1)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -332?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 4, -2, 26, -73, 6, -3 in descending order.\nAnswer: 26, 6, 4, -2, -3, -44, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/144 - l**4\/3 + 4*l**2. Let q(n) be the second derivative of o(n). Let r(m) = 2*m**2. Determine r(q(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 981 - -350. Is 44 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -1794\/5 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105705 and 1620.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 842 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 627?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:10 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.1 (b) -928 (c) 352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*u = -114*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183960 and 5911248.\nAnswer: 88668720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13402\/(-4) - (-1)\/2. Let g = y + -142650. What is g rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8652 and 1632?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 2*a - 2*a**2 + 1\/3*a**3 - 2. What is h(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5530, -11062, -16594, -22126?\nAnswer: -27658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 420.2?\nAnswer: 7563.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 2. Calculate the remainder when -66*(-3)\/(z\/4) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 1768 = -16*r. Suppose -36*k + 4 + r = 0. Put 3, k, -5, 4 in decreasing order.\nAnswer: 4, 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -41*a**4\/4 - 5*a**3\/3 - 5*a**2\/2 - 2915. Let v(p) = p**3 + p**2 + p. Give g(y) + 5*v(y).\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*u - 770 + 1998, 3*j = 3*u + 891. Let l = u - -601. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 6*t + 1. Let u = 34 + -13. Let q = -13 + u. What is the smallest common multiple of q and y(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:19 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (537\/179 - (-5)\/3)\/((-70)\/(-21))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59403 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8*20\/(-8))\/1. Let h be -41*(b\/4)\/5. Let j = h - 39. Solve -j*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 11)*-6 - (-2 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*t - 10694 - 6824, t - s - 3506 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 + -2 + 4 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -8. Suppose 2*x = -2*j + j + b, -2*j + 6 = 0. Suppose 6*k - x*k - 4 = 0. Solve -2*p = 3 - k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 5*b + 79303. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -2293a0?\nAnswer: -2293a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2. Let r(a) = a + 22. Let j(x) = -2*r(x) - 22*z(x). Let t(q) be the third derivative of q**5\/12 - 7*q**2 + 3. What is j(t(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 16363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 46, -112, -2, -4, 6 in descending order.\nAnswer: 46, 6, 0, -2, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 4 - 3 + 0*j**3 + 3*j**2 - 3. Calculate h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:35 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 67*f**3 - 3*f**2 + f + 1. Let r be h(1). Let z = r - 27. Let w = 4\/1445 + -44831\/13005. Find the common denominator of w and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 115 (b) 4 (c) 2 (d) -1\/6 (e) -1\/4 (f) 2\/13 (g) -1987\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 + 1 - (-12 - -8) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + -5175614520.\nAnswer: -5175614520.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5\/4, 202.5.\nAnswer: -5\/4, -1, 202.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26167666 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen eighths of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 743*h + 6. Let d be s(-1). Let u(t) = 10*t - 77. Let z be u(-36). Let q = z - d. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 52 = 5*g, 2*n - 3*g - 122 + 150 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.6913 micrograms to kilograms.\nAnswer: 0.0000005816913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287108137 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253717 is divided by 1275.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7612521*m**2*r + 222975648*m**2 + 5*r wrt r.\nAnswer: -7612521*m**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1677, -1316, -957, -600, -245?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 82. What are the prime factors of (12\/30)\/(1\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**8\/1008 - d**7\/90 - 31*d**6\/360 + 7*d**5\/180 + 5*d**4\/12 - 186*d**2. Solve b(g) = 0.\nAnswer: -3, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**3 + 6*m - 6. Let z(l) = 2 + 1 - 3 + l**3 + 1 - l. Let k = 8 + -2. Let q be 4\/(-6) + 40\/k. Determine q*z(t) + o(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 5:20 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 84*z = -40*z - 6917757. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*a = 4, 3*a - 6 = 3*g - 0*g. Suppose -7*x + 3*w = -3*x + 13, 0 = -3*w + 9. Let n be 1\/(x\/(-1)) + -5. Is g less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*3)\/sqrt(7) + sqrt(45) - (sqrt(5) + -1 + 4)**2*2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 25. Let m be h - (3 + 0 + 0). Suppose -m = -o - 0*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 29. Let n = a - -10. Solve -m = -3*o + 14, 0*o - 4*m + n = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/13 (b) 6 (c) -15 (d) -14.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -57.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.035 + 0.035. Which is the closest to z? (a) -0.4 (b) 0.1 (c) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672020 divided by 10.\nAnswer: 67202","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 1829*o + 3675. Calculate j(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a + 1. What is i(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 20 = 0, 4*p + 5*a = 45567. Suppose p = 9*c + 2092. What are the prime factors of c?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15426485*c + 22409210?\nAnswer: -15426485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10340234 (base 5) to base 15.\nAnswer: -1ba49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22216 (base 9) in base 7?\nAnswer: 61011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/4 - c**2. Let z be s(7). Suppose 4*w = 5*h - 3 + 125, -3*h - 6 = 0. Calculate the highest common factor of w and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.5281628 to zero dps.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28284 divided by -6\nAnswer: 4714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47168804 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2448.036569\nAnswer: -2447.036569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 50473*h**2\/4 + 100949*h\/4 - 50475\/4.\nAnswer: -(h - 1)**2*(h + 50475)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n*t**4 + 13470*n*t**2 - 8*n*t - 703*n + 1 wrt t.\nAnswer: 36*n*t**2 + 26940*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w**(2\/11)\/w)**10*(w\/(w*w**(-2\/5))*w*w*w\/(w*w**(2\/3)))**(-11) assuming w is positive.\nAnswer: w**(-16046\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3066 - 803 + 1166 = 127*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 41*l - 208. What are the prime factors of b(19)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -51, -141, -277, -459, -687?\n\"Answer: -23*z**2 + 25*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -597 + 593. Does -19\/12 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -5 (b) 3\/388 (c) -3 (d) 1\/4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 3*o**2 - 3*o - 2. Let w be u(-2). Let v be 13\/(-5) + -1 - -4. Which is the closest to 0? (a) v (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxpppxx. Give prob of picking 3 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 41*m. Let f(r) = 53*r - 3. Determine f(y(p)).\nAnswer: -106*p**2 - 2173*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3629802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 959975 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9898*g**3 - 38706*g?\nAnswer: 59388*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - 1)*((-6)\/(-6) - 24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000597476264 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p - 13. Let q be x(-1). Solve -3*j = -q*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1791.7 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (484 - 380) + -20 + 11 + -12 + 4.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8851 (base 12) to base 8\nAnswer: 35275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 + 341140*w**2\/9 + 1616378176*w\/9 + 359178304\/9 = 0. What is w?\nAnswer: -9476, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.2851\nAnswer: -0.8553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 1015?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0403 - -0.174. What is k rounded to 3 decimal places?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/121 + 8197\/968. Find the common denominator of (-2)\/6 - (-692)\/24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/5, 3\/149, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -230, -942, -2122, -3764, -5862, -8410, -11402?\n\"Answer: q**3 - 240*q**2 + q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 667400384 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -1\/6, 1\/3, 5, -1.14, -889, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 - 3*r + 4. Suppose 14*j + 34 = -50. Let a be (-1*j\/(-12))\/((-5)\/(-60)). Calculate y(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6 + 13 - i**2 - 2 + 0. Give n(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13192572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1869680?\nAnswer: 1\/934840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-27)\/(-11)) - (-1 - 0).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z**2 + 5. Let u = 35 - 33. Suppose -u*m + 3*m + 6 = 0. Is x(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 9*j + 479 - 15*j - 3*j - 481. What is t(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 48, 89, 156, 255, 392, 573, 804?\n\"Answer: n**3 + 4*n**2 + 2*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8227\/18 - 1710487\/3744. Calculate the common denominator of h and -25\/1144.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/g)\/g**(-14)*(g**(-2\/11)*g)**(1\/6))**40 assuming g is positive.\nAnswer: g**(8420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 328, 9, 0 in descending order.\nAnswer: 328, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 + 1381\/7. Let x = 17 - 25. Let c = x - -7.5. Sort c, i, 4.\nAnswer: c, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 88 and 2421 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2)\/c)**(13\/2)*c\/(((c*(c**(-1)\/c)\/c)\/c*c)\/c)*c**6\/c)\/((c**(2\/11)*c**(1\/16)*c)\/(c**0\/c)**(2\/51)) assuming c is positive.\nAnswer: c**(10919\/8976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -9. Solve 4*u = -o + 5, -2*u - x*o + 25 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2566 = 217*u + 183*u + 35834 for u.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-16) - (-16155)\/72. Suppose -7*q - x = -196. Does -8\/3 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87358737 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 + 1637*l - 341 + 392*l + 169.\nAnswer: 2029*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3381*n - 37185. Let j be i(-11). Let -9\/2*s**2 + 0*s + j - 3\/2*s**3 = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171048 is divided by 125?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9472 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-120)\/18*(-95)\/10*54\/5 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440366.3 centuries to months.\nAnswer: 528439560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 4. Let y(q) = 4 + 44*q + q**2 + 47*q - 89*q. Let h be y(b). Solve 5*v = 4*z - 7, -2*v - 3*z = v - h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + o**2 + o - 1. What is the remainder when (-4)\/6*(-1 + -14) is divided by b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 2*h**3 + 6*h**3 + (2*h**2 - 6*h**2 + 3*h**2)*(10*h + 5*h - 9*h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.5, -39946800?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/2*((-230)\/(-20) - 11). What is the highest common divisor of u and 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-13) - (-50)\/13. Solve 5*d = 2*j + 14, t*j + 0*j = -3*d - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*y = 3, 5*y + 8 = -2*b + 29. Suppose 3 + 3 = b*j. Solve 2*m - j*t = -0*t, 0 = -5*m + 2*t - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 8. Let o be ((-14)\/(-8))\/((-1)\/(-4)). Let j be a(o). Let w = 25 - j. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7227310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*z + 48*z + 4*z - 19*z in the form c*z + p and give c.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1169, 1802, 2435, 3068?\n\"Answer: 633*b + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h. Suppose h = 3*f - 0*f + 9. Let t(b) = b**3 + 4*b**2 - 4*b + 4. What is the units digit of t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)\/q*((q*q*q\/(q\/((q*(q\/(q\/(q\/(q\/(q**(-3)\/q*q)))))\/q)\/q)))\/q)\/q*q*(q**(1\/4)\/q)**5 assuming q is positive.\nAnswer: q**(-147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 + 90*q**3 - 108*q**2 - 474*q - 279 = 0. Calculate q.\nAnswer: -31, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 - 15866*g - 1221584\/11.\nAnswer: -2*(g + 7)*(g + 87256)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -83778, 0.2 in increasing order.\nAnswer: -83778, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 60 - 85)*(278 - 278 + 3*a).\nAnswer: -696*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 0.5, 1\/8, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*n - 199 - 126 = -49*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (14 - 17)) + -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 18 = -5*d. Let o be (-4)\/(-18) - 4\/18. What is the remainder when (-3)\/(-6)*o - d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 1. Let j be r(1). Suppose 7 - j = 2*c. Suppose 3*m - 4 = 5*x + 66, -c*x - 90 = -5*m. What is the remainder when 44 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/6)\/((-4)\/(-690)).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(13)*3*6 + sqrt(13)*1 + -5 + sqrt(13) + (sqrt(130)*-2)\/sqrt(10))**2.\nAnswer: 1080*sqrt(13) + 50619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 9*l**2 - 8*l - 5. Let m be n(-10). Let u = m - -43. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -358940, -717882, -1076824, -1435766, -1794708?\n\"Answer: -358942*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 - h**2 + (-6 + 2 - 2)*(7*h - 7*h - 5*h**2))*(h**3 + 9*h**3 - 2*h**3).\nAnswer: 248*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 15389288.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106308 (base 10) to base 2.\nAnswer: 11001111101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 2*y**2 - 15*y + 7*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j - 175. Let v be p(19). What is the highest common factor of 80 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155890380 divided by 2.\nAnswer: -77945190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2*2)*-4*3\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35927 is divided by 589?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0 - 1 + z + 2. Let d be b(-11). Let m = 20 + d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8986, 8978, 8964, 8944?\nAnswer: 8918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126323 is divided by 593.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, 3, 0, -464.\nAnswer: -464, -5, -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Let u(o) be the first derivative of o + 1\/2*o**2 - 3. Determine u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 235?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 3*x**2 + 0*x**2)*(-4 + 4 + x**2) + 5*x**4 - 6*x**4 - 10*x**4.\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96\/145769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 918854 to the power of 1\/2, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghgg when four letters picked without replacement from ggghatw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 204, -38, 3, 1, -88, -2 in decreasing order.\nAnswer: 204, 3, 1, -2, -6, -38, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91541 + 4921270 = 247*p + 332106. What is the greatest common factor of 131 and p?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-4\/21)*i)\/(i**24*i*i) assuming i is positive.\nAnswer: i**(-487\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 23*v**4\/4 + v**3\/3 - 27*v**2 + 17*v - 6. Is s(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19.49 and -0.4?\nAnswer: 19.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16985634 to the nearest integer?\nAnswer: 4121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*p = -2 + 14, p = -2*d + 8. Let u = -10 - -12. Sort d, 3, u in increasing order.\nAnswer: u, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9781 - 1066 = -410*u + 223 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 8 + 5 + 14 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2729 - 291 + 88 = -842*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1368)*1)\/sqrt(2).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus 631558392350?\nAnswer: -631558392349.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**6\/60 + m**5\/60 - m**2\/2 + 1. Let u(b) be the second derivative of i(b). What is the third derivative of u(c) wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*d*h**2 + 2515960*d - 13*h**3 + 9*h**2 - 20*h wrt h?\nAnswer: 32*d*h - 39*h**2 + 18*h - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 404067 and 5362971?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18306 and 46896243.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - -6. Let t = 54 - 40. What is the remainder when s is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/24 + n**4\/8 - n**3\/6 - n**2. Let u be y(2). Suppose 1953 + 117 = 69*r. Calculate the greatest common factor of r and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2940 = 167*t - 377*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -303 - -260.8. Let c = b + 40.2. What is the closest to 2\/11 in c, -0.9, -1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17380?\nAnswer: 2, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5)*530*-1. Let l(k) = k**3 - 4*k**2 - 15*k + 9. Let z be l(10). Let t = z - i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**3\/3 - w**2\/2 + 144*w - 3. Let f be n(0). Calculate the highest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35354 divided by -1?\nAnswer: -35354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6004 >= -6063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -391.\nAnswer: 5\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g - 60. Suppose 756*q - 65 = 730*q - 13. What is the first derivative of 8*s**2 - 20*s**q - 23 - g*s**2 + 7*s**2 wrt s?\nAnswer: -50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1080))\/((sqrt(48)\/sqrt(8)*1 - sqrt(6)) + sqrt(6))*1.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 18?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 <= -1035374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huqh when four letters picked without replacement from pqqpqqqpqqhqpuqhjpqq.\nAnswer: 11\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 4*i = 8, 2*i = -4*f + 8. Solve 3*q + f*l - 21 = 0, 5*l = q - 0*l + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -33 + (16 - 20 - 23)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137 and 506489.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 386\/16 + (-5)\/(43 - 3). Let t be -3*((-160)\/f)\/1. Solve 2*y + m = 5 + 3, -t = -5*y + 4*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -29*s**2 + 21*s + 31. Let u(f) = -29*f**2 + 21*f + 31. Let k(z) = 4*u(z) - 5*x(z). Is k(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140562932.\nAnswer: 2, 2179, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 79681003.71.\nAnswer: -79681003.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*o**3 + 9*f**3*o - 11344053*f**2*o**3 + 1146595*f**2*o**2 - 2*f*o wrt o.\nAnswer: 6*f**3 - 68064318*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165328 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-6) + 2\/(-12). What is the tens digit of (2 + -3 - r)*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 5751?\nAnswer: -574b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 88983281 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = 2*y. Suppose j - y = -2, 3*j = 3*r. Solve -3 = -2*m - r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 66. Let z(q) = q - 13. Let y(u) = -3*m(u) + 16*z(u). Let d be y(-7). Factor 0 + 8\/9*g**d + 4\/9*g**2 - 14\/9*g**3 + 2\/9*g.\nAnswer: 2*g*(g - 1)**2*(4*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271275, 542550, 813825, 1085100?\nAnswer: 1356375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*u*w - 423720*n*u + 29*n*w - u*w + u - 3*w + 1041185 with respect to n.\nAnswer: -u*w - 423720*u + 29*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + sqrt(300) + 5 + sqrt(300)*-3)*4 + (sqrt(108) + 4)*3)**2.\nAnswer: -1408*sqrt(3) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and 16.72.\nAnswer: 42.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657109 is divided by 77.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.72 + -0.73. Let u = k - -0.009706. What is u rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-20)*272\/(-170)*50\/(-1080)\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose -4*y = -5*u + 5, u + o*y + 13 = -0*y. Let k = -1 - u. Solve l + 1 = -k*g, 0 = -0*l + 2*l - 3*g + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(15\/2*13\/((-455)\/(-14)))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/1)\/((140\/7)\/5).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-2 - 1)) + 3 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 465813, 931633, 1397449, 1863261?\n\"Answer: -2*k**2 + 465826*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.183 + -4.273. Let l = 5\/18 - -2\/9. Which is the second smallest value? (a) l (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -312 - -464. Let a be (-4 + 5)\/((-2)\/(-6)). Suppose -841 = -a*n + p. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2*a**2 - 2*a**2)*(0 + 5 - 2)*(2 - 3 + 3).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 6 - 10. Suppose 448 = r*z + 3*g - 52, -5*g = -5*z + 1275. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/(-1)*139\/(-417)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 6. Let k(u) = -3*u + 3. Let o be k(l). Suppose -2*s + 7*s - o = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 + -433?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5006726, 10013475, 15020226, 20026979, 25033734, 30040491?\n\"Answer: w**2 + 5006746*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101102 is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Let w = -3 + -5. Let n be 4\/(-3) + w\/12. Which is the nearest to -2\/5? (a) 1 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(968) - sqrt(968)*-1) + (-2*sqrt(968)*-1 - sqrt(968)) + sqrt(968))\/(-6*sqrt(12)\/sqrt(3) - (sqrt(64) - 2*sqrt(64))).\nAnswer: -66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 211684.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 5*o\/4 - 3\/2.\nAnswer: (o - 6)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 22201*u**2 - 14*u - 14. Let x(p) = 7400*p**2 - 4*p - 4. Determine -6*w(b) + 21*x(b).\nAnswer: 22194*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0) + 178\/2. Let o = -203 + l. Does 22 divide -2 + (1 - o) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 6\/11, -245.88, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19783 and -213.62.\nAnswer: -19996.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58169 is divided by 277?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z - 19. Let t be -2 - z - (2 + -1). Let v(i) = i**3 + i**2 - i + 18. What is the units digit of v(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.044162073\nAnswer: -0.0132486219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 - 42. Calculate the remainder when z is divided by 12\/(-18) + (-106)\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 328, -2\/5, 3, -1, -2 in increasing order.\nAnswer: -2, -1, -2\/5, 3, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 - 5*z - 4. Let s be t(5). Let i = 13 - 6. Let r = s + i. Solve n = -2*b - 8, b - 10 = 2*n + r*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/12 - 5*h**3\/6 + 3*h**2\/2 + 15*h. Determine n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 9\/2*m**5 + 0*m + 8*m**4 + 0 + 5\/2*m**3.\nAnswer: m**2*(m + 1)**2*(9*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 947124, 947116, 947108, 947100, 947092?\nAnswer: 947084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 563258440 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*a*d**3 + 21*a*d*r**2 + 2*a*d - a*r**2 + 771*a*r wrt d.\nAnswer: -189*a*d**2 + 21*a*r**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r**3 - 5*r**2 - 4*r. Let m(k) = -12*k**3 + 6*k**2 + 5*k. Give 5*m(o) + 6*p(o).\nAnswer: 18*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - l + 41. Let v be n(0). Suppose -33 - v = -2*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2. Let s be c(4). Suppose 5*m + m - 36 = s. Suppose 3*p + 4*r + 245 = m*p, 5*p - 2*r = 427. Round p to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49040 - -e?\nAnswer: 4904e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4706481895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 61744?\nAnswer: 123488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 8*z**2 - 8*z + 1. Let n be (2\/(-3))\/((-2)\/21). What is g(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431360 is divided by 1451?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.70846 to 2 decimal places.\nAnswer: -3.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3573 is divided by 705.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/35)\/((-12)\/(-45)) - (-9 - -2)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/3, -2\/3, -2\/97, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*((-210)\/30)\/14*3\/(-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m*m**(4\/9)*m)*m**(2\/5)*m\/m**(-1)*m*(((m*m*(m**(12\/5)*m*m)\/m*m*m)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(286\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5665 - 5664.8. Which is bigger: n or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -318270 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 126 = 8*s, 9*u + 99 = 3*s + 129 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 2*d + 1. Let r(m) = -m**2 - 1. Let s(a) = -2*b(a) - 3*r(a). Let y be ((-6)\/(-9))\/1*12. Let o = 11 - y. Give s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = -13. Sort t, -3, 0.\nAnswer: -3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/5)*c**(2\/9)*(c\/((c*c**(-1\/4)*c)\/c))**(-4\/25))**19 assuming c is positive.\nAnswer: c**(-5206\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 22. Suppose 5*q = -11 - 4, -2*l = q + p. Sort l, 7, -4 in increasing order.\nAnswer: l, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106128 divided by -201\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -7. Suppose 0 = 5*u + 6*x - x - 5, -5*u + 3*x + 37 = 0. Suppose 2*s - 2 + u = -p, 5*s = -10. Sort p, v, -3.\nAnswer: v, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/81 and -85\/2.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - k)*(k**2 - k**2 - k**3) - 3*k**4 - 2*k**4 + 4*k**4 + (k**3 - 4*k**3 + 2*k**3)*(-2*k - k + 5*k) + k**4 + 0*k**4 + 0*k**4.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*z**4 - 16*z**4 - 17*z**4 - 13*z**2 - 3*z**3 + 2*z**3 - 1 to g + v*z**2 + m*z + u*z**4 + c*z**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 894683 + -895091.169. Let c = 408 + t. What is c rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiiioaao. Give prob of sequence ooia.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39028 is divided by 1851?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.76194 rounded to two decimal places?\nAnswer: -2.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 37*g**2 - 42*g - 2037. Give y(34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.34? (a) -3 (b) 10 (c) 2 (d) -3\/253\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1296 + -28547\/22. Calculate the common denominator of i and (78\/(-135))\/13*-3 + 749\/(-30).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -3 + -25 + 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70731, -70731, -70733, -70737, -70743, -70751?\n\"Answer: -a**2 + 3*a - 70733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -275437252.7 rounded to the nearest one million?\nAnswer: -275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 2 - 31*n - 20*n + n. Let q be v(2). Let y be q\/(-22) - (-20)\/110. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17799 is divided by 186.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 509986 and -0.024?\nAnswer: 509986.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -4*l + 307. Calculate the least common multiple of l and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1418514.\nAnswer: 4255542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/12*(-20)\/(-14). Suppose 4*j + j = l*g - 30, -3*j - 11 = -2*g. What is the remainder when 47 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 1, z: 2}. What is prob of picking 2 z and 2 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1344442212 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuauswuuuuuuauuws. What is prob of sequence ssu?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-10))\/(24\/20 + -1). Is -14251*(y - (-7 + 6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -23*g**2 + 5*g + 42. Let h be n(3). What is the closest to h in -2\/7, -2\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 140.2?\nAnswer: 144.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5012*m**3 - 2716*m**2 - 3 wrt m.\nAnswer: -30072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and ((-21)\/(-2) - 0)*(-8)\/(-3).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -16 - 18 - p - 23 - 20. Let g(d) = -2*d. What is g(y(c))?\nAnswer: 2*c + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5119*w**2 + 7*w - 2. Let k(q) = -2559*q**2 - 4*q + 1. Let i(l) = 4*h(l) + 7*k(l). Let v be i(-1). List the prime factors of (-4)\/26 - v\/(-91).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {l: 3, h: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100102102011222 (base 3) to base 5.\nAnswer: 2240221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 11 + 27*b**2 + 58*b**2 + 5 + b to the form a*b**2 + g + i*b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 26 - (-4 - -3)) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -1\/6*h**4 + 1\/30*h**5 + 0*h**3 + 0 + 0*h - h**2. Suppose s(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + -0.8. Let m = -2.4 - l. Which is the nearest to -0.1? (a) m (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 579 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**5 + 2*i**4 - 2*i**3 - 4*i**2 + 7. Let r(s) = 2*s**5 + 0 - 5 + 3*s**2 + s**4 + s**3 + 2*s**4 - 4*s**4. Let v(a) = 5*f(a) + 7*r(a). Factor v(j).\nAnswer: -j**2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -342*y**2 - 165*y**2 - 237*y**2 + 1311 - 109*y**2 + 2*y wrt y?\nAnswer: -1706*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, -6\/11, -1\/2, 0.06 in ascending order.\nAnswer: -544, -6\/11, -1\/2, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 3, l: 1, f: 5}. Give prob of sequence fl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.007 and 0.2.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1 + 2*l + 0 + 1. Let a be q(-2). What is the common denominator of -143\/12 and a - -21*(-3)\/(-48)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-810)\/108*((-1)\/3 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5507506?\nAnswer: 2, 29, 269, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2530489, 1 in descending order.\nAnswer: 1, -3, -2530489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2776.23 millennia?\nAnswer: 277623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -c4 (base 13) in base 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t - 1. Let u be f(-3). Let m(b) = -17*b + 1. Let g be m(-1). Let i = g - 10. What is the greatest common divisor of u and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - 2*x**3 + 0*x**3 + (-5*x + x + 5*x + (-4 + 3 - 1)*(x + 2 - 2) + 3*x + 0*x + 3*x)*(-1 - x**2 + 1).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/60 + r**3\/6 + 5*r**2. List the prime factors of b(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.35. Let r = 140 + -139.5. What is the closest to 0.2 in r, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7.3. Let g(h) = -2*h - 3. Let w be g(-3). Let b = 7 + -8. Sort w, b, m in decreasing order.\nAnswer: w, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26601*-214.\nAnswer: -5692614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7815772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 + 2*q**2 - q - 1. Suppose 2*p + 3*w = 10, 0 = p + p + 5*w - 14. Let k = 4 - p. What is the remainder when o(k) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/41 (b) -4 (c) -3\/5 (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 451\/15 + 57\/19665*-23\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 3*j - 101 = 0, 4*p - 23 = 2*j + 41 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57679.9201 less than 2380?\nAnswer: -55299.9201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b + 2*b**5 - b**5 + b**2 - b**2 + (-79*b**4 + 9*b**5 + 79*b**4)*(-2 - 2 + 5).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*p**2 - p**4 + 26*p**2 + 6*p**3 + (4*p**2 - p**2 - p**2)*(2 - 2 - p**2) to o + y*p + m*p**3 + i*p**2 + t*p**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - a + 135*a + 23*a - 15*a + 3 to k*a + p*a**2 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwddddddddddddddw. What is prob of sequence wd?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**2 - 11 - 15*t - 19*t**2 + 10*t**2. List the prime factors of y(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/21*1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -581744.191 + 581326. Let r = 642 - 1060. Let g = r - o. Round g to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5786321 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40*(16\/20)\/(-2). Let b = 1 - w. Suppose -36 = -4*v + 712. What is the greatest common divisor of b and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 47 - (74 + -52).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 1 = c, c + 4 - 5 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182.61 at least 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264074, 528124, 792172, 1056218, 1320262?\nAnswer: 1584304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)\/(y*y**(-5))*(y**(-1)\/y)**46*((y\/(y*y\/y**(-9))*y)\/(y*y**(-6\/7)*y))**(-23) assuming y is positive.\nAnswer: y**(996\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16859?\nAnswer: 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.22, 25\/14, -380, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the closest to 2\/7 in 43\/2590, -4\/3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -364.491 - -0.491. Let y = d - -549. Is 2 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z = 4070 - 3994 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 304831 and 13.49?\nAnswer: 4112170.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 314106299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -3*k**5\/20 - 7*k**4\/12 - 11*k**3\/6 - 8*k**2 + 9*k + 3. Let s(m) be the first derivative of t(m). Is s(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2 - 277. Let g(o) = 2*o. What is g(w(i))?\nAnswer: -14*i**2 - 554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 3*c**2 + 4*c + (-2*c + 4*c + 0*c)*(-c - 3 + 3))*(5*c + 7*c - 13*c)*(-2*c - 11*c + 2*c + 1) + (-c - 3*c + 2*c)*(2*c**3 - 4*c**3 + 4*c**3).\nAnswer: -59*c**4 + 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*194.6\nAnswer: -19.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121201764 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 855, 1901, 3183, 4707, 6479?\nAnswer: 8505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 - 11)*(-40*m**2 + 40*m**2 - 5*m**3) in the form i + a*m**3 + c*m**2 + z*m and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*h**3 + 26 - 20.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-150)*(-95)\/(-57)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11889802*s - 1083237 with respect to s.\nAnswer: 11889802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10664098219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwf when three letters picked without replacement from {p: 5, f: 8, o: 1, w: 2, v: 2}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 + -1.05. Let b = f + -2. What is b rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 69. Suppose 0 = -5*a + n*q - 12*q + 49, 2*a = 4*q + 10. Is a less than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzyzxzzyzytzzyyyzzt. What is prob of picking 1 y, 1 t, and 1 z?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*a*s*z - a*z + 10*a + 5*s with respect to z.\nAnswer: -28*a*s - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1724.97 - 1725. Let n = -4 + 8. Which is the closest to o? (a) n (b) -1 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1344 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 3 + 455460*a + 3 - 486*a**2 + 486*a**2 - a**3 - 455469*a.\nAnswer: 2*a**3 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (0 - -6 - 9)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/9, -428, -2, 5, -5\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 + 9*l + 10. Let m be s(-9). Suppose -2*y = -m, 0 = -5*d - 0*y - 3*y + 105. Calculate the highest common factor of d and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 2:19 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 10 (b) -0.02 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkqjkkkdqk. What is prob of sequence kdkk?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61789329 by 980783.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -149479512 divided by -11498424\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56.99 - -60.99. Let h = 0.35 - 0.56. Which is the closest to -1? (a) 0 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 50 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -2. Let k be p\/3*(-3)\/(-2). Let n(f) = -f**2 + 6*f - 2. Let o be n(5). Sort o, 5, k in decreasing order.\nAnswer: 5, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138763053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 292373 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.3 + -7. Let c = -2.05 + 0.05. Let k = c - 2. What is the nearest to 0.2 in -5, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n - 12. List the prime factors of y(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 19*c**4\/2 + 6*c**3 + 4647*c**2\/2 - 3641. What is the second derivative of b(r) wrt r?\nAnswer: 228*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*x - 102*x + 14*x.\nAnswer: -177*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041238 to three decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is db459 + 143?\nAnswer: db59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479689.\nAnswer: 7, 17, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29841?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 6:06 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.861314739 to two decimal places.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.0554 milliseconds to microseconds.\nAnswer: 124055.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 7*z + 24. Let u be k(5). Suppose 2*o = u + 54. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/3, 0.1, -0.93.\nAnswer: -0.93, 0.1, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -5*y**7\/14 + y**6\/30 + y**3\/3 - 2*y**2 - 48*y + 1. What is the second derivative of n(o) wrt o?\nAnswer: -300*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191742, -192376, -193010, -193644, -194278, -194912?\nAnswer: -195546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 2*u - 2. Suppose 15*p = 17*p + 2*r - 2, -p + r - 5 = 0. Give q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and (1 - 333\/18)*(-80)\/7.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69.9? (a) -3 (b) -2 (c) 4 (d) -9\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5345?\nAnswer: 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.13 in -3, -0.3, 0.045?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -5 - 31 - (-7 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 - 4)*(-2*v**2 + 1 - 1) + (-3*v + 3*v - v)*(2*v - 4*v + 4*v) - 4*v**2 + 6*v**2 + 20*v**2)*(-4 - 2*v**2 + 4).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**7\/1890 - m**5\/270 - 26*m**3\/3 - 7. Let i(k) be the third derivative of j(k). Factor i(q).\nAnswer: 4*q*(q - 1)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 43. Let o(q) = 15*q. Determine l(o(b)).\nAnswer: -30*b - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 156, 148, 138, 126?\n\"Answer: -a**2 - 5*a + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766*b = -765*b + 2. Is (-4)\/(40\/(-49815)) - b\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 548674805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 4*v + 19. Give f(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, 186 in decreasing order.\nAnswer: 186, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 <= -1.304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*m - 447*m = -486. Calculate the greatest common factor of 216 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-2 + 7 + (-8 - 4)) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 56460723.8 to the nearest one thousand.\nAnswer: 56461000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, p: 2, i: 4, t: 4, m: 7}. What is prob of picking 1 p, 2 t, and 1 i?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k + 161. Let h be g(24). Put 0, h, 1 in ascending order.\nAnswer: 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372*f**3 + 2*f**2 - 2816*f wrt f?\nAnswer: 2232*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2 + 225930*l + 451864 = 0?\nAnswer: -2, 225932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115, -234, -355, -478?\n\"Answer: -m**2 - 116*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in 0.3, -2, 1, 3\/76, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 133\/14 + (-6)\/4. Let b = v - -59. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198 + 1?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*58.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 31 = 4*p, 13 = 5*p - j - 10. Suppose 0 = x - 3*x + p. What is the tens digit of (36 - 1)*x\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*(sqrt(700)*2 + -4) - (sqrt(700)*-2 + -2 - sqrt(700) - (-1 + -1 + sqrt(700)))))**2.\nAnswer: -8960*sqrt(7) + 179984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555543?\nAnswer: 11, 141413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (2 + 7 + -20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdk when three letters picked without replacement from hkkkkkkkdkkkkkk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 9. Suppose 0 = -x - b*w + 2*w + 8, 4*w + 28 = 5*x. Suppose 0 = y - x*y + 18. Calculate the remainder when 16 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2 + 1936*p + 27319. Give g(-14).\nAnswer: -1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 649*d + 2855 wrt d?\nAnswer: 649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*j = 54, 5*o + 3*j + 57 = 7*j. Let p = o + 14. What is the second derivative of -2*u**5 + 2*u + 0*u + 0*u**p wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-435*z - 93165*z**2 - 171*z + 93177*z**2) in the form f + d*z + w*z**2 and give d.\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5568672195.\nAnswer: 3, 5, 251, 493021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*k - 92*k + 2720 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l = -35*l, -5*d - 20 = 2*l. Put 13, -10, -3, 2, d in decreasing order.\nAnswer: 13, 2, -3, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*z + t - 9, -2*t = 4. Let r = -355 - -357. Sort r, 0, z in ascending order.\nAnswer: z, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 134. Let o(v) = -v**3 - 8*v**2 + 13*v + 3. What is the tens digit of o(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385*m = 1266*m - 119 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -160 - -4?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7529*c*x**4 - 3634854*c + 86*x**4 wrt x.\nAnswer: 30116*c*x**3 + 344*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 12*l + 4*l**2 - 4*l**2.\nAnswer: -2*l*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*f**3 + 135*f**2 + 35 wrt f?\nAnswer: -15*f**2 + 270*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-5) - 15\/(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4 - 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-1\/4)*q))\/q)**(-2\/127)\/(q**(-1\/9)\/q**(1\/19)))**(-1\/12) assuming q is positive.\nAnswer: q**(-7625\/521208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2192 - 2b?\nAnswer: -21bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186224 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*s = -8, -9*u = -7*u + 2*s + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 51?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**2))**(-17)*(s**(-2\/9))**(-14))**(-9) assuming s is positive.\nAnswer: s**(-334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m + 1 - 2*m**3 + 7 - 2 - 3 + 13*m in the form v*m**3 + p + b*m + t*m**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)\/o**(-2\/5))\/(o**(-1)\/o)**(17\/2))\/(o**0*o*o**(-2\/13)*o**(4\/7)\/o*o**(-2)\/o) assuming o is positive.\nAnswer: o**(27731\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + 47*w**3 - 47*w**3 + 3*w**2 - 3*w**4. Let y(d) = 9*d**4 - 8*d**2 + 10*d. Let m(s) = 8*f(s) + 3*y(s). Find the second derivative of m(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 7*m**2 + 4*m - 47. Let d be v(7). Let r = d - -11. Put -4, r, -5 in ascending order.\nAnswer: r, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38294881507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 8:13 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -475 in -0.2, 0.1, 41\/2545, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*d - 0*d - 10, 5*d + 25 = -4*p. Let y be 22\/4 - ((-21)\/(-6))\/7. Suppose -4*r = -s - 63, -y*r + p*s - 4*s = -63. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99986*h + 99992*h + 1 - 1 + 0.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -10. Put 0.5, j, 3 in decreasing order.\nAnswer: 3, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((0 + sqrt(1700) + (sqrt(1700) - (0 + sqrt(1700))) + -1*sqrt(1700)*-1 + 3)*-1)**2*6.\nAnswer: 720*sqrt(17) + 40855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323131000 - 2?\nAnswer: -323131002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrjtttqqrjq. What is prob of sequence jt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ededoi. What is prob of sequence deo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 10*n**2 - 3*n - 10. Give w(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, -81, -1205, -4, -5 in descending order.\nAnswer: 4, 3, -1, -4, -5, -81, -1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 9 = -19*j + w, -3*w - 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30259366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4285 and 2060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 116\/11 (b) -0.5 (c) 276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 2 + 118*x**2 - 114*x**2 - 1 + 2. Calculate the remainder when n(-5) is divided by (-1)\/4 - (-105)\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -233*x**2 - 649*x + 651. What is b(1)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 211, 205, 199?\n\"Answer: -6*a + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 154272*x**2 - 5248716*x + 44623912.\nAnswer: 4*(x - 17)**2*(x + 38602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70.963 - -71. What is k rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 10100100010100010100?\nAnswer: 10100100010100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260729 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18952)\/16583)\/((-8)\/182)*(-14)\/4?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103*i**3*n + 10866058*i**3 + 10679*i**2*n**3 wrt n.\nAnswer: 103*i**3 + 32037*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhuhhhhhhh.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**3 + 4*k**2. What is the smallest common multiple of 40 and d(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 1188?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 6*u**2 + 5*u**2)*(u + 3*u - 2*u) - 3*u**3 + 5*u**3 - u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, 223, 498, 883?\n\"Answer: 55*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 93. Let x(t) = 8*t**3 - 2*t**2 - 1. Let h(z) = -33*z**3 + 9*z**2 + 4. Let g(b) = 2*h(b) + 9*x(b). Give g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 532108.6 nanograms?\nAnswer: 0.5321086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 35*q**2 - 2105*q + 296. What is g(60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 29, 32, 35, 38?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2587383 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + o**3 - o + 20 + 31 - 49 - 2*o**3 - 2*o**3 + 6*o**3 + (0*o + o + o)*(o**2 + 0*o**2 + 0*o**2).\nAnswer: 5*o**3 + 3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-14) + 1335\/350 and -65\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5603122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.86 - 3.86. Which is the third smallest value? (a) p (b) -0.1 (c) -9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -3045\nAnswer: 15225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/24 + 59*p**3\/6 - 55*p**2. What is the smallest common multiple of 18 and y(-11)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.9. Let r = 0.5 + h. Which is the second smallest value? (a) -0.3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296342 = 19902*s + 778366 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 91545.49?\nAnswer: 9154.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-16 - 22) - 25 - (40 + 4 + -7).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 8, 1, 30 in increasing order.\nAnswer: -2, 1, 8, 18, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 140635013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 129, 193, 257, 321?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 22*m - 38. Calculate c(22).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/672 and -109\/244524.\nAnswer: 1956192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 + -238. Let z = n + 118. Suppose 0 = 3*a - z*c - 20, 3*a - 12*c - 15 = -9*c. Solve a*r + r - 2*k = -2, 0 = -r + 3*k - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1576, 1531, 1410, 1177, 796, 231, -554?\n\"Answer: -6*o**3 - 2*o**2 + 3*o + 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -262 - -261. What is the smallest value in 0.4, 3\/14, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:09 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -172, -172, -178, -196, -232, -292, -382, -508?\n\"Answer: -q**3 + 3*q**2 - 2*q - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2684 divided by 390.\nAnswer: -1342\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.001 and -1.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 - 45?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2792759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 7. Let v = 39876 + -39880. Which is the closest to -1? (a) v (b) d (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g + 13. Suppose g = 6*v - v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 9 - 21. Suppose -8 + 23 = t*b. Let y be (-5000)\/(b\/(3 - -3417)). What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/4 + 22191*k**3\/4 - 123076829*k**2\/4 - 369385839*k\/4 - 123143409\/2 = 0. Calculate k.\nAnswer: -2, -1, 11097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 255200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 673 - -83. Suppose y = 5*g - 529. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -1.18, 125, 14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -14955953.\nAnswer: 15\/14955953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 42*f**2 + 18*f**2 + 33 + 24*f**2.\nAnswer: -8*f**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 2*x - 1. Let u be y(1). Solve p + 17 = 3*w, -p + 2*w = -2*p + u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.131 - 58.675. Let k = -52.0577 + 0.0577. Let t = n - k. Round t to two dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 - 3582*g**3 + 7*g**2 - 8*g + 3580*g**3 in the form r*g + o + t*g**3 + k*g**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701360?\nAnswer: 2, 5, 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1988*0.1\nAnswer: -198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2894*b**2 - 2990*b**2 + 5844*b**2.\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25845 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*3*(-39)\/104\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/605 and -24\/275.\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (2 - 1) - 4. Let g(v) = -3*v + 11. Let j(n) be the third derivative of n**4\/24 - 2*n**3\/3 - n**2. Let w(o) = a*g(o) - 8*j(o). Give w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.57 - 17.7.\nAnswer: -16.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - o = -34, -2*o - 26840 + 26908 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 753395190 to the power of 1\/2, to the nearest integer?\nAnswer: 27448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-7)))\/h**(-7\/2)*(h\/(h*(h\/((h**(-1\/5)*h*h)\/h))\/h))\/(h\/(((h\/(h*h**16*h))\/h)\/h)*h) assuming h is positive.\nAnswer: h**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16 from -0.055.\nAnswer: -16.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g**2 - 5*g + 1. Is k(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, 345, 327, 301, 261, 201, 115, -3?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3458455 and 1254165?\nAnswer: 114129015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*t = 3*i + 80*t + 10, 0 = 3*i + 3*t + 12. Let v(m) = -27*m - 130. Let q be v(i). What is the greatest common factor of q and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4. Suppose -4 = -y - m. Suppose 2 + y = -c. Sort 0, c, 4 in decreasing order.\nAnswer: 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2130 + 2128.909. What is c rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -1\/15*a**5 + 0 - 1\/2*a**3 + 208*a**2 + 0*a - 1\/12*a**4. Let n(k) = 9*k**2 + 4*k + 7. Determine 14*b(r) + 6*n(r).\nAnswer: -2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18935 + 18958. Let d(n) be the second derivative of 0*n**3 + 0*n**4 + g*n + 19\/30*n**6 + 0*n**5 + 6*n**2 + 0. Differentiate d(m) wrt m.\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -88843, -177730, -266617?\n\"Answer: -88887*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 866 - 9517\/11. Factor 1\/11*a**3 + 6\/11*a**2 + 0 + h*a.\nAnswer: a*(a + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 17*b - 7*b - 37.\nAnswer: -24*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45828431, -45828438, -45828445, -45828452, -45828459, -45828466?\nAnswer: -45828473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 5:09 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -86099 (base 13) in base 6?\nAnswer: -5103232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3 + -1 - 25\/(-25). Let w be 104\/56 - 6\/n. Let a = -0.06 + 0.36. What is the second smallest value in a, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704977 is divided by 7340.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196279 = 88*l - 840097. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45036, 90092, 135172, 180282, 225428, 270616, 315852, 361142?\nAnswer: 406492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1276091 * 0.06\nAnswer: 76565.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*r - 48 = -751*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-84) - (-3282)\/(-105) - (-6)\/15. What is the closest to -12 in v, -0.1, -0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -14\/151 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - -4 - (-7 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2026, -2\/83, 10.\nAnswer: -2026, -2\/83, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -345*v**4\/2 + 559*v + 211. Differentiate s(c) with respect to c.\nAnswer: -2070*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.169 + -0.169. Let t = 0 + -2. What is the nearest to t in 2, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -19 + 9 + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -134, 2\/15, 6\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04074835 to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2)\/(v\/(v\/v**(3\/4))))**(-32))**(-6))**(-45\/2) assuming v is positive.\nAnswer: v**11880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 - 1 = -5*v, -5*n - 12 = -v. Let h be 63\/(-14)*6 + -6. Put h, -1, v in descending order.\nAnswer: v, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159881450.4 nanoseconds in weeks?\nAnswer: 0.00000026435425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 2*x**2 - 3*x - 4. Let q(y) = y**3 - 4*y**2 + 6*y + 8. Let t(g) = 5*a(g) + 3*q(g). What are the prime factors of t(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 10. Let j(d) = -5*d - 1. What is the units digit of j(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 930 = -5*x. List the prime factors of x.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 30*p - 145 = 0. Sort -4, -37, p in decreasing order.\nAnswer: -4, p, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731556 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - (-3 + 12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 n when four letters picked without replacement from {n: 14, j: 4}?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d - i, d - 7 = -0*i + i. Suppose -d*g + 9 = 1. Solve -w = g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24430? (a) 5 (b) -3\/5 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.103 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68)\/(-1)*(-24)\/16. Let o = -51 - l. Let t = 2 + o. What is the remainder when t is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -9*b**5\/2 - 8043*b**4\/2 + 64929*b**3\/2 + 8043*b**2\/2 - 32460*b = 0.\nAnswer: -2705\/3, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y - 297*y - 51124*y**2 + 2 + 51123*y**2.\nAnswer: -y**2 - 358*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 4*o**2 - 13. Let u(t) be the third derivative of -t**4\/4 + t**2 + 8. Determine u(k(z)).\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-35)*(-1)\/2. What is the third smallest value in -0.9, 9, r?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1390 + 1409. Calculate the remainder when 81 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147942383221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*p - 245*p = -0*w - 3*w + 5, -4*w = 8*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r + 231*r + 20*r - 4411062. List the prime factors of r.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + d, -d = 5*m + d - 12. Suppose p - 24 = 5*c - m, 5*p - 5*c = 30. Solve 4*x + p*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/((-196)\/(-102)) + -1 and 101\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*h*m*q**3 + 73*h*m*q + 29*h*q - 123*m*q**4 - 2*m wrt q.\nAnswer: 624*h*m*q - 1476*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**5 + 128*i**4 + 603*i**3 + 162*i**2.\nAnswer: i**2*(i + 9)**2*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/(-14)*(230 - 0) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwhwermhaheehahheehm. Give prob of picking 1 r, 1 a, and 2 e.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -446663.914 + 446656.51400037. Let r = 45 - 52.4. Let t = y - r. Round t to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -10. Let x(r) = -4*r**2 + b*r**2 - 3*r**2 + 3*r**2. Let n(y) = 4*y**2. Give x(n(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 3*12\/(-9). Which is the nearest to 10? (a) z (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 21612 = 23148. Is -0.08 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 15 = 5*t + 2*x, 5*t = -4*x + 15. Suppose -m = -2, 6*m - t*m - 42 = -4*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37396049850240 and 2?\nAnswer: 37396049850242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g - 3*d + 20 = 0, -3*d = 0. Suppose 0 = g*i - 2*i. Sort -1, i, -3.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.72 and -0.19.\nAnswer: -0.8968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let v(k) be the third derivative of k**5\/40 + k**4\/24 + 11*k**3\/2 + 37*k**2. Let f(p) be the first derivative of v(p). What is f(g(j))?\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/((-9)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 - t**2 + 2. Let h be q(2). Let i be (108\/21)\/((24\/21)\/4). Let s = h - i. Solve -5*p - b = -5, p + s*p + 2*b = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/16 and 35\/3964?\nAnswer: 15856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(-5*n**2 - 64 + 24 + 27) to w*n**2 + y*n + b and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-28)*40\/6*(-3)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:45 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 9*b**2 + 9*b - 19. Let p be m(-8). Let t be 1\/3 - 558\/p. Suppose 19*l + t = 20*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15595?\nAnswer: 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 884*i**3 - 4*i**2*w - 2*i**2 - 20*i*w - 3*i - 5*w - 6 wrt i.\nAnswer: 5304*i - 8*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 143 + 1 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42*(-1677)\/819)\/(-3*2\/3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 52*x - 109. Let t(u) be the third derivative of 0*u + 1\/3*u**4 - u**2 + 3\/2*u**x + 0. What is the derivative of t(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.182 - 44.11. Let r = k - 20. Round r to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3539204.837 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -91 and -3.54?\nAnswer: 322.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3112795, -3112786, -3112771, -3112750, -3112723, -3112690, -3112651?\nAnswer: -3112606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -19*f + 10. Let z(v) = -21*v + 11. Give -5*j(b) + 4*z(b).\nAnswer: 11*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/(v**(2\/3)\/v)))*v*v*v**(-2\/13)*v)\/(v**(4\/7)*v**(3\/2)) assuming v is positive.\nAnswer: v**(605\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.07, 3\/4, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*x - 47 = -3*r, -154 = 4*r + 3*x. Let z = r - -74. Calculate the remainder when 110 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 4. Let m be f(8). Let n(i) = -3*i - i - m - 7*i. Is n(-7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -58\/3, -13, 0.22, 4, 13, -0.3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -15103*b + 24. Is m(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1161, -71, -2\/137 in decreasing order.\nAnswer: -2\/137, -71, -1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 28, 117, 294, 589, 1032, 1653, 2482?\nAnswer: 3549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1347 + 11*x - 11*x + 6*x**2.\nAnswer: 6*x**2 - 1347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**7\/840 + y**6\/72 - 7*y**5\/120 + 5*y**4\/24 - 11*y**3\/6 - 5*y. Let p(l) be the second derivative of u(l). Determine p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 9*i**2 - 20*i + 14. Let u be y(6). Solve -u*v - 5*s = -2*s + 13, 4*s = -4*v - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h**3 - 10*h**2 - 19*h - 3. Let y be x(-13). Is 4*y\/(-72)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 - 6 = 0. Suppose -100 + q = -3*p. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*sqrt(190)*-2 + 1*(2*sqrt(190) + sqrt(190))))\/(((sqrt(720) + sqrt(720)*-1 - sqrt(720) - sqrt(720))\/sqrt(12))\/(sqrt(12)\/(sqrt(10)\/sqrt(5)))).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-15)\/105 + 1\/7). Suppose -a*i = 3*s - 206, 3*i = -2*s + 5*i + 124. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*f - 285*f - 54*f + 80340. What is the remainder when f is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5430*v = 6853*v - 31306 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**3\/6 + 6*c. Let b(j) = j**3 - 4*j**2 - 3*j - 7. Let r be b(5). Let y(h) = 36 - 36 + r*h. Calculate g(y(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 23901165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0*g**4 - 1\/8*g**5 + 5\/4*g**3 - 5\/2*g**2 + 0 + 26*g. Let q(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 102. Let s = 57\/16 - 83\/48. What is the common denominator of s and 2\/4 - 86\/z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 34*b - 3072 = -3279, 0 = -g - 2*b + 15 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 9*s**2 + 18*s + 16. Let n(i) = i**3 + 4*i**2 + 2*i - 2. Calculate the least common multiple of n(-3) and f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166996935 by -2650745.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 997?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a79268 (base 12) to base 13.\nAnswer: 1224056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*f + 1502*f - 3 + 1 + 239*f.\nAnswer: 1862*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96679817 to the power of 1\/2, to the nearest integer?\nAnswer: 9833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -31*i - 1 + 5*i**3 + 0*i**3 + 20*i**2 + i**3 + 9 - 7*i**3. List the prime factors of l(15).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 - 12*x + 10. Let b be o(5). Suppose 20 = 2*v - 0*v. Solve b = -5*w - 0*w - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3144521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1608, 6781, 15550, 28035, 44356, 64633?\n\"Answer: 20*j**3 + 1678*j**2 - j - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 45 = 5*p, 3 + 4 = -p + 3*s. Suppose 0 = 3*m - 8*m + 150. Solve -m = 5*y - 5*q, 22 + 3 = p*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 7*n**2 + n + 22. Determine x(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 261526 and -2.\nAnswer: -523052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*o + 34493*m - 34498*m = 54, o + 6*m + 51 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, -65 in decreasing order.\nAnswer: 18, 0, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x. Let y be i(-1). Let q = y - 4. Suppose q*s - 3 = 2*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 2.6.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/((-84)\/9))\/(25\/10 - -4)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(33)*2*6)\/sqrt(3))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2660226, -10640920, -23942086, -42563730, -66505858, -95768476, -130351590, -170255206?\nAnswer: -215479330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 0 + sqrt(252) + -4)**2.\nAnswer: -1012 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*z - 185, -s + 28 + 7 = -z. Are s and 40 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-6)\/16)\/(((-18)\/3)\/(-24))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = 5*a, -a - 27*j + 32*j = 8. Solve a*f = 14 - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -72, 25, 176, 393?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 23*z + 5. What is the tens digit of q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1772 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:09 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 5:09 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -27*r - 2. Let n(g) = -g**2 - 836202 + 836202. Give n(f(p)).\nAnswer: -729*p**2 - 108*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let n(z) = 606*z. Calculate y(n(w)).\nAnswer: -606*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 23 = 4*v + 20, 5*v = -f - 10. Solve 4*m - m + 22 = -f*s, 3*m = -3*s - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -422 - -421.84. Sort 2\/9, 1\/3, w, -0.4 in decreasing order.\nAnswer: 1\/3, 2\/9, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319 and 25768298.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let q = 0.7 - -2.3. Let h = q - k. Which is the nearest to h? (a) -4\/7 (b) -0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 15. Let r be p(0). Suppose 2*s + 0*s - r = -5*m, 0 = s - 5*m. Suppose 27*h - s = 26*h. Calculate the remainder when 28 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 122. Let m(t) = 7*t + 1. Let k(u) = -29*u - 4. Let h(p) = k(p) + 4*m(p). Determine o(h(q)).\nAnswer: 2*q - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -342*u - 1284 - 1772*u - 922*u + 1655 wrt u.\nAnswer: -3036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 3. Calculate k(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -19. Suppose 3*z = v + 9, 0 = -5*z + 10*z + v - 7. Sort k, -3, z in decreasing order.\nAnswer: k, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*28\/(-1932) - 2\/6*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -73. Let f = u - -6. Calculate the remainder when 47 is divided by ((-180)\/(-75))\/((-2)\/f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199432 rounded to the nearest one thousand?\nAnswer: -199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 2*d - 3*d)*((-1 + 2 - 2)*(-2 + 2 + 4*d**2) + 36*d**2 - 24*d**2 + 30*d**2) to the form o*d**2 + s*d**3 + w*d + p and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q. Let f(w) = 29435*w**2. Determine f(d(j)).\nAnswer: 264915*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 23*a**5\/60 - a**2. Let s = -4 - -5. Is v(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 4. Let i(p) = -p + 10. Let c be i(14). Determine f(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12320 + 15630. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 81762923, 163525843, 245288763, 327051683, 408814603, 490577523?\n\"Answer: 81762920*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 338?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 7*u**2 + 6*u - 4. Let m be i(-6). Let l(f) = -257*f + 6. Let s be l(m). Is 2\/14 + s\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (-32 + 36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1059 or -1062?\nAnswer: -1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Suppose -j*b + 10 = 2, -2*q + 18 = 5*b. Let w(r) = -r**3 + r - 1. Let l(f) = 6*f**3 - 3*f**2 - 10*f + 5. Let n(a) = l(a) + 5*w(a). Give n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/130 and 89\/1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65688.27 decades to millennia.\nAnswer: 656.8827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 204, -0.02, -0.1, 0.2 in decreasing order.\nAnswer: 204, 0.2, -0.02, -0.1, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-128)\/(-20))\/((-1)\/(-5)). Suppose -h = p - 2*p. What is the remainder when p is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330\/(-21) - (-150 + 133)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11827001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 7. Suppose s*x = -2*x + 32. Suppose x*b - 7 = 9. Solve 8 = -3*j - 0*z + z, -3*j = 5*z - b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.6 and -0.35.\nAnswer: 3.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 15*v + 75. Let l be z(23). Suppose -13*f + l = 5*h - 15*f, 5*f = 4*h - 197. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7605 - -5356. Does 263 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16986\/1141 + -2380\/163. Let d = -0.2 + 0.15. Let v = 1.8 - 2. What is the closest to n in v, 4\/7, d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8591584 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 60264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6106*b**4 - 7*b**2 - 681580.\nAnswer: -24424*b**3 - 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 - 4836 = -15*g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10810 - -26627. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8049 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 + d - 1. Let a(s) = 93*s**2 + 2*s - 2. Calculate -a(u) + 3*m(u).\nAnswer: -102*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 44 = -v. Calculate the remainder when v is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1491, -1489, -1485, -1479, -1471, -1461, -1449?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 90\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*t - 37 = 0, 0 = t + 3*t - 12. Let q = -4 - -2. Which is the third biggest value? (a) -0.9 (b) 0.5 (c) q (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(468)*-1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -313\/76?\nAnswer: -313\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -154953*t. Let n(s) = -1107*s**2. Calculate n(b(l)).\nAnswer: -26579548455363*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1485200 and -9\/320.\nAnswer: 5940800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1236)*((-3)\/9)\/(87\/(-783))\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfsfhhfsxfssh. What is prob of picking 2 s?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -8)\/((-2)\/(-22)). Calculate the greatest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 5 in descending order.\nAnswer: 12, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/4))**(-31) assuming o is positive.\nAnswer: o**(-279\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*m - 12 = 0, 9*l - 13*l + 12 = 4*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2933 and 1?\nAnswer: 2933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5214, -10427, -15640, -20853?\nAnswer: -26066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26145 and 5373171.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (7 - 8)) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1881111\/127 - -14812. What is the common denominator of m and 32\/3?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -610 - -615. Solve -5*t - 4*z = -20, 2*t + 2*t - z + g = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -13, -4 in descending order.\nAnswer: 7, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -7)\/(-2)*-1. Suppose 0 = d*p - 90 - 75. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -583 - -525. What is the smallest value in 0, k, 2\/17, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s - 5. Let f be q(16). Do 315 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, r: 1, f: 2, j: 2, v: 1}. Give prob of picking 1 j and 1 r.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = -11. Suppose s - 2*j = 22, -2*j + 5*j + 83 = 4*s. Let k be -46*3\/30 - 8\/s. Sort k, -2, p in descending order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -118 + 25*j - 14 - 25 + 4. Is u(9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092767763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v**2 - 230*v - 107. Calculate the smallest common multiple of 4504 and j(-25).\nAnswer: 40536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + 32. Let z be x(10). Suppose -z*m = -7 - 3. Suppose 0 = -p - 4*w + 87, 5*p - 233 = -m*w + 172. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 59*i**5\/2 + 175*i**4\/12 - 50*i**2 + 16*i. Find the second derivative of k(d) wrt d.\nAnswer: 3540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -625.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1368*x + 55. Let z(a) = 4106*a - 156. Determine -17*r(t) - 6*z(t).\nAnswer: -1380*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let w = -2 - -7\/3. Suppose 0 + o*r + w*r**2 = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - w**2 + w**2. Let z(n) = -295*n + 202*n + 171*n. Determine z(g(p)).\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -40 (b) -59 (c) 31 (d) 5 (e) 1 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1140\/(-24))\/19*(-5127)\/(-10). Let l = f + 1290. What is the common denominator of l and -97\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 5*p**2 - 6*p. What is f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -23*z - 1. Let x be d(-1). Let t = 4 - 0. Suppose 5*n + t*b - x - 20 = 0, 0 = -2*b - 4. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1) + (-16)\/(-4). Suppose y = w - 4*w - 3, 2*y = -w - 1. Let f(u) = u**2 + u + 5. Let x be f(y). Solve -x*a + 4*d - k = d, 0 = -4*d - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 3. Let y be b(-2). Let u be (-1)\/y + 166\/14. Let n be -3 - (128\/u)\/(-4). Which is smaller: n or -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 228, 344, 462, 582, 704?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69054 - -69111) + -1 + 0 + -14.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 + 12*c + 2. Let n(f) = -66*f**2 - 59*f - 11. Calculate -11*d(w) - 2*n(w).\nAnswer: -11*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(208) + 1 + sqrt(208) + sqrt(208) + 2) + (1*sqrt(156)*-6)\/(sqrt(36)\/sqrt(3)*-6 - sqrt(12)))**2.\nAnswer: 7920*sqrt(13)\/7 + 1422756\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.423 + -0.223. Let q = 0.04 - 5.04. What is the nearest to 0.1 in -3\/2, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 8*o + 22*o - 219 = 665 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-12) - (-61)\/(-90)*-2. Let p(o) be the second derivative of 1\/18*o**3 - 4*o - 1\/60*o**5 + d*o**6 + 1\/6*o**2 + 0 - 1\/12*o**4. Factor p(t).\nAnswer: (t - 1)**2*(t + 1)*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*i - 37 + 62, a = 5*i - 1. Let q = 11 - 5. Let x(y) = q*y + 4*y + y. What is x(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 146\/50 - (-88)\/1100. Suppose y*v = 5*m + 37 - 12, 3*v = -m + 13. Solve s - v*u - 10 = -4*s, 5*s + 3*u = -22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 6. Let b(z) = -6*z + 31. Let f(r) = 2*b(r) - 11*j(r). Determine f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/2, -0.1, 265?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 25 = 3. Let f = k - -44. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + (-10 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*f + 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:46 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4013141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**3\/2 - 1430*h. Let q(u) = -836*u. Calculate q(b(x)).\nAnswer: 2508*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -219 - -200. Let p be -4 + 7 + 59\/o. Put p, -17, 2 in decreasing order.\nAnswer: 2, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5379 divide 142382130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -422 + 1689\/4. What is the closest to -1 in c, 1\/8, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 + 3228*a - 22694 = 0. Calculate a.\nAnswer: -1621, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.316 - 244.684. Let y = k - -227. Which is the second smallest value? (a) y (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/7)\/(o*o\/(o*o**(-1))*o) assuming o is positive.\nAnswer: o**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -557774 or -2231091\/4?\nAnswer: -557774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/70 + -11*1\/(-7). Suppose 0*s - m = -2*s. Solve 2*n - s = -g, 23 = 4*g - g - 4*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 27*o + 178. Give g(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004594 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crkcukcccfuwrckkkfcc. Give prob of picking 1 w and 1 u.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + -1 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 r, and 1 t when four letters picked without replacement from drrldwrrwtqw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 434*f - 13405. Calculate q(180).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*v**3 - 2*v**3 + 6*v**3)*(61 + 109 + 108) to q*v**2 + h*v + y + x*v**3 and give x.\nAnswer: 2780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1113, -2000, -2749, -3360?\n\"Answer: 69*t**2 - 1094*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**2 - 3 - 15*a**2 + 0*a**2)*(a**2 + 2*a**2 - 4*a**2) as p*a**3 + n*a + u*a**2 + j*a**4 + c and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14584*p**3 + p**2 + p**2 - 14580*p**3 - 8348.\nAnswer: 4*p**3 + 2*p**2 - 8348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 473 - 451. Solve 6 + u = -3*o - 4*y, 0 = 3*o - 4*y - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -584 and -4.64?\nAnswer: 579.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10100011111111010?\nAnswer: 10100011111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 36*b**3 + 7*b**2 - 8*b + 7. Let f(k) = -36*k**3 - 6*k**2 + 7*k - 7. Let y(i) = -3*f(i) - 2*p(i). Let x be y(3). Round x to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1771517, -3542985, -5314453, -7085921, -8857389?\nAnswer: -10628857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 114*q = 2*y - 118*q - 46, 5*y + q + 62 = 45 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6654 - -0.3295. What is y rounded to 2 dps?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -204\/11 (b) -4 (c) 2\/9 (d) 1\/3 (e) 1\/6 (f) 0.068 (g) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 118190 to the nearest one thousand.\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 120 = 68390*w - 68385*w, 5*w + 4*u + 120 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58ab (base 13) in base 7?\nAnswer: -51244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or -813?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -18 in increasing order.\nAnswer: -18, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 divided by -3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/1*(-2)\/(100\/(-30)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3383 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -32. Suppose -m*j - 1 = -v + 13, 3*j = 6. What is the highest common divisor of 207 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o**2 + 12*o - 10. Let j be w(1). Solve 4*k - 8 = -4*q, 34 = -6*k + j*k - 3*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 535 - 349. What are the prime factors of c\/12 - 2\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101214 (base 7) to base 10\nAnswer: 17259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/40, 0, -430, -1\/6, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13458*k - 5 + 13458*k - 974*k**2)*(-k**3 - k**3 + 4*k**3).\nAnswer: -1948*k**5 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83582 and 437.\nAnswer: 1588058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 823387.2 nanometers?\nAnswer: 0.8233872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9963028 by -31.\nAnswer: -321388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**5 + 55*m**4\/2 + 395*m**3\/3 - 255*m**2 - 1504. Let o(d) = 0. What is d?\nAnswer: -17, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + z**2 + 3*z**2 - 14*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9894692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (864\/5 - 3) + 2\/10. Let a = -26 + g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 12*t + 325. Calculate k(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(-11\/2)\/(b\/(b\/b**(2\/3))*(b\/(b\/b**2))\/b))**10 assuming b is positive.\nAnswer: b**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 20*l - 33. Let u be i(15). Let d = u - 267. Solve d*s = -5*s - 4*m + 12, 6 = -2*s + 2*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7476 + 3842*u**2 - 1222 - 936 wrt u?\nAnswer: 7684*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13068*b**4\/7 + 25740*b**3\/7 + 12279*b**2\/7 - 390*b\/7 + 3\/7.\nAnswer: 3*(b + 1)**2*(66*b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1434 (base 11) to base 12.\nAnswer: 10a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-3 + 1)) + 1. Let r be (-3)\/((-45)\/50)*(-18)\/(-30). Solve 0 = -r*p - 5*i - 14, -3*p + 0*p + d*i = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - 4. Let s be n\/(-10)*(-9 - -5874). Suppose 10*t - s = 6058. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.27 + 22.33. Let k = g + -24. What is the second biggest value in -5, -0.8, k?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131517 is divided by 6912.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**3 + 4*r**2 - 4*r**2)*(1 + 5*r - 3*r + 2)*(1 - 5 + 1) to the form p + d*r + h*r**2 + l*r**4 + i*r**3 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 + 125. Calculate the remainder when q is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.046 (c) 2 (d) -0.2 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/15 + w**4\/12 + w**3\/6 + 12*w**2. Calculate f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(432) + 1 + sqrt(432) + sqrt(432) + -3 + sqrt(432)) + 1 + sqrt(432)*1 + -3 + sqrt(432) + 0)**2.\nAnswer: -3456*sqrt(3) + 140032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**6\/720 - z**4\/6 - 2*z. Let l(b) be the third derivative of j(b). Let w(a) = -5*a + 5*a - a. Give w(l(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -742, -5962, -20132, -47728, -93226, -161102?\n\"Answer: -746*o**3 + o**2 - o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-45) + 16\/(-80)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, i: 1}. What is prob of sequence io?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151*f*l**2*w - 2*f*w**3 - 4*f*x + 13*l**2*w**3*x + 24*l*w**3*x + x wrt f?\nAnswer: 151*l**2*w - 2*w**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 45*i + 148. What is p(-15)?\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -49503*p + 346452. Determine i(7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 402*z - 16614. What is q(-38)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168*j*o**3 - 92*j*o**2 + 4*j*o + 142*j - 49*o**3 + 889*o - 2 wrt o.\nAnswer: -1008*j*o - 184*j - 294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -345310?\nAnswer: 345310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*g*r**2 - 19*g*r - 15306*g*w + 2*r**2 + 6*r*w + 25*w wrt r.\nAnswer: 56*g*r - 19*g + 4*r + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290 + 295. Suppose -d*p = -118 - 882. What is the greatest common divisor of p and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 - -0.01. Let k = -0.3 - s. Let v = 2\/209 + -641\/1463. Which is the closest to v? (a) 3 (b) k (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -126 and -160.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((11340\/(-56))\/(-15) + (-15 - -3)) - 21.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and 0.209.\nAnswer: 5.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g + 10. Suppose -30 = n + 4*s, 3*n + 2*s = -0*s - 40. Let p be z(n). What is the common denominator of (0 - 29)*7\/p and 57\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188625 is divided by 5096?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/274827 and -44\/621.\nAnswer: 2473443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82215.81 micrograms to kilograms.\nAnswer: 0.00008221581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -31. Let i be (-5)\/(z\/8) + 7. Suppose i*q - 9 = -2*t + 1, 3*t = -q + 41. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121008278*n*s**2 - 76*s**2 + 434771 with respect to n.\nAnswer: 121008278*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d**2 + 3*d + 4. Let m = 56 - 57. Let s be i(m). What is the third derivative of -2*j**6 + 5*j**2 - s*j**3 + 8*j**3 + 8*j**3 wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/12 - 4*i**3\/3 + 5*i**2\/2 + 6*i + 4. Let p(g) be the first derivative of w(g). Suppose 0*u + 30 = 5*u. Calculate p(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -2*r + 41. Suppose 5*a - 150 = -5*u, 0*u + 3*u - 3*a - r = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f - 35. Let r be j(-4). Let i(o) = 3*o**2 + 2*o - 13. Let x be i(r). Solve -x = 4*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*u - 42. Sort 4, -7, u.\nAnswer: -7, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 7822.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250 + -228. What is the least common multiple of l and 6\/1 - (-1 - 1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110101?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*b - 15, 2*b + y = -3*b + 25. Suppose 0 = b*o - 3*r - 4, 0 = -5*o - 5*r + 7*r + 6. Sort 5, o, 116 in descending order.\nAnswer: 116, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -2 + (-1)\/(-9) + 25\/45. Which is the closest to -0.01? (a) u (b) 4 (c) 1\/10 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*i + 13 = 0. Let v = i - -26. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46 and 32.82.\nAnswer: 78.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892.1683 weeks to seconds.\nAnswer: 539583387.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1552070437, -3104140874, -4656211311?\nAnswer: -6208281748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 8:51 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 54033?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 270322041*l. Let q(r) = 4*r**2. What is p(q(f))?\nAnswer: 1081288164*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 + -78.8. Let k = -76.9999325 - h. Round k to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/7)\/(3\/(-42)). What is the derivative of 12*u - 8*u**2 - g*u + 8 + 0 wrt u?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 30*n + 2 - 14*n)*(-n**3 - n**3 + 0*n**3).\nAnswer: -32*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**2 + 1251*s + 13162. Give m(-102).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 3*g + 3. Let r be c(-2). Suppose i - r = 2*i. What is the closest to -1\/3 in 2\/3, -3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + 1 + -13 - 20\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-153))\/(3\/(-36))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/((-13)\/2) - -521. Let j = 522 - r. Let z(v) = -5*v**2 + 4*v - 6. Let b(s) = s**2 + 1. Give j*z(q) - 6*b(q).\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose -h = -3*w + w. What is the units digit of 1*2 - (-2 - w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*p + 15 = 0, c - p + 16 = 3*c. Suppose -x = -4*x - c, 0 = b - x - 5. What is the second derivative of -b*h**4 + 2*h + 0*h + 0*h**4 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -3, 3 in decreasing order.\nAnswer: 3, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -75, -123, -171?\n\"Answer: -48*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 + -0.06. Let h = -13.28 + o. Suppose -131*v = -130*v. Sort v, -0.4, h in descending order.\nAnswer: v, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 15 + 0*x**2 + 20 + 915*x**3 - 926*x**3 in the form l*x + s*x**2 + k + b*x**3 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 25 - 184479*a + 12 + 8.\nAnswer: -184479*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -57*g**2\/2 - 3*g + 884. Let p(r) = r**2. Determine p(k(a)).\nAnswer: 3249*a**2 + 342*a + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose 0 = -k*v - 3*v - 20. Let l(j) = 5*j**2 + 2*j - 39. Let o(u) = -7*u**2 - 2*u + 57. Let x(f) = 3*l(f) + 2*o(f). Determine x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - o = -4125. Let y be -1 + 0 - (0 + -5). Suppose -4*a - 2*b + 305 = -b, o = y*a - 5*b. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -1. Let k = 4 + x. Do 1 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 - 3) + (409 - 445) - -4\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4) - 6\/3. Is l < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Let p be (0 + 1 - l)*-15. Suppose 5*u - p = -0*u. Solve -3*j + 5*n - u = 0, -4*n = 3*j - 5*n + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 0*d**3 + d**5 + (-2 + 3 - 4)*(8*d**5 - 10*d**5 - 41*d**5).\nAnswer: 130*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 - 0.3. What is the closest to -1 in -1\/8, 1, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47101 - 379199\/8. Let b = 297 + q. Calculate the common denominator of 53\/2 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1613, -1632, -1671, -1736, -1833, -1968?\n\"Answer: -x**3 - 4*x**2 - 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3247197 litres in millilitres?\nAnswer: 324.7197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2586, -2615, -2662, -2727, -2810?\n\"Answer: -9*w**2 - 2*w - 2575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05210915 rounded to three dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 14*o + 18. Let w(u) = -9*u**2 - 404*u + 49. Let z be w(-45). Give l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1741 = 4*x + 1737. Which is greater: 26\/1211 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 112 + 83 = 0. Let y = x - 22. What is the second derivative of 8*c + 5*c - 5*c + y*c + 22*c**5 wrt c?\nAnswer: 440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 1, b: 1, g: 2, m: 1, a: 2}. What is prob of sequence kg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -512*s + 8*s**3 - 5 + 526*s + 19 - 2*s**2. Let x(v) = -3*v**3 + v**2 - 5*v - 5. What is -5*c(h) - 14*x(h)?\nAnswer: 2*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/7, -3\/4, 0.04?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10839 - -629?\nAnswer: 11367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**5 + 5*i**4 + 25*i**3 - 25*i**2 - 20*i + 20 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768170 is divided by 113?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-3) - 3548\/2661. Sort -1, d, -5, -10.\nAnswer: -10, -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:21 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l - 21. Let p(j) = -j**2. Give k(p(a)).\nAnswer: 17*a**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 - 5*x + 3. List the prime factors of u(6).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4240 divided by -62.\nAnswer: 2120\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/(-21) + 3 + 1. Let n = -17797\/5 - -3559. What is the fourth biggest value in g, -2\/7, 0.6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clllcccjlljcll. Give prob of sequence jllc.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 1 + 17. Let v(s) = s**2 + 4*s + 8. Let n be v(w). Solve -n = t + 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5, e: 11}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-3)\/(-2) + -1). Let w be x\/(-3) - 13\/(-30). Let q = -53 - -52.8. Which is the nearest to -0.3? (a) 3 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = -4, 5*f - 133 = -2*n. Let k = n + -53. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*k = 378*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z**2 + 102*z - 227. What is i(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23797679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3\/8 + 132855*k**2\/8 - 13316427*k\/8 - 41144895\/8 = 0. What is k?\nAnswer: -44385, -3, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -33*n**2 + 210*n - 159. Give i(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - (-33544)\/24) + 2\/(-3).\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (-10 + 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -77 + 299. Let r = h - -41. Solve -r - 2 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3 - 468*b**2 - 26418*b + 113288 = 0.\nAnswer: -119, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001001 (base 2) in base 14?\nAnswer: 14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54641106, -109282212, -163923318, -218564424, -273205530?\n\"Answer: -54641106*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*r + r - 1 + 13*r - 4 - r + 4 + (-r + r - 2*r)*(2 - 1 - 3) + 2 - 2 - 2*r)*(r - 3 + 1 + 1).\nAnswer: 43*r**2 - 44*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7400*q**2. Let u(m) = -79*m**2. Give u(t(s)).\nAnswer: -4326040000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*a - 6, -3*n + 6*n = -2*a - 9. Suppose w - 2 = -a*w. Suppose w*m + 0 = 8. Solve 0 = 2*s - 5*r - m, -2*r + 5 = -3*s + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 10*n**2 + 8*n + 5. Let z be w(9). Let b = z - 0. Let s be 2\/(-3)*6\/b. Put s, 3, 4\/9 in increasing order.\nAnswer: 4\/9, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*q + 14300 = -458*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 17*c + 9. Let g be u(9). Suppose -f = -4*f - g. Let n = f - -54. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 23*h - 5*h)*(-h**2 - 8*h**3 + h**2 - 2*h**3).\nAnswer: 240*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1845 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 572023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.989 - 1.389. Which is the fourth smallest value? (a) -0.06 (b) o (c) 0.31 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 10*a**2 - 13*a + 27. Let q be o(11). Suppose q*k = -2*k + 273. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45955909?\nAnswer: 23, 73, 101, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2\/(m*m**6)*(m**(-2)\/m)**(-5\/7)*(m**(-4)\/(m\/m**(-3\/5)*m))**(-1\/10) assuming m is positive.\nAnswer: m**(-769\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3159 - 0.0059. Let y = t - -0.69. What is the third smallest value in 0.3, 1, 0.2, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:01 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - 2?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/10 and 20\/21565977?\nAnswer: 215659770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 - 10*u - 15. Let q be i(-3). Let d be ((-10)\/9*q\/(-50))\/2. Let t be (-30)\/56 + (-2)\/(-8). Put 5, t, d in descending order.\nAnswer: 5, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -7)*69\/12. Let a = -19 - -1. Let r = y + a. Put r, 1, 3 in descending order.\nAnswer: r, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23828 is divided by 331?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/3 - 43*k**3\/3 - 3508*k**2 - 53856*k = 0. What is k?\nAnswer: -72, -17, 0, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = -5. Suppose -24 = -4*z + k. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 7*f - 15. Suppose -6*l = -3*l + 18. Let c be (123\/42 - 3)*l. What is the closest to -1 in -0.5, f, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 309*h**2 - 1. Let n(i) = 17*i. Calculate c(n(z)).\nAnswer: 89301*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {h: 3, q: 1, d: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0335632473 to four dps.\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6821, -6837, -6875, -6947, -7065, -7241, -7487, -7815?\n\"Answer: -2*a**3 + a**2 - 5*a - 6815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -717 (base 9) to base 3\nAnswer: -210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**8\/42 + 5*p**4\/12 - 6*p**2. What is the second derivative of g(h) wrt h?\nAnswer: -160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*r = 176*r - 2412. Is r <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1600\/(-5250)*1\/(-13) and 64\/105.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.8 and 0.12823?\nAnswer: 0.487274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 1 + 4)*(1 + v - 1)*(0*v**2 - v**2 + 0*v**2) in the form p + w*v + l*v**2 + n*v**3 and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10*-0.052298\nAnswer: -0.52298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1485\/54)\/((3\/10)\/3). Calculate the highest common factor of w and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010010110100 (base 2) in base 16?\nAnswer: -34b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r\/(r**(1\/3)*r))\/r)\/r**(3\/5))\/(r**(2\/13)*r*r**11) assuming r is positive.\nAnswer: r**(-2357\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500)*-3*-6 + sqrt(1500))*5)\/((sqrt(72)\/sqrt(8))\/sqrt(3) - sqrt(192)).\nAnswer: -950*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -n - 6, 5*i + 4*n = -6 - 0. Let b be 55\/(-33)*(-294)\/i. Suppose 23 = 4*u - b. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 4. Suppose 5*x + 24 = 134. Suppose -w*k + x = -2*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1)**(8\/17)\/(l**(4\/7)*l*l**(-2)) assuming l is positive.\nAnswer: l**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -0*w + 7*w. Suppose -w*u + 721 = d, -2*d = 3*u - 7*d - 455. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -806 + 800.99. Let w = -5.41 - s. Which is the nearest to 0.3? (a) -0.3 (b) 1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2065 and 1400?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13431 + 13430.84. Which is the second biggest value? (a) z (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24538, 49198, 73814, 98386, 122914, 147398, 171838?\nAnswer: 196234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, -104, -1, -11\/6, 5, -2\/17?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177090828 - 118*z**3 + 0*z**2 + z**2 - 177090828.\nAnswer: -118*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9726743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 1133 + 6278. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*y - 2051 = 86*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-30)\/5 - 10. Let v be (8\/6)\/(((-120)\/522)\/l). What is the greatest common divisor of v and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101 (base 2) in base 8?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, -15, -112 in descending order.\nAnswer: 4, 2, -3, -15, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 19. Let u = 0 - y. Suppose -16 + 30 = 2*a. Calculate the highest common factor of a and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 5*i + 6. Let c = -51 - -199. Let l = c + -153. Determine g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-24 - -48) + (-10 - 3) - 14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(18\/8))\/(2\/72*32).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140576360 divided by -35144090?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6683120 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 144 = -2*a - 0*a, 0 = 4*v - 2*a - 288. Calculate the smallest common multiple of v and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - 52\/14. Let o be (y + 2)*5\/(-2). Let l be -8*2\/(-8)*o. What is the greatest common divisor of l and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rooo when four letters picked without replacement from {r: 5, o: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*b + 342 - 342)*(0 - 1 - 2)*(-2 + 6 - 2) in the form v*b + f and give v.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*p - 67 + 67 - 38*p.\nAnswer: -145*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -7.23, 3\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332173662?\nAnswer: 2, 3, 185120759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9357411113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.549968 micrograms to milligrams.\nAnswer: 0.003549968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1577978 and 19458.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 826 and 531.\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*n = -6, 4 = 2*v - 2*n - 14. Suppose 5*k = -2*c + 21, 4*k + 0*c - 30 = 5*c. Suppose k*j - 20 + 0 = 0. Solve x = j*x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 31*s - 694. Give d(43).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 156*z + 6084.\nAnswer: (z + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4 = 0, 27870*s = -p + 27873*s - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 41*k - 103. Let y(c) = 49*c - 102. Give 6*b(n) - 5*y(n).\nAnswer: n - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**5\/20 + a**4\/2 - a**3 + 11*a**2\/2 + 8*a. What is the lowest common multiple of n(5) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29461766 to the nearest integer?\nAnswer: 5428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*a - 3*u, 3*a - 161*u + 157*u + 3 = 0. Let t = 2 + -1.94. Let d = 0.34 + t. Is a >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*z + m, -9 + 94 = 3*z - 4*m. Let w = -6 + z. Calculate the smallest common multiple of 27 and w.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b**3 - 11*b**2 + 2*b. Let m(f) = 7*f**3 - 4*f**2 + f. Let v = -5 - -9. Let w(n) = v*t(n) - 11*m(n). Factor w(l).\nAnswer: 3*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.72.\nAnswer: 0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1\/6*(-2 - -3). Which is the nearest to 1? (a) -0.2 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = r - 8 - 5, 0 = -2*a + r + 7. Suppose a*f = 2*f + 24. Suppose 2*x = 64 - f. Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 473 (b) -133\/4 (c) 2 (d) 1 (e) 1\/2 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3271918 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57122.15mg in grams?\nAnswer: 57.12215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 5*x + 21, 33*x - 31*x = 4*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*b + 9 + 89*b**2 - 54*b + 169*b as y*b**2 + w + m*b and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104131 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 68*p + 4782. Calculate l(33).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*p + 1606 + 968 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*z - 41603, 5*r = 236*z - 234*z - 20815. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 34*c - 188. Determine d(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.149941 + 2.153. Round r to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r - 2. Suppose 0 = 5*m - 4*m + 3. Let d be s(m). Let z = -6.3 - -6. Which is the smallest value? (a) d (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((sqrt(245) - -2*sqrt(245)) + -3)**2.\nAnswer: -630*sqrt(5) + 11071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0328 and 1.02?\nAnswer: 1.0528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1837395 and 29260.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48589193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c)**(16\/5) assuming c is positive.\nAnswer: c**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:16 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**9*r*r*r)*r)\/r*r*r*r)\/r**(3\/17)*(r**(3\/5)*r)**(-3\/2))**3 assuming r is positive.\nAnswer: r**(-2952\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 298 + 87 = 0. Let j = m - 74. Let b = -0.08 + 2.08. Put j, b, 0.4 in decreasing order.\nAnswer: j, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 5, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(40) - sqrt(200)\/sqrt(20)))\/(sqrt(288)*1 - sqrt(16)\/(1*sqrt(2))).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1142\/14*(-109)\/(-2). Suppose -a + 13355 = 2*a + 2*k, 3*k + 17784 = 4*a. Let d = x - a. Find the common denominator of 11\/12 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3 + 3932*u**2 + 5730793*u - 22986020 = 0.\nAnswer: -1135, 4, 5063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111022 + -102?\nAnswer: -111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -40750*(-7)\/(14\/(-64)). Let i be (4 - 68\/(-8))*l. What is i rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15862\/4243 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -577992 by 4.\nAnswer: -144498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (2 - 1) - -2. Suppose x - 20 = -u*x. Let i = -7 - -13. Calculate the least common multiple of x and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 93054 from 2789874.\nAnswer: 2696820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3201*d**3 + 1624*d**3 + 1620*d**3.\nAnswer: 43*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4843 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z**2 + z + 2*z - 3*z.\nAnswer: -31*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Round 27439190 to the nearest ten thousand.\nAnswer: 27440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -45, -56, -67?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**3 - 9*l**3 - 2*l**2 + 2*l**2.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -381281250131?\nAnswer: 381281250125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4480.087 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 47, 53, 59, 65, 71?\n\"Answer: 6*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -20. Let h be (-15)\/5 - (-6 - z). Let q(d) = 11*d - 4. What is the tens digit of q(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (2 + 24 + -32).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/7000 and 4\/425.\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1185827\/904410 - -1\/20098. Let x = -1\/45 + z. Is -2 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 42.7. Let v = -0.799 + -0.001. Put 1, k, v in descending order.\nAnswer: 1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6063180 and 9701088.\nAnswer: 48505440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/24 and -89\/4136.\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 + d?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/189 - 51340\/17969.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 30. Let k be z(8). Let n be 63449\/469 + -2 + 12\/7. What is the greatest common factor of k and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*m = -n - 50, -5*m = 0. Let a be (-10)\/(-15)*(-4 + 1). Calculate the lowest common multiple of (-3 + 0 - a)*-9 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b - 9. Let h be k(-5). Is -1 + 1 - (2 + h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 2*x + 0*x - 281006 + 281006.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 11*i - 15. Let w be h(14). Let a = w - 25. Calculate the remainder when 33 is divided by 23 + -1 - 0\/a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 8*j + 12*j - 4*j - 16*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49043\/6285 - -4\/1257. Let z = j + 653\/85. Let s = 13\/34 - z. What is the biggest value in -0.5, -4\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 147\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 13) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 + 518*x**2\/3 - 4048*x\/3 + 8032\/3.\nAnswer: -2*(x - 251)*(x - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04396 + -227.80604. Let j = q - -228. Which is bigger: 2\/15 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3 - 17. Suppose -8*f + 3*f + 2*x + 231 = 0, 195 = 4*f - n*x. Calculate the highest common divisor of 90 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 + 544*c + 126 + 78 to the form t*c + n and give t.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/3 + (-3 - (-55)\/15). What are the prime factors of (-1 + -218)*(-1)\/6*q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 9 - 103 = -3*i, -5*i = -2*y + 126. What is the units digit of y - -22 - (1 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 298046 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + i + i**2 + 1 + 0*i + 0*i**2 to the form t + h*i + r*i**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 10) to base 16.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 315008 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1352, 3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c215 (base 13) in base 8?\nAnswer: -64140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*c - 200 + 37, c - 3*j - 71 = 0. What is the units digit of (c\/(-12) - -3)*-18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62484 times 1.02?\nAnswer: 63733.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-112)\/7 - (-4074)\/3. What is the greatest common divisor of 66 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*g - 20 = -5*h - 1452*g, 4*h + 5*g = 7 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10304114314 (base 5) to base 11.\nAnswer: -62367a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 105252?\nAnswer: 105252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*b**5*t**2 + 5*b**5*t - 2*b**2 + 297*b*t**2 - 1 wrt b.\nAnswer: 3360*b**2*t**2 + 300*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 3*n - 4. Let c be y(3). Let h be 36\/(-2)*c\/12. Suppose 8*p = h*p + 54. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555545 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 112124? (a) 0.1 (b) -3 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -30 (b) -5 (c) -0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 911378 to the power of 1\/2, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.4. Let t = 15451 - 15452. What is the third biggest value in 3, t, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0*r**4 + 2\/3*r**3 - 66*r**2 - 5*r - 4 - 7\/20*r**5. What is the derivative of u(x) wrt x?\nAnswer: -21*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*l + 5*g, 0 = 5*l - l + 2*g - 4. Let u(w) = 28*w - 20*w + 10*w**l - 15*w + 6. Let z(q) = -5 - 5*q + 7 + 2 + 7*q**2. Determine 5*u(b) - 7*z(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/40*170\/68\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262107?\nAnswer: 3, 29123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*b + 17. Suppose 5*c - 2 = 3*c, -4*c - 6 = -b*q. Suppose -4*f = -4*n, -q*n = 4*f - 5*n. Solve -5*o + 8 + 12 = f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -2*y + 12*i + 12, -6 = -y + 2*i. Solve -b + y - 7 = 3*u, -5*u + 5*b = -25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11)*2*4 + sqrt(11) + 2*(sqrt(11) - sqrt(176)).\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvnp when four letters picked without replacement from {p: 4, n: 2, f: 2, v: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-390)\/(-455))\/((-72)\/(-112)). What is the fourth biggest value in 0.5, -140, -7, v?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3450885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14246106506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3202*x**4 - 219*x wrt x?\nAnswer: -38424*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.25 - 0.25. Let q = -19.1 + l. What is q rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, w: 1, z: 1, c: 6}. What is prob of sequence ozoo?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 100?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(99))\/(1*sqrt(1296)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 + 13 + 1 + 17*z - z**2. Let c(t) be the third derivative of 0 - 5\/6*t**3 + 1\/30*t**5 + 14*t**2 - 1\/4*t**4 + 0*t. Determine -8*c(j) - 3*m(j).\nAnswer: -j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486 and 331278?\nAnswer: 26833518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -13) + 18 - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 20 - 3145*w - 13 + 41)*(1 - 3 + 4)*(-12*w + 4*w + 0*w).\nAnswer: 50320*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -70 - 102. Let g = x - -104. Let u be (-4)\/g + 0 + (-4598)\/(-198). Solve -5*y - 8 = -u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (574\/(-164))\/((5 - (-32540)\/(-6480))\/(1\/3))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j. Let x(o) = -o - 10 + 23 - 15 - 2*o. What is x(f(q))?\nAnswer: -9*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 5. Let z be b(-8). Suppose -5*x + 3*h = -138, -z*h - 72 = -4*x + 39. What is the remainder when x is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -257, -352, -465, -602, -769?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**5\/5 - 46*k**4 + 513*k**3 - 2*k - 2740. What is the third derivative of g(c) wrt c?\nAnswer: 48*c - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10413.863 and 150.74?\nAnswer: 10564.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4068*b - 4060*b + 12188*b - 4086*b. Let z(y) = 188*y**2. Calculate l(z(j)).\nAnswer: -4888*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.42445 to one dp.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qikiiiktqkkt. What is prob of picking 1 i, 1 q, and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44502, 89004, 133506, 178008, 222510, 267012?\nAnswer: 311514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 10*y**2 - 10*y + 2. Let u be n(-9). Suppose -4*d + 1 + u = 0. Let c(g) = 2*g**2 - 2*g - 1. Let k(p) = 4*p**2 - 3*p - 1. Give d*k(f) - 5*c(f).\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 29 = -2*k. Suppose 3*o - k = 379. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -63. Suppose 16*u - 3*u - 2470 = x. Is 38 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 820 and 191410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 1166?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose -8 = -2*h - t. Suppose 4*n - n - 12 = 0. Is h > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, l: 6, b: 1, w: 3}. What is prob of picking 1 w and 3 r?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3871965 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.6 - 0.4. Let b = a - -7. What is the second smallest value in 2\/3, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 95469 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/13, 565106, -4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*o + 45, 532*o = -4*m + 528*o - 36 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 5*j**2 - 5*j - 2. Let g be w(-4). Let n = 11 - g. What is the greatest common divisor of n and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 1 - 3*u + 5*u + (-2 + 1 + 3)*(-u + 2 - 2) + u - 3 + 3 - 11*u + 4*u - 6*u.\nAnswer: -13*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6*d)\/(d\/d**4))\/(d*(d\/d**(-2\/3)*d)\/d*d*d**5) assuming d is positive.\nAnswer: d**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 7*a. Let d be w(-3). Suppose -6*l + 36 = d. Let i be (l - 2 - 4)*39. Is -40 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, h: 2, q: 2, k: 1, i: 6, v: 3}. What is prob of picking 1 v, 1 y, and 1 i?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11078*q - 1 + 11084*q - 33254*q + 11086*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 0.29. What is y rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 1 n when three letters picked without replacement from avsmvvnvvnaaavnsm?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5666 (base 7) to base 2\nAnswer: 100000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524851.\nAnswer: 157, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 102.7\nAnswer: -41.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l + 1\/6*l**3 + 37\/210*l**7 + 0*l**6 + 2 - 6*l**2 - 1\/30*l**5 + 5\/8*l**4. Find the second derivative of s(h) wrt h.\nAnswer: 444*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 24*z**2 - 26*z - 55. What is x(-23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 21*s**2 + 13*s + 55. What is r(20)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1171, 900, 161, -1280, -3657?\nAnswer: -7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35843 and 70007?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 52 = -8*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4026 + 4043. Calculate the remainder when 2979\/45 + 2\/(-10) is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 0, 19, -8\/287?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3243857 - 2126857. Round m to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6697 and 4.\nAnswer: -6693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436079317?\nAnswer: 19, 101, 113, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075118 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.243156884 rounded to 3 dps?\nAnswer: 1.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -30. Let p(u) = -u**2 - 11*u - 9. Let k = 8 - 17. Let d be p(k). Solve -v*i + 3*a = d, 11 + 0 = -4*i - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567+-0.02\nAnswer: 566.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 744\/11 (c) -0.2 (d) 2530 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 + 2 + (-2 - 6 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 23248\/2964) + 14\/(-133) + 3.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2 - (12 - 10)) + 4 - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328821?\nAnswer: 3, 43, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 12*x - 15. Let i = 15 + -5. Let s be o(i). Suppose 5*z + q = 8 - 27, 2*q = -s*z - 18. Which is greater: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*(-6)\/4. Let m = 2 - l. Calculate the remainder when 35 is divided by (0 + -12)*(-5 + m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -816919\/20 + 40846. Let i(c) be the second derivative of 0 + 0*c**3 - 1\/40*c**5 + 17*c + 1\/84*c**7 - 1\/8*c**4 + 0*c**2 + m*c**6. Factor i(y).\nAnswer: y**2*(y - 1)*(y + 1)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Let a(b) = -b - 5. Let p be a(-5). Is p >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 2013739 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*i + 51, -5*i - 5 + 20 = 0. Let u = f - -3. Suppose y = -y + u. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 813*a**3 - 7. Let q(m) = 407*m**3 - 4. What is 7*q(w) - 4*y(w)?\nAnswer: -403*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.808886.\nAnswer: -0.1617772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 4 = -z + 5*f, 2*f + 10 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -2. Suppose 0 = c*z - 4*j - 62, 5*j - 19 - 5 = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8921254871 rounded to the nearest 100000?\nAnswer: -8921300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:09 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 11104227.\nAnswer: -11104227.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 7*f + 6. Let y be h(8). Let q be 0 - (1 + 1) - y. Let u(w) = w - 3. Let n be u(3). Solve q*a - a = n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 5*o - 58 + 23, k - 3*o - 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 8*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c + 708 - 718 = 37*c, -5*z - 4*c = -35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-142)\/(-4) - 5\/((-140)\/(-42)))\/1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/(-12) - (-1)\/(-4). Let t(u) = -u**3 - 5*u**2 + 15*u + 7. Let f be t(-7). Which is the closest to -0.1? (a) v (b) f (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 11 + 14 = -5*d, -d - 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 269, -5\/59, 0.022?\nAnswer: -5\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = l - 13, -3*o + 0*o = 12. Suppose -2*g - 4*d - 9 = -3*g, 2*d = -l*g + 23. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 24. Determine d(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x - 4. Let u(c) = -35*c - 21. What is 21*p(o) - 4*u(o)?\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 17 + 2 = s, -4*s + 5*y - 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368156 is divided by 249.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21589 - -41288. What are the prime factors of f?\nAnswer: 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 7*c**3\/4 - 45*c**2\/4 + 6*c + 47. Factor m(o).\nAnswer: 3*(o - 4)*(7*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.85. Let l = -52.53 + 52. Let x = l - v. What is x rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3 + 0 + 3 - 5 + 2 - 1 - 3 + (-5 + 2 + 4)*(-2 + 4 - 3) + 2 + 2 - 2 + 3 - 4 - 1 + 0 + 0 - 1 - 2 - 4 + 4)*(-2*s - 2*s + 3*s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = r + 4*y - 98, 4*r = 10*y - 46 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, -587, -2218, -5395, -10634, -18451, -29362?\n\"Answer: -86*l**3 + l**2 - 2*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 62935 = -2*f. Let n = -24587 - f. Round n to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-66 + (-6660)\/(-128))\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 146. Let o = n - -279. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(-28)*(x**(-2\/7)*x)**(-3) assuming x is positive.\nAnswer: x**(769\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiiooioooo. Give prob of picking 4 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -11 - (0 + -9 + 2) - -12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13837, -13925, -14075, -14287?\nAnswer: -14561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.37 - 6.43. Let l = 48.8 + f. Put 25\/6, -3, l in decreasing order.\nAnswer: 25\/6, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86809 - 122.8?\nAnswer: -86931.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47a96 (base 11) in base 7?\nAnswer: 405511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727975707.\nAnswer: 1727975707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6949018 is divided by 2316290?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17097 (base 12) to base 8.\nAnswer: 100263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (3 + (-74 - -39))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -r + 272, -4*d + r + 41 + 231 = 0. Suppose -d = -6*u + 4*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = 8. Let s = -3476\/129 - 246\/43. Let o = -33 - s. What is the second biggest value in u, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 133\/38*(96\/(-28))\/(-3). Solve -5*z = -l + 3, -o*l + 6*l = 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 6*t**2 - 9*t + 9. What is k(-7)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:11 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4461694, 4461697, 4461702, 4461709, 4461718, 4461729?\nAnswer: 4461742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 29*x + 226 - 16 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 5. Let a be c(2). Let p be a*(-32)\/(-20)*5\/(-2). Let t be -3 + 44\/16 + 33\/p. What is the greatest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/9 - 38*k**4\/9 + 94*k**3\/9 + 38*k**2\/9 - 32*k\/3 = 0.\nAnswer: -1, 0, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 8:28 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**2 + 0*x**3 - 2*x**3 - 11*x**2 - 3*x**3 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70835637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*s*v - 3*m**2*s - 3363*m*s*v - 79*m*s + m - 2*s wrt v?\nAnswer: 2*m**2*s - 3363*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (148\/(-16) - -4))\/((-20)\/(-504))?\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5649 - -5654.082. Let i = c - 0.082. Sort i, -4, -1 in descending order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 2, k: 3, c: 4}. What is prob of sequence bknc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {u: 2, h: 1, x: 7, i: 7}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*y = -25*y + 1080. Is 65 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/3822865 and 63\/680510.\nAnswer: 129977410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 10. Let u be v(2). Do u and -5\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236590589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6 + 9?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617) - (-1*sqrt(1617)*-4 + sqrt(1617)))*1)\/((sqrt(77) - -5*1*sqrt(77))\/(2*(sqrt(7) - (sqrt(7) - sqrt(28))))).\nAnswer: -56*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 4, a: 6}. What is prob of sequence yymy?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35a (base 12) to base 14.\nAnswer: -27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86785, 87465, 88147, 88831, 89517?\nAnswer: 90205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 56*z**2 - 21*z - 84. Let a(f) = -2*f**2 + f + 14. Give 6*a(q) + y(q).\nAnswer: 44*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 5*a - 1. Let z be l(-9). Round z to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -274*u**2 - 1982*u + 9. Let h(q) = 5*q. What is g(h(y))?\nAnswer: -6850*y**2 - 9910*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 12 = w. What is the tens digit of w\/(-3)*(-47)\/(-2) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (21 + -40)) + 2 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*o + 32709 = -32886, x - o - 13121 = 0. What is x rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3842988679 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 + 29*a**2 + 27*a - 91. Let q(u) = -u**3 + u**2. Let o(g) = -5*q(g) + r(g). List the prime factors of o(-21).\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32491.\nAnswer: 32491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -2, 5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12295474, -24590948, -36886422?\n\"Answer: -12295474*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 34*f**2 + 2*f - 40. Let t(w) = -w**3 + 17*w**2 - w + 20. Let p(s) = 2*h(s) + 5*t(s). Let u be p(17). Solve u*j - 20 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12879 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 41525342?\nAnswer: 41525335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2165*w - 125573. Calculate a(58).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 263 - 412. Suppose 4*d + 4*j - 1004 = 0, -2*d = 3*d + j - 1259. Let s = u + d. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvevrbev. Give prob of picking 1 e and 3 v.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 - (-158)\/(-316)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (246\/(-1025))\/((-6)\/(-20))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1087864 and 189278?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166137904651 - 14.\nAnswer: 166137904637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - u)*(-4 - u + 4 + (0 + 1 + 1)*(-6*u + 3*u + 2*u) - 35*u + 18 - 18).\nAnswer: 76*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by -301.\nAnswer: 39\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:09 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6\/7)*j*j)\/(j*j\/j**19))\/((j**(-6)\/j)\/j**(-2\/7)) assuming j is positive.\nAnswer: j**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/((-7)\/154). Suppose 0 = -3*s - 4*h - 13, -2*h + h - n = 5*s. Calculate the remainder when (5 + s - 0) + 1 + 5 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 454.81 * 502\nAnswer: 228314.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**5\/2 + 3201*s**4\/2 - 849429*s**3\/2 - 9597*s**2\/2 + 1277331*s - 849420 = 0.\nAnswer: -1287, -2, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 7*c - 1. Let f be w(7). Let j be f\/((-75)\/18 + 4). What is the second derivative of -5*k**3 - 13*k + j*k + k wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2. Let a(n) = -444*n**2. Determine a(j(q)).\nAnswer: -1776*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = 5*p - m, 4*m - 9 = -3*p. Suppose -3 = p*i, -4*n = -2*n - 3*i - 21. Solve 0 = -2*a + 3*z - 0*z - n, 8 = -a + 5*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/270*-15)\/(13\/(-286)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1225692 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14643 + 31?\nAnswer: -14612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2725*(-18)\/(-270) + (-2)\/(-6). What is the greatest common divisor of 42 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14956, -29884, -44788, -59668, -74524, -89356?\n\"Answer: 12*m**2 - 14964*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -75931.74.\nAnswer: -75931.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 13. Let q = 4 + c. Is ((-1)\/q)\/((-2)\/(-318)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q - 627 = 1125 + 1188 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257648 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5651000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 844.339 + -844. Let n = 0.061 + t. What is the closest to 2\/9 in n, 0, -4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**2*q**2 - p**2 + 3*p*q**3 - 5*p*q**2 - 347*p*q + 8*q**2 wrt q.\nAnswer: -2*p**2 + 18*p*q - 10*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 307981287 to the power of 1\/2, to the nearest integer?\nAnswer: 17549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*q + 4 = 0, 3*r + 3*q + 2*q = 5. Let j(w) = 3 - 4 + r + w**3. Give j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 417256 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + -0.1. Let i = -43 + 43.1. What is the nearest to 0 in 4, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-186)*(-549)\/(-732)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*q + 3*i - 72, -2*i = 8. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/5)*(p\/p**(4\/5))\/p*p*(p**32)**(7\/9) assuming p is positive.\nAnswer: p**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(52) + 2 + 2 - (sqrt(13)*4 + 5 + sqrt(91)\/sqrt(7) + sqrt(13) + 2).\nAnswer: -4*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7752170 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 459071704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -22*o**3 + 3*o**2 + 6*o + 3. What is g(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*z - 6338*z = 5861*z + 406674 - 14927 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + 13ba65?\nAnswer: 13ba81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18c3 (base 14) in base 13?\nAnswer: -206b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1463 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2*sqrt(117) + sqrt(117))*3 + sqrt(117)))\/((-3*sqrt(90))\/sqrt(10)*3).\nAnswer: -10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -356, 0 in ascending order.\nAnswer: -356, 0, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 888 = -80*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552958577?\nAnswer: 19, 29103083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2317419\/119 + -19474. Let u = p - -3\/17. What is c in -u*c + 2\/7*c**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, 23\/4, -0.1 in descending order.\nAnswer: 186, 23\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.47, 10, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(21\/(-6)))\/1 - -657. Suppose -l = -11*g + 5. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 52. Let b(t) = 6*t - 22. Calculate the remainder when b(x) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-13 + 7 - -40) - (-4 + -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*m - 16, 3*q - 19 = 7172*m - 7177*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 17. Let y be g(13). Let a be -3 + 20\/y + 0. Let j = 43 + a. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - (-6 + 1)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 6*b + 2. Let u be i(4). Suppose -20*f + 12 = -188. What is the highest common factor of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 7*f - 28. Suppose 0 = -2*w + 4*a - 20, 4*a = -2*w + f*w + 32. Calculate the least common multiple of 128 and ((-40)\/6)\/((-3)\/(-18)*w).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17911 - -17907. Let u be -19*(-2)\/(-18) - -2. Let x = 4\/9 + u. Which is the nearest to -0.2? (a) x (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 3*j - 3*j**2 + (0*j + 0*j + 2*j)*(121 - 121 - 2*j) as s + t*j + i*j**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w + 74*w + 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629279055 to the power of 1\/2, to the nearest integer?\nAnswer: 40364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10118264 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -623349*r**2 + 2*r - 40148730 wrt r?\nAnswer: -1246698*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 51288 (b) -3 (c) -5 (d) 0 (e) -0.3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12291220 divided by -1?\nAnswer: 12291220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*n = 3*n + 86, -3*h - 4*n + 77 = 0. Solve 4*z - h = -7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.511 to the nearest integer.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b**3 + 6*b**2 - 6*b - 4. Let g(r) = -r**3 + r**2 - r - 1. Let j(c) = 5*g(c) - v(c). What is the remainder when 27 is divided by j(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 8*s - 2. Give y(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - 4*a - 3*a)*(-4*a + 0*a + 2*a + (-13*a + 8*a - 4*a)*(-1 + 1 + 1) + 2*a - 2*a - 2*a + (5 - 2 - 1)*(0 - a + 0)) to q + z*a**2 + h*a and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 - 6)) + -1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2389*i**5 - 2*i**4 - 15*i**3 - 22190840*i**2 wrt i?\nAnswer: -143340*i**2 - 48*i - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z - 9*z + 2*z in the form r + c*z and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 5, c: 1, p: 1, s: 3, e: 1}. Give prob of sequence pccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/431764 and -73\/12?\nAnswer: 1295292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25100001*n + 2. Suppose -7*p + 10 = -12*p. Let i be y(p). Round i to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:41 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 + 5 + -6 + 3)) + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -308*v**2 - 26. Let t(x) = -3*x - 79. Give t(k(d)).\nAnswer: 924*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 57. Let s be n(-17). Suppose 1 = -x, s*t + x = 2*t + 31. Let p be ((t\/4)\/6)\/((-2)\/6). Are -2\/187 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3\/16*2. Sort v, -2\/7, 3 in ascending order.\nAnswer: -2\/7, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -337 - -386. What is the remainder when 289 is divided by b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*n + 3, m - 4*n + 37 = 6*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-36) + 4\/18. Suppose 0 = 4*o - w*o + 4. Let i be o + 0 - (-35)\/7. Let n(k) = k**3 - 4*k**2 + 4*k - 5. Give n(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162067118.\nAnswer: 2, 61, 193, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 2*y**2 - 2*y**3 + 1)*(-2*y**2 + 4*y**2 + 0*y**2).\nAnswer: -4*y**5 + 4*y**4 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-626)\/2191)\/(((-2)\/(-4))\/((-3)\/(-12)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/10 of a decade?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and 32 + -32 - (-49)\/(-116830).\nAnswer: 66760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 6*g**3 - 5*g**3)*(1 + 3 - 3) + (1 - 5*g - 1)*(0*g + 0*g + 2*g**2).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 18*u**2 - 2573*u + 17867. Give i(7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 32*i**2 - 30*i + 1. Let z(d) = -12*d + 7. Let h be z(2). Let y = -5 - h. Calculate the least common multiple of y and k(31).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 78. Suppose -x = -f + w - 4*w, 3*f = -4*w + 20. Suppose -i - 326 = -2*z, -f*z + 642 = i + 2*i. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t + 3. Let u be k(-3). Let l = u - 8. What is the remainder when 50 is divided by 0\/(l - 3) - -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/30656 and 3\/2176.\nAnswer: 1042304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13 = n, 3*p - 5*p = -2*n - 2. Suppose -3*r - 1 = 4*c, -c - n*r = 2*c. Let w be (c\/(-8))\/(9\/8). Is w smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1351*x + 330. Is m(-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**6\/120 - 7*z**5\/80 + 17*z**4\/48 - 17*z**3\/24 + 3*z**2\/4 + z + 1. Factor b(x).\nAnswer: (x - 3)*(x - 2)*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34*3*(-35)\/(-30). Let w be h\/(-210) + (-2)\/(-5). Put -0.2, w, -4 in descending order.\nAnswer: w, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 596*f**5 - 766*f**2?\nAnswer: 35760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 757*l**5\/30 - l**4\/3 + 5*l**3\/6 + 60*l**2. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*5107848\nAnswer: 10215696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:06 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1ccd8 (base 15) to base 11\nAnswer: -64710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 13. Suppose 0 = -u + 16*u - 390. Calculate the highest common divisor of u and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14*n**2 + 35*n**2 + 72*n**2. Suppose 0 = 3*w - 2 + 5. Is q(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 343982088531.\nAnswer: 343982088526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070647.8 rounded to the nearest 100?\nAnswer: -1070600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*p + 66*p - 110*p to the form v + c*p and give c.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0294, -1\/6, 760?\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1370 + -905. List the prime factors of h.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 8*l + 7*l)*(-88*l + 88*l + 20*l**4).\nAnswer: -40*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.43 - -29.3. Which is bigger: 0.4 or r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/113))**(-4\/15) assuming x is positive.\nAnswer: x**(-8\/1695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o - 3*o - 5*o + (4 - 5 + 3)*(4*o - 2*o - 3*o + 2 - 2 + 2*o + (3*o - o + 0*o)*(3 - 2 - 3)) in the form y*o + v and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 2*n - 2*n**2 + 0*n + 30 to o*n**2 + d + p*n and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 0, 14, -358, -1, -2.\nAnswer: -358, -90, -2, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 67. Let j be ((h\/7)\/(-1))\/(28\/(-98)). Suppose j*t + 163 = a, -2*a - t = t - 308. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 67 = 3*x - 52, -3*d = -4*x + 207. Let f be (8\/(-18))\/((-16)\/x). Factor f - 7\/3*n**2 + 4*n.\nAnswer: -(n - 2)*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111100001101011101 (base 2) in base 10?\nAnswer: -508765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/4 - j**3\/3 - 5*j - 2. Let x be z(0). Let u(f) = 656*f - 9 - 328*f - 329*f. Give u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -22883, -5, 1, 0 in decreasing order.\nAnswer: 8, 1, 0, -1, -5, -22883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 7 = 209*w - 212*w, 0 = -3*w - 3*g - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 25*o - 60. Let d be (1 + -1)*5\/(-10). Suppose d = 4*w - 34 - 2. Is 11 a factor of b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 divided by 5?\nAnswer: 408\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/130 and 53\/86510554.\nAnswer: 432552770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 + 62*j - 9. Let t be c(6). Let m(r) = -r + 0*r + 3*r + 1 - 2. Calculate m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*y + 21 = -197*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -17) + -24 - -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -1\/4, 17, -0.1, 4, -1\/346, 4\/23?\nAnswer: -1\/346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 564, -3358, -9894, -19044?\n\"Answer: -1307*p**2 - p + 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 32*b + 6 - 13*b - 16*b. Determine p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:38 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-12 - (-18 + 13)) + 56 - (-10 + 20))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -228 in -6, 40, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 514 = 2*w - 138, -378 = 2*w - 2*u. Let o = w - -307. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:50 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Suppose 13*w - w**3 - 2*w**3 - 12 - 5*w - r*w**3 + 16*w**2 - 4*w**4 = 0. What is w?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1725 - -1731. Which is the nearest to p? (a) -3 (b) 9 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 248771*g = 248774*g - 39, 57 = -2*f + 9*g for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8771.921 minutes?\nAnswer: 526315260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(44) + (sqrt(11) - -2*sqrt(11)) + -2)*-6.\nAnswer: 36 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iih. What is prob of picking 1 h and 1 i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 - 36 - 390)*(k**2 - 3*k**2 + 0*k**2 + (-3*k + k + 0*k)*(-2*k + 4*k - 4*k) + 0*k**2 - 3*k**2 + 2*k**2 - 3*k**2 + k - k - k**2 - 4 + 4).\nAnswer: 1584*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2715*r**2. Let a(s) = -2482*s**2 - 2482*s**2 + 7449*s**2 - 2484*s**2. Give a(u(m)).\nAnswer: 7371225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/(-756)*910\/30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3063 + 3064.16. What is the third smallest value in -4\/5, -5\/2, h, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2436 = -2*f + 4*a, a + 1212 = -f. Let q be -2 + f\/(-6) + (-4)\/(-6). Suppose 8*t - q = -1. Solve -5*c = -5*x + 40, -5*c + 0*c = -2*x + t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010112200 (base 3) to base 16.\nAnswer: -f0c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w**2 + 221*w - 3765. Give v(16).\nAnswer: -2789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 38.1 (c) -421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40052 - 13?\nAnswer: -40105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.5. Let r = -107857\/5 + 21571. Which is the biggest value? (a) w (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179653 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 334)\/((-14)\/(84\/9)). Let l = -213 - a. Let f(p) = -2*p + 9. Give f(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -446\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2*155\/124. Suppose 0 = -8*g + 8 + 16. Suppose 2*c + r = 8, -5*r = -r - 16. Solve p*y = c*y - g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 4*o - 8. Let q(s) = 7*s**3 - s**2 - 2*s. Suppose 0 - 1 = g. Let w be q(g). Let h be d(w). Solve 0 = 2*n + h*z + 3 + 1, -2 = -4*n + 2*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/54 + (-69708)\/(-27). Suppose -2*g = -o + 2574. Solve -s - 1 = g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 5*r**2 - 2*r**2)*(2*r**3 + 30*r - 30*r).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4831 - -4847. Suppose -3*g - g - 48 = 0. Let x be (-3)\/2*g*o\/36. Which is the second smallest value? (a) -3\/5 (b) x (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36834 and 129102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4*z)*(22 - 25*z**2 - 22 + (-z + 0*z - z)*(-6*z + 3*z + 2*z) + 2*z**2 + 0*z**2 + 0*z**2).\nAnswer: 84*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - 8. Suppose 0 = c - 12 - j. Suppose 0*r + 5*r = c. Solve -u = -r - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*g**3 + 201*g**2 + 114*g + 9.\nAnswer: 3*(g + 1)**2*(32*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + 0*o**2)*(60*o + 0 - 1 - 61*o) + 0*o**3 - 5*o**3 + 2*o**3.\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -294 or 0.03?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2991, -1881, -771, 339?\n\"Answer: 1110*t - 4101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871838?\nAnswer: 2, 3, 103991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1696*k**3 + 3769*k**3 - 1822*k**3)*(-4*k + 2*k + 4*k) as n + i*k**4 + a*k**3 + j*k + v*k**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*z + (z + 3*z - 3*z)*(1 + 3 - 3) + (-25*z + 41*z - 47*z)*(-5 - 2 + 4).\nAnswer: 91*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 57*z + 7311. Give t(-110).\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*v - 27. Suppose m - 1 = f, 4*m = v*f + 3*m - 11. What is the derivative of 7*z**2 - 10 + 3 + 10*z**2 - f wrt z?\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -10 - 8) + 1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 39*t**5\/5 - 2*t**3\/3 + 7*t**2\/2 + 34. Find the third derivative of p(h) wrt h.\nAnswer: 936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -79*f**3\/6 - 107*f**2\/2 - 5*f - 1. Find the first derivative of c(q) wrt q.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1754923 and 3.\nAnswer: -5264769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l + 3. Let x be b(0). Suppose -x*w = 2*w - 5. Let a be (-90)\/6*((-15)\/9)\/w. Are 26 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 0*n + 5528 = -49192. What are the prime factors of n?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010438188?\nAnswer: 2, 252609547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 6592393.9\nAnswer: -791087.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 - d**5 + 2*d**5 + (1 + 4 - 2)*(3*d**5 - 3*d**5 - 3*d**5) + (-2*d**2 - 3*d**2 + 4*d**2)*(d**3 + d**3 + 0*d**3).\nAnswer: -13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 + 226. Let a be (13\/(-39))\/(2\/(-12) + 0). Suppose 3*y + a = b. What is the remainder when 64 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37\/(27\/(-72)*4 - -2) + -6. Let m = -51 - -30. Let g = v - m. Is 49 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 110. Suppose 3*i + 2*r - t = -r, 3*r + 16 = 4*i. Suppose 2 = -d + i. Solve 0 = -2*v - 2, 3*b - 17 = d*v - 0*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, -143, -295, -445, -593?\n\"Answer: v**2 - 157*v + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 10) to base 11\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 2*t - 466 = 0, -2*g + 5*t = -475. What is the greatest common factor of g and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*j, 5*n + 2*j = -2*j - 84. Let c = -15 - n. Suppose -3*d + 2*b + 144 = 0, 4*d - d - 144 = -c*b. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/28 - ((-115)\/(-70) - -1). Let k = -2 - 2. Which is the third biggest value? (a) 1\/4 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (20675\/(-2) - 1\/(-2)). Let v = x - 7200. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14604*f = 7691*f + 207390 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 392352.9906 take away 0.3?\nAnswer: 392352.6906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*r + 12, 0*t = 4*r - 2*t + 8. Suppose -k + 3*v + 8 = 0, 29 = 3*k - 5*v - 3. Suppose -4*f = o - 8, 4*f + 2 + k = 5*o. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:33 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(1\/32)\/((x\/x**0*x)\/x**13) assuming x is positive.\nAnswer: x**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 3. Let c be p(3). Let l be ((-6)\/2)\/(c\/(-24)). Let n be (1\/2)\/((-4)\/l). Solve 7*v - 4*v = -4*i + 7, -2*i - 3*v = n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 58, -4, 65, 75, 2 in increasing order.\nAnswer: -4, 2, 3, 58, 65, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*d = -748*d + 22664 + 11292 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3718*z + 3714*z - 3 - 7435*z + 3.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2*o**3\/3 - 77. Let g(a) = 11*a**2. Calculate g(j(r)).\nAnswer: 44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + 0*u**2)*(-1 - 2 + 2)*(4 + u - 4)*(3*u - 11*u - 6*u) + (-55*u - 46*u**3 + 55*u)*(-62*u + 37*u + 4 + 34*u).\nAnswer: -442*u**4 - 184*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 12:09 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 5*f - 4*f. Let u = f + 263\/3. Let h = 9 + -4. Which is the second biggest value? (a) h (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118135386.\nAnswer: 2, 3, 29, 226313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*y**3 + (1 + y - 1)*(-4*y**2 + 6*y**2 - 4*y**2) + (-1 + 2*y + 1)*(y - 18*y**2 - y) + (-1 + 1 - y**2)*(-y - 2*y + 4*y).\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {z: 2, d: 3, y: 4, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 780592 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 3*p**4\/4 - 7*p**3\/2 + 3*p**2\/2 + 14*p. Let d(v) be the first derivative of f(v). Is d(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 2*j**4 + 0*j**2 + (-j + j + j**3)*(-30*j + 33*j + 41*j).\nAnswer: 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/724 and -123\/47060.\nAnswer: 47060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g**3 + 2*g**3 + (-2*g**2 - 1 + 1)*(3*g - 5*g + 4*g) - 3*g**3 - 3*g**3 + 4*g**3)*(40*g**2 + 24*g**2 - 18*g**2).\nAnswer: -230*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 + 4*y + 1. Let g be k(-5). Let m = -369 - -630. Let n = m + -240. What is the greatest common divisor of g and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - o - 2, z + 3*o - 5 = 2*z. Let m = z + 7. Suppose 0*w + 34 = 2*w + 2*u, 0 = -2*w + 4*u + 10. What is the remainder when w is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7539349.\nAnswer: 7539349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42314, -77500, -112666, -147806, -182914, -217984, -253010, -287986?\nAnswer: -322906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -14. Let o be 45\/5 - (r - -4). What is the second derivative of 5 + b + o*b**3 - 5 + 10*b wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -39, -78, -131, -198, -279, -374?\n\"Answer: -7*h**2 - 4*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.45 * -0.262.\nAnswer: -0.1179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) -9 (c) -1\/4 (d) 44 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 + 9 = 0. Suppose 0 = -5*c + l*c + 6. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -31, -71, -137, -235?\n\"Answer: -p**3 - 4*p**2 - p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 202616.235ms?\nAnswer: 0.0023450953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22022446801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*t**2 + 209632*t + 6 - 5 - 209603*t in the form r*t**2 + s + g*t and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 603 and -249?\nAnswer: -150147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5348)\/(-20) + (0 - (-4)\/(-10)). Suppose 0 = q + b - 85, -b + 164 = 2*q - 8. Let a = h - q. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 354 and 1357?\nAnswer: 8142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -48765 (base 11) in base 2?\nAnswer: -10001000111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nncnnnnnnnnnnnnnnnnn.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2508 and 372780?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/4 + 33*s\/2 + 32 = 0. What is s?\nAnswer: -64, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108557?\nAnswer: 108557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**21\/f)**(2\/23))**(-26) assuming f is positive.\nAnswer: f**(-1092\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11521 + -92159\/8. Let r(v) be the first derivative of 1\/12*v**3 - 1\/40*v**5 - 1\/8*v**4 + 21 + 3\/4*v**2 - t*v. Factor r(c).\nAnswer: -(c - 1)**2*(c + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464*l*m**4 - 31*l*m**3 - 9*l*m**2 - l*m - 2*m**4 - 3*m**3 - 23*m**2 - 8*m + 1 wrt m?\nAnswer: 11136*l*m - 186*l - 48*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99291 = -3*j - 2*d, -165517 = -5*j + 47*d - 45*d. What are the prime factors of j?\nAnswer: 79, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 8. Let s be m(6). Suppose 0 = -0*k + 3*k + 66. Let r be 0\/(-2) + 11\/k. Which is the biggest value? (a) s (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39150 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 7 = 12*l. Let u be (l - 1)\/54*(-4 - 4). Let 4\/9*q**3 + 0*q - u*q**5 + 0 - 4\/9*q**4 + 4\/9*q**2 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(50) + sqrt(1250))*6)\/(sqrt(70)\/sqrt(7)*2)*-1)**2*-1 + 2.\nAnswer: -40498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 - 14*h**3 - 177*h**2\/4.\nAnswer: h**2*(h - 59)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 4*l**2 - 3*l - 2. Let a be b(-2). Suppose 0 = -o + 6*k - k - 2445, -3*o = -a*k + 7357. Does 42 divide 10\/65 - o\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -220, -713, -1642, -3145?\n\"Answer: -23*y**3 - 11*y**2 - y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645281557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3016 - 832 = -296*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w + 6. Suppose -2*i = 3*i + 2*k - 74, -63 = -3*i + 5*k. What is the remainder when g(-6) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11.76. Let g = -2.06 - -2. Let b = i - g. Which is smaller: b or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-162)\/(-70) - 6\/(-21) and (32\/(-70))\/(6\/(-15)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/41, -4, 4?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(1 + -4 - (-10)\/6). Suppose -63*p + 490 = 7*p. Put i, p, -2, -5 in increasing order.\nAnswer: -5, -2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-7) - 9 - (172\/28 - 3). Put 32, i, 22 in increasing order.\nAnswer: i, 22, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 2*f + 4*f)*(6*f**3 - 9*f**3 + 20*f**3) to g*f**3 + p*f**2 + m*f**4 + t*f + a and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4025)\/(-6325))\/(1\/11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.138 - -6.838. Let r = 1144251783.70000049 - 1144251777. Let o = r - b. What is o rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -89 - 597*f + 598*f + 41 + 48. Let i(z) = z**2 + 16*z. Give -b(o) + i(o).\nAnswer: o**2 + 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -17, -41, -75?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 18*g + 405.\nAnswer: (g - 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -14. Is (-72)\/(-30)*b\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-5)))\/v*v\/v**28*v)\/(v**(1\/13)*(v*v**16)\/v) assuming v is positive.\nAnswer: v**(-495\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47940 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 22370.\nAnswer: 738210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -119*n**2 - 91*n - 91. Let z(v) = -4*v**2 - 3*v - 3. What is -6*g(w) + 182*z(w)?\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5333637*u**2 - 5333537*u**2 + 29 - 29.\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 21 = -t - 6*p, -4*t + 3*p + 8 = 0. Do -1\/8 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, x: 4, k: 2}. What is prob of sequence xex?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 5) to base 9.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:06 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 4, -7.\nAnswer: -7, 0.3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psp when three letters picked without replacement from sspspspspsppsssppp?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3)\/x*x*(x*(x\/x**6)\/x)\/x)\/(x**5*(x**6\/x)\/x) assuming x is positive.\nAnswer: x**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91*p + 93*p - 99*p)*(4*p - 6*p + 3*p) as b*p**2 + v + i*p and give b.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 72, 102, 132, 162?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 10*q**3 - 33*q**3 - 5717 + 5717.\nAnswer: -39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 4. Let z(h) be the third derivative of h**5\/120 + h**4\/8 + 18*h**3 - 79*h**2. Let b(s) be the first derivative of z(s). Give 7*b(n) - 5*x(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u + 10*u + 5*u + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108472 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549 + 202 + 1002 = -419*t - 1440 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -645 + 2225. Suppose 9*m + n = 14*m. Find the second derivative of 316 - 11*u**3 - 15*u - m wrt u.\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40962619361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8076339 centuries in months?\nAnswer: 969.16068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/40062544 and -21\/64.\nAnswer: 160250176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7243d (base 14) to base 12\nAnswer: -113347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 833290*n + 4166475.\nAnswer: -(n - 833295)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -7*u**3\/3 - 5*u - 66. Let v(w) = 7*w**2 + 6. What is 5*v(b) + 6*y(b)?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -32386 bigger than 443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o - 73. Give f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72430?\nAnswer: 2, 5, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-117)*3\/(-2). Let r = -1\/78 - a. Factor r*g**2 - 4\/3*g + 4\/3.\nAnswer: (g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 5*n - 103. Let x be g(13). Let p(m) = 35*m**3 - 2*m**2 + 3*m - 2. Let v be p(x). Calculate the greatest common divisor of 6 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -88 - (189 + -225).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56 times -7707\nAnswer: -431592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 186\/(-135) - (-6)\/(-15). Let k = r - -62\/45. Let g = -1\/4070 + 2443\/4070. What is the second biggest value in k, g, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*t = -23, 4*c - t + 3 = 4. Let i be ((-313)\/10)\/((-20)\/(-50)). Let o = 79 + i. What is the closest to c in 2, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4377)*(-3)\/(-3). Let f = c + -2972\/39393. Suppose 2*h + 2*h + 12 = 0. Put f, h, -4 in decreasing order.\nAnswer: f, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 144800002 and -0.021715.\nAnswer: 144800001.978285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 158. Let i = d + 44. What is the units digit of i + 2 + (-357)\/(-3) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(4 - (-37)\/(-2)). Suppose -2*n - 4*q + 5 = -r, 0 = -n + 4*q + 47. What is the smallest common multiple of ((-8)\/3)\/((-3)\/n) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 592 and 4.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 30 = -3*r - 4*v, 4*r - 2*v = 30. Solve -4*b - 1 - 6 = -5*c, c = -3*b + r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*q + 6*q + 17, -1 = -4*q - 3*f. What is the nearest to -1 in -3, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5491548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*147\/(-168)*(276\/8050)\/(63\/15).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 - z - 13. Suppose -l + 4*x + 11 = 0, 10*x = 4*l + 6*x + 16. Is g(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 846 + -759 + (-183 - 4)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 7*c - 7. Let s be m(-4). Suppose 3*a = s*n - 115, 0*a - 4*a + 98 = 3*n. Calculate the highest common factor of 65 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 74761 = -10*z - 5*y, -3*z + 74817 = 3*y. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*m + j + 21, 32*m - 2*j + 10 = 31*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2270756 and -61\/56?\nAnswer: 31790584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 558.8 - 119570558.\nAnswer: -119569999.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18279 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 164030500 rounded to the nearest 1000000?\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/84)\/((12\/(480\/(-1250)))\/2)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 2:59 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-549)\/427 - 494\/(-14). Solve 270 = -x*j - 20*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-36)*(5*-1 - 1). Let a be 1*(t + -7 + 3). Put 38, -5, a in descending order.\nAnswer: 38, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**3 - 2*m**3 - 3*m**3 - 9*m**5 + (-2 - 98*m + 0 + 79*m)*(7*m**4 - 3*m**4 - m**4).\nAnswer: -66*m**5 - 6*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2815, -27, 5, 1 in increasing order.\nAnswer: -27, 1, 5, 2815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100078185 divided by 3.\nAnswer: -33359395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -4*n + 10, -u = -5*n + 5. Solve n = -3*b + 4 - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157\/330 + 4\/165. Factor -2*b**3 - 3\/4*b**4 + 0 - 3\/4*b**2 + p*b.\nAnswer: -b*(b + 1)*(b + 2)*(3*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -780 by 20.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9107306 is divided by 910722.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.51489 nanometers in kilometers?\nAnswer: 0.00000000006251489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 493 = 3*w + 4*v, -w = -v - 163. Suppose 2*p + 39 = w. Let f be 1\/(0 + (-30)\/(-14) + -2). Calculate the greatest common factor of p and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14484 = -100*a + 102*a, 14480 = 4*y + a. List the prime factors of y.\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3620*q + 270094 - 9454 for q.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3672 and 425.\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 0.2, 70267\/7?\nAnswer: 70267\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 16 + 89. Suppose -2*o + 1 + 49 = 0. Let c = l + o. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1513*b - 520*b + 342 - 342 + 1299*b to the form z*b + k and give z.\nAnswer: 2292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 17*t + 14*t - 2*t to the form k + p*t and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 23 = 7. What is the least common multiple of 32 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 28 - 72. Let m = -127 - -264. Let f = -147 + m. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*9*((-2173)\/(-123))\/(-53).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-72) + 26\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + 2*a**2 - 5*a**2)*((-3 + 3 - a)*(-a - a + 0*a) + (-1 + 1 + 2*a**2)*(5 - 1 - 3)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 135*y + 2761 = 121 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 8*x**2 - 6*x + 17. What are the prime factors of q(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/56 of a week?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, -223, -1213, -3235, -6625, -11719, -18853?\nAnswer: -28363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 79*i - 62*i.\nAnswer: -146*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248053.\nAnswer: 13, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14630 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -53*g**4 + 21*g**3 - 351*g**2 + 320*g. Let l(u) = 23*u**4 - 11*u**3 + 176*u**2 - 160*u. Let n(w) = 4*f(w) + 9*l(w). Suppose n(q) = 0. What is q?\nAnswer: -8, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/67 in -0.1, 7, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(-2 + -1*(sqrt(27)*6 - (sqrt(12) - sqrt(192) - sqrt(12))\/sqrt(4))**2).\nAnswer: 8729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:09 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from mfmffmmfff?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 38 (b) -3 (c) -0.5 (d) 13217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**9\/14400 + a**8\/2800 - a**7\/2100 - a**5\/12 + 30*a**2. Let m(b) be the third derivative of g(b). Factor m(d).\nAnswer: 3*d*(d + 2)*(7*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*l + 237*l + 80*l)*(-l**3 - l**2 - l + l**2) to z*l**2 + a*l**3 + f*l**4 + d*l + y and give f.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/35)\/3)\/(4\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 - 7.74. Let b = 24 - n. Let z = b - 78. Are 0.1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 22*u - 247. What is the remainder when h(48) is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 6*d + r, 0 = 2*d + 3*d + r + 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 2*m - 7. Let c be u(-3). Suppose -2*k + 4 = h, -3*k = 5*h + c + 7. List the prime factors of (-2)\/h*0 + 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 16. Let k = -51.95 - -52. Let p = -9.95 - k. Put l, -1, p in descending order.\nAnswer: l, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 517*s + 290*s + 7263 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 62. Let m be l(9). Suppose 5*v - 5*x - m = 0, 4*v - 7*x = -5*x + 62. Calculate the remainder when 41 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42354 + b**2 - 3*b**2 + 42354 - 36*b.\nAnswer: -2*b**2 - 36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.052 (b) -0.4 (c) -5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 13*x - 27 = 0. What is the smallest common multiple of x and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/15*g**5 + 2*g**4 - 26\/3*g**3 + 0 - 8*g**2 + g. Solve k(b) = 0 for b.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*a - 615 + 252. Solve a*b + 8 = 15*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 32, 70, 124?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -t, 2*t + 4*w - 29 = -5. Suppose 4*y = -4, l - t = -7*y + 10*y. Let x = 22\/13 + -49\/52. Sort -1, x, l in ascending order.\nAnswer: -1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {u: 6, k: 10, h: 4}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 1 = 5*t, -t + 0*x = x - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**4 + m**2 - m. Let r(s) = -25*s**4 - 6*s**2 + 6*s - 78. Let h(i) = 6*n(i) + r(i). Find the first derivative of h(p) wrt p.\nAnswer: -124*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 2. Let d be t(4). Let k(v) = v**3 + 19*v**2 + 17*v - 16. Let p be k(d). Suppose 0 = p*r - 125 - 133. What are the prime factors of r?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44609 - 44609 - 1863*b.\nAnswer: -1863*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/15 in -5, -32412, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - (61 + 77)) + 74?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 3*k. Let n be c(2). Suppose -25 = -2*u - n*m + 15, 3*u - 52 = -5*m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 16014733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 978449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*c - 135 = -74*c. Is ((-596)\/(-10))\/(2\/c*9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -1\/5 (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 11:42 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, c: 1, u: 1, f: 2, m: 3, z: 3}. What is prob of picking 2 m and 1 c?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 22*t**2 - 47*t + 35. Let v be r(-24). Let f(i) = 3*i**3 + 2*i**2 + 28*i - 8. Is f(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10011011000000011?\nAnswer: 10011011000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 8 - 5 - 3*i)*(2 - 5 + 7).\nAnswer: -4*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110954 and 1392?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1880.8758 + 414309.\nAnswer: 412428.1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l. Let f = -4 - -6. Let t(h) = -2*h + 4*h - f*h + h. Determine t(r(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/93357678 and 149\/14136.\nAnswer: 373430712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4249 + 3697. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**8\/6720 - b**7\/360 - b**6\/240 + 7*b**5\/120 - 7*b**4\/6 - 12*b. Let q(a) be the third derivative of s(a). Determine q(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 8640?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66002841?\nAnswer: 3, 79, 92831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 6 - 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.07, -2\/17, 2\/11, 1\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 38*x - 40*x + 1, f + 62 = 5*x. Solve x*y = 95 - 51 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*20\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668377?\nAnswer: 61, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 22) + 17 - (7 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/(-11) + 2 + 1. Let f be (1 - 16\/8)\/(70\/(-20)). What is the smallest value in 3, f, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6732\/170)\/(-11*(-87)\/(-3190)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66 + 5*o**2 + 135*o + 3*o**3 + 54*o**2 + 13*o**2.\nAnswer: 3*(o + 1)**2*(o + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(605))**2 - sqrt(605)) + -1 - (sqrt(35) + sqrt(315)\/(sqrt(18)\/sqrt(2)) + sqrt(35) + sqrt(35))\/sqrt(7).\nAnswer: -15*sqrt(5) + 5444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwpwppwppwpp. Give prob of picking 3 p.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 + 36*d**2 + 58*d - 96 = 0.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 3 - 4*s + 3*s. Let x be 1*-5 - (3 + -5). Determine r(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12096)\/120)\/(-12))\/(4\/(-10))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14.3 (b) -1173 (c) 0.161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 110580*d**3 - 11313840*d**2 - 385063600*d - 4366281360.\nAnswer: 5*(d - 22218)*(d + 34)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 8883?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -23. What is the remainder when (59\/3)\/((-4)\/s) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*g + z, -5*g - 3*z = -9*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -2\/9 (c) 1 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -81bb65 (base 12) to base 13\nAnswer: -561c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -4\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -13. Suppose l = -2*k + 326, -k - 163 = -z*k - 2*l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:03 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3*l)*(l - l + l) + (-3*l + 0*l + l)*(l - 2 + 2) - 2*l**2 + 4*l**2 + 0*l**2 + (0*l + l**2 + 0*l)*(-1 + 0 + 2) as v*l**2 + n + p*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-19 + 16 + 2 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/71, -8, 0, 3 in decreasing order.\nAnswer: 3, 4\/71, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from uuauuadddurddad?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*g - 735 = -2583 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6 - (-15 + 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - z + 4*z - 70, 5*b + 317 = 4*z. Suppose -3*u + 336 = 51. Let s = u + b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*n = -7*x + 10, 2*x + 20 = 2*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 4*x + 29548 = -26*q, 4*q - 118073 = -x. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 30 + 62. Which is the closest to -1? (a) 0.2 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.43 or -41\/9753?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = 4*g, -m + 5*g - 43 = -113. Let a be m\/27 + (-2)\/(-6). Suppose -25 = -5*p, i + 2*p = -a*i + 28. Solve i = -4*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 - 6*s - 11.\nAnswer: -6*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 0*r - 16 - 11\/2*r**2. Let i(a) = -3*a**2 + 3*a**2 + 2*a**2. Calculate w(i(n)).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5747 + 5747 + 384*z)*(-4 + 6 - 1)*(2 - 6 + 0).\nAnswer: -1536*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -5.9\nAnswer: -19.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 9*s + 10. Let v be ((-8)\/(-10))\/((-5)\/(-50)). Let a be w(v). Solve -3*p - 2*y = 11, -10 = -7*y + a*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174456457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -969 = -v + 788. List the prime factors of v.\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + 1.5. Suppose -4*t = -3*k - 11, -4*t + 5*t + k = 8. What is the nearest to -0.1 in a, t, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/114*(-210)\/25*-2*(-3)\/(-147)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1.9, 14, -1, -17, 2?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 52*y - 44*y. Find the common denominator of -49\/10 and ((-8)\/y + -1 + 2)\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*x - 199 + 61 + 59 = -54, 0 = u + 2*x + 30 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15629 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 36*l**2 + 251*l + 9037. Let p be a(-36). Let x be 2\/((26 + -2)\/3). What is the nearest to x in p, 2, 4, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772 + 764 = 2*a. Suppose 3*i - 8 = 7. Sort a, i, 3.\nAnswer: a, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 573666*q**4 - 65*q + 5390 wrt q?\nAnswer: 6883992*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20330200030 (base 4) to base 9.\nAnswer: -4363624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265225826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i**6\/i*i)\/(i*i**0*i*i**(-2\/13)) assuming i is positive.\nAnswer: i**(175\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 144*l**3 - 260*l**2 - 408*l.\nAnswer: -4*l*(l - 34)*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 86*i - 121. Calculate n(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2222.4 to the nearest 10.\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -52*a**2 + 22*a + 5. Let o(i) = -106*i**2 + 39*i + 9. Calculate 4*o(p) - 7*v(p).\nAnswer: -60*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0 + 0*q - 7\/6*q**3 - 1\/8*q**4 - 4*q**2. Is g(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 20*z + 212. Calculate d(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(118*l**2 + 56*l**2 - 51*l**2) + (l + 0 + 0)*(0*l + 0*l + l).\nAnswer: -368*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 25 = 1364*j - 1360*j, -44 = 2*j - 6*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52\/2169, -0.3, 9\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 17762573.\nAnswer: 5\/17762573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925088.\nAnswer: 2, 28909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -84*q**2 - 130*q + 409. What is i(4)?\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -445c72 - 9?\nAnswer: -445c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 10) to base 3\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let g(z) = 31*z - 1. Give m(g(a)).\nAnswer: 961*a**2 - 62*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 1\/3*o**3 + 0*o**6 - 1\/210*o**7 + 94 + 175\/24*o**4 + 0*o - 2*o**2 - 5\/3*o**5. Find the second derivative of v(p) wrt p.\nAnswer: -12*p**2 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddrbblrbdbbbr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 3*v**4 - 5*v**4 + (12*v**4 + v**4 - 14*v**4)*(-4 + 3 + 5).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225437, -450872, -676307, -901742, -1127177?\nAnswer: -1352612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -12*i**4 - 1004*i**3 - 1624*i**2 + 1328*i + 1312 = 0.\nAnswer: -82, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3717 to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14\/3)\/((i*i**23)\/i))**42 assuming i is positive.\nAnswer: i**(-1162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 4, k: 1, n: 4, h: 5}. What is prob of picking 1 h and 2 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23.509666 and -10.9.\nAnswer: -34.409666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**5\/20 - 13*o**4\/2 - 240*o**3 + 5795*o**2. Factor b(q).\nAnswer: 3*(q - 60)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*p - 6, -4*n - 4 = -p - 1. Suppose -5*b - p*l + 16 = 0, -4*l = -b + l - 8. Solve 3*z - 3 = 2*k, -4*k + b*z = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 275?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*d**3 + 0*d - 127*d**3 + 0*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from siuxssixuxtcxs?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 4, d: 5, j: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s + 7*s + 6*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55148, 220547, 496220, 882167, 1378388, 1984883, 2701652?\nAnswer: 3528695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5244 and 108?\nAnswer: 47196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1273\/3170 - 1\/634. Let l = -0.14 - 0.36. Which is the third smallest value? (a) -1\/10 (b) t (c) -5\/3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82026718.\nAnswer: 2, 233, 176023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2 + 1726*w + 3456 = 0. What is w?\nAnswer: -2, 1728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 8. Let b = -1 + i. Let d = b - -5. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/(-38)*(-6)\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4466921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 12\/95, 5\/1553?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474*b = 3*v - 478*b + 5, v + 4*b - 25 = 0. Solve -v*p = -5*f - 20, 2*f - 4*p + 8 = 6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a microgram in nanograms?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1148205 by -229641.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1781 + 7938. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/(-741)*7\/(-21).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 3*v**2 + 5*v + 4. Let c be b(5). Let p = 359 - c. Calculate the remainder when 21 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 304 - 244 = 19*t - 2*z, 2*z = -6*t + 90 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 - 2.1. Are -1 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(-53))\/(2\/10)*12\/1170?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 4, 3, -29 in descending order.\nAnswer: 4, 3, 2, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 86382?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9331 = -0*h - 2*r, 3*h = 3*r + 5586. What is the highest common divisor of h and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 12*l**4 + 1329*l**3 + 31596*l**2 - 292227*l + 313290 = 0.\nAnswer: -59, 5\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/(-8748)*(-3)\/(-2).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21344836203*c - 21344836203*c - 3*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305831224 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 3, -18, -5828?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49603.98nm?\nAnswer: 49.60398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/52 (c) -2\/131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 115*r**2 - 8. Let w(q) = -7*q**2 + 4. Let k(h) = -o(h) - 2*w(h). Let p(m) = 15*m. Calculate p(k(f)).\nAnswer: -1515*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, -5, -163, -407, -743?\n\"Answer: -r**3 - 34*r**2 + 31*r + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 173*s**2 + 2420*s + 11. Give d(-14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191626.\nAnswer: 2, 95813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 48*f - 28. Let r(p) = p**2 - 24*p + 42. Let j be r(23). Is 17 a factor of l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*-2 + -2)*3 - -1*sqrt(117)\/sqrt(144))**2.\nAnswer: 69*sqrt(13) + 7453\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*u**6*x**3 + 446654*u**6 + 14280*u**2 + 93*x**3 wrt u.\nAnswer: 1080*u**3*x**3 + 53598480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125404576 a multiple of 1852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68208 and 2009?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:54 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 12*h**2 + 970*h - 37. Does 13 divide g(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - h**3 + h**2 + 3*h. Let s be j(4). What is the remainder when 19 is divided by 3\/(-6) + (-63)\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/(d*d\/((d\/d**(-11)*d)\/d)*d*d))\/(d**4\/d*d**(-8\/9)*d) assuming d is positive.\nAnswer: d**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1636*25.\nAnswer: 40900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*d - 8 + 48, -4*d = -3*p + 45. Suppose 0 = -h + 2*h - p. Suppose 5*k - 6 = 9. Calculate the lowest common multiple of h and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 233*q**2 - 582*q - 39305. Calculate t(-78).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-4*o + 3*o - o)*(24 + 8 - 5)*(-1 + 3 + 0)*(2*o**2 - 3*o**2 + 2*o**2) to the form y*o + a + m*o**3 + d*o**2 and give m.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 - -15 - (-1 - 7). Let v = 444 + -400. Calculate the smallest common multiple of b\/(-8)*(-18 + 2) and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*a - 1, -22 = 5*v + 4*a + 11. Let x be -1 - -3 - (-3 - v). Suppose x*b - 9 = -3*b. Solve -5*t + s + 2*s = -19, 0 = b*t + 2*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.4 + -57. Which is the third biggest value? (a) w (b) -3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058264425.\nAnswer: 5, 1009, 41953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/(-18))*9\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7782 - 4.2218. Put 0.3, -4, t, 3\/124, 2 in descending order.\nAnswer: 2, 0.3, 3\/124, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 16 = -p, -4*p + 7*p + 12 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5 + 2)*(-2 - h + 2) + (-h + 0*h + 0*h)*(-3 + 7 + 0) - 3*h + h - 4*h + (2 - 3 - 1)*(-h + 0 + 0) as a + w*h and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 17 = -t, 5 = -t - 0. Let d = -2.1 - -2. What is the closest to d in -1\/7, v, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4 = -q, 4*u - 16 = 3*q + q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54167 + 36*j**2 - 54167.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 + -4)\/((-9)\/6). Let k be (-4)\/c + 47\/5. What is the units digit of (27\/4)\/(k\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 395633.02 to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0065551286 to six dps.\nAnswer: -0.006555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Let h(k) = -2*k - 11. Let x be h(-6). Is x + 3\/l*15 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 9.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3164 and 0.\nAnswer: 0.3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.063574659.\nAnswer: 0.0317873295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4.92. Let f = j + 2.08. What is the biggest value in 0.2, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66869 is divided by 16706?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 4*c + 536. What is the units digit of v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4752 = 42*u - 19*u. Calculate the greatest common factor of 154 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321330 by -21422.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l - 3. Let c be 3\/(l\/30*2). Let b = 35 + c. What is the lowest common multiple of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43362 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -k + 4, 2*k = -7*m + 8*m - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -13 (b) -2\/9 (c) -1 (d) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 - -98.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - 165\/(-6). Suppose 125*w = 2248 - 964 + 1591. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 9. Let c(p) = 6173*p - 1. Determine f(c(u)).\nAnswer: 24692*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29802, -29812, -29822, -29832, -29842, -29852?\nAnswer: -29862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59435461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 + 361. Let s = 354 - w. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, d: 4}. What is prob of picking 3 k and 1 d?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185713*g**3*k - 470*g**3 - g**2*k - 2*g**2 - 144*g*k + 2*g - 238*k - 6 wrt g.\nAnswer: -1114278*k - 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7394.\nAnswer: 2, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**2 - t**3)*(-t**2 + 1 - 1) + 2*t**5 - 4*t**2 + 4*t**2 + 0*t**5 + 2*t**5 + 9*t**2 - 10*t**2.\nAnswer: 5*t**5 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 23 = 3*s, -s + 2*s = -3*m - 21. Let k = 6 - m. What is the least common multiple of (-4)\/(((-40)\/k)\/5) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 6. Let x be u(0). Let b(g) = -g - 3. Let m be b(x). Let a(c) = -5*c. Let j be a(-2). Solve -5*n = -2*d - 6, 0 = -3*n + 5*n + m*d - j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-9 - -8 - 64\/(-20))*1. Solve 32 = -r*s - 45 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 532*d + 77816. Calculate j(-146).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-12) + 2)\/(110\/(-15)). Put -1\/5, -11, i in increasing order.\nAnswer: -11, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0003 in 1, 0.4, 1773?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 9 = -g - 3*t, t - 92 = -5*g. Suppose -24 = -3*h + g. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1868, 1870, 1872, 1874?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 479888 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2866, -11, -5, 19 in descending order.\nAnswer: 19, -5, -11, -2866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-42)\/9))\/((-27)\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -437 + 432. What is the third smallest value in 39, k, -0.2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**5\/20 - o**4\/3 + 2*o**3\/3 + 2*o**2 - 2*o. Let c(v) be the first derivative of k(v). Let c(w) = 0. What is w?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8954237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30014 (base 6) to base 2.\nAnswer: -111100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -11. Which is the nearest to f? (a) -1\/2 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 2*z - 4. Let s(n) = -2*n**2 + 3*n - 5. Calculate -3*g(v) + 2*s(v).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.6511 centuries in months?\nAnswer: 251581.32","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 13. Solve 10*f**3 - f**4 + f**2 + 2*f**4 - 8*f**x = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + m**4 + 0*m + 3 + 3*m**4 - 3 + (-21 + 9*m + 21)*(-4*m**3 + 3*m**3 - 3*m**3).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.69 + -0.31. Let w = 14844.34986 - 14859.35. Let j = w - a. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 47 + 51 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93.5 - -94. Let u = r - -10.5. Which is the biggest value? (a) 3\/4 (b) -2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/30*17\/((-34)\/24).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.5 + -6. Let n = -1.9 - -0.9. What is the third biggest value in n, -6\/7, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 230056*d - 3910374 = 0. What is d?\nAnswer: -115011, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 + 408 = 77*o - 1116 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 67 = -5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -430 - -1022. Does 96 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 341?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q + 6 - 1\/24*q**4 + 0*q**3 - 1\/60*q**5 + 2*q**2. Let k(r) = -6*r**2 - 10*r - 2. Give -k(f) + 5*n(f).\nAnswer: f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-9) + (-3)\/9. Let h(z) = -z**2 + 3*z - 7. Let r(j) = -1. Let l(n) = -h(n) + 6*r(n). Calculate l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1 + -1*4). Suppose -138 = -3*p + 114. Suppose 5*u - 41 - p = 0. Calculate the greatest common divisor of j and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*s**3 - 62*s**2 wrt s.\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 - 4*k**4 + 5*k**4)*(21 + 25 + 10)*(2 - 4 + 6 + (0 - 1 + 0)*(0 + 1 + 1)).\nAnswer: -448*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -267987459\/7 less than -38283923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/16, -5.24, 2?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -785, -1178, -1553, -1904?\nAnswer: -2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpjp when four letters picked without replacement from {j: 4, p: 2, v: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338296371.\nAnswer: 3, 7, 41, 392911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -5.8. Let n = -5 - u. Let k be (-3 + (0 - -1))\/1. Put -1\/5, n, k in decreasing order.\nAnswer: n, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76542 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1 - 0)*-10. Suppose 4*a - g = 30. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x**2 - x**2)*(-x - x + 4*x) + 0*x + 0*x - 2*x**3 + 0*x**3 + x**3 - 2*x**3 + 0*x**2 + 0*x**2 + x**3 - 8*x**3 - 2*x**3 - 12*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -243 and -0.2?\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {k: 5, z: 6, l: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1121211221?\nAnswer: 1121211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125\/4 + 31. Let p = -112.1 - -107. Let i = p + 0.1. Which is the nearest to v? (a) -3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20210102013 (base 4) to base 12.\nAnswer: -903773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 9) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/12*(-2382)\/(-4367)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-6))\/((-214)\/(-1926))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185049036*s**3 + 10204121*s + 4?\nAnswer: -1110294216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4384 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**2 + 876*y + 233. Give c(-125).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l - 37. Let g(v) = -v + 9. Let k(i) = -2*f(i) - 9*g(i). Suppose -5*m + 35 = 2*m. Give k(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58 - 514 + 23)*(5 - 2 - 6)*(5*v**4 - v**4 - 2*v**4) to the form i*v**2 + z*v**4 + b + h*v + r*v**3 and give z.\nAnswer: 3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/sqrt(7))\/sqrt(9))\/(sqrt(3) + (sqrt(3) - sqrt(18)\/(sqrt(18)\/sqrt(3)))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00065347807 rounded to five dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (sqrt(2299) + (sqrt(2299) - (sqrt(2299)*-2 - sqrt(2299))))**2 - ((sqrt(171))**2*2 + 0)).\nAnswer: 57137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.69 - -1.01. Let h = u + -29. Which is the nearest to 0.2? (a) -3\/8 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8624\/(-44))\/7 - (0 + -6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*s - 86, 4*u - 4*s + 2*s + 166 = 0. Let h = u + 48. Calculate the remainder when (-15)\/2*88\/(-33) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18394 - 18396.7054. Let k = -4.5047 - m. Let x = -1.8 - k. What is x rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m - 6154 = -142*m + 66*m - 27*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 241, 557, 1105, 1957, 3185?\nAnswer: 4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.087 plus -310?\nAnswer: -307.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110*h**3 + h*v + 6*h - 1293*v - 1 wrt h?\nAnswer: 330*h**2 + v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.14033 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 - -1.3. What is the smallest value in 3, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 220*p + 295655. Let r(i) = i**2. Calculate o(r(a)).\nAnswer: 220*a**2 + 295655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 45. What is the second biggest value in -4\/9, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1100672, 1100671, 1100670?\nAnswer: 1100669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 1151.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -588692, -588972, -589252?\n\"Answer: -280*p - 588412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -119421?\nAnswer: 22\/39807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1479, 1388, 1245, 1056, 827, 564, 273?\n\"Answer: v**3 - 32*v**2 - 2*v + 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214354429*p**4 - 7*p**2 + 716*p - 32 wrt p?\nAnswer: -5144506296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 9)*(r**4 - r**2 + r**2).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2. Let r(p) = -170135*p**2. What is n(r(f))?\nAnswer: 115783672900*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*m + 20 = 0, -462 = 5*f - 0*m + 5*m - 532 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/86812 and -99\/157840.\nAnswer: 1736240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 - -247. Let f = 21 - 20. Let y be (-1)\/(0 - f\/2). Solve -4 = g*s - 3*c - y, 0 = -s - c + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1008) + 2 + sqrt(1008) + -3 - sqrt(1008)) + 1*sqrt(1008) + 5))**2.\nAnswer: 1728*sqrt(7) + 36432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 14 - 86. 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: Let s(l) = 476*l + 10930. Give s(-23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.2, 0.1, -13, -5\/16 in descending order.\nAnswer: 0.2, 0.1, -5\/16, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*j = -2, 0*b - 3*b + 4*j = -58. Suppose b*v - 601 = 1149. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.67856 rounded to one decimal place?\nAnswer: 59.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjj when three letters picked without replacement from hhhhhhhhhhjhjjhhhhjh?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224\/209 + -10\/19. What is the third biggest value in o, 2\/9, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*z - 26 = 5*k, -4*z = -2*k - 20. Let v = -5 - k. Solve -v*m = -2*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 - 2*u + 11. Let o be z(8). Let v = o + 8. What is the second derivative of -d - 3*d + v*d**2 + d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1. Let f(o) = o + 4. Let n(d) = 2*d + 11. Let z(b) = -2*b - 10. Let h(q) = -5*n(q) - 6*z(q). Let a be h(-3). Let s(v) = a*f(v) + 6*y(v). Give s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*m = -75*m + 16045316. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -561040.444 - 0.13.\nAnswer: -561040.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 25*l**4 - 30*l**3 - l - 6606. Let i(g) = -47*g**4 + 59*g**3 + 2*g + 13210. Let s(v) = 6*i(v) + 11*p(v). What is the first derivative of s(y) wrt y?\nAnswer: -28*y**3 + 72*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-15)\/(-63)*(-12)\/10.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = -30. Solve -4*z - 8 = -4*u - 5*z, y = 4*u - 5*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 + 302*g**2\/9 + 2302*g\/9 + 2002\/9.\nAnswer: 2*(g + 1)*(g + 7)*(g + 143)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 2*y**3 - 7*y**2 - 2661 + 3*y**2.\nAnswer: 2*y**3 - 2*y**2 - 2661","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*p + 70*p + 30690 = 44*p - 3632 for p.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 992 + -560. Let r = 5619\/13 - j. Is 2 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-99)\/(-77))\/(18\/(-105)))\/(15\/(-80)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38402 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*z + 5*k + 10, k - 6 = -2*z. Suppose m = -3*m + 56. Calculate the remainder when (82\/(-4))\/(z\/(-2)) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/11 - 9756*h - 130871862 = 0. Calculate h.\nAnswer: -26829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 44, 47?\n\"Answer: 3*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 30 - -17 - (5 + 1 + 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36681080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 - t - 6*t**2 - 47 - 60 + 4*t**2 to the form w*t + d + s*t**2 and give d.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -273, -345, -425, -513, -609?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31893378 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/3676 and 9\/83044.\nAnswer: 76317436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 8*u - 7. Let l be a(7). Suppose -3*v + 20 = 2*b, -3*v - 3*b - 2*b + 32 = l. Find the third derivative of 210 - 210 - 16*w**2 - 10*w**v wrt w.\nAnswer: -240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 379 = b - 5*w, -259 = -2*b + 3*w. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 19*v**2 + 15 + (15*v - 11 + 11)*(30 - 30 + 20*v).\nAnswer: 319*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/(s**(-6\/5)\/s)*s**(-17)\/s**17)**(-5\/2) assuming s is positive.\nAnswer: s**(2077\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)\/l)\/l**(-2\/75) assuming l is positive.\nAnswer: l**(-67\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 180, 194, 210, 228, 248?\n\"Answer: a**2 + 11*a + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25304161 to the nearest integer?\nAnswer: 5030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - (-11)\/3. Suppose -2 = 2*x, 0*m = o*m + 5*x + 8. What is the common denominator of 95\/50 - (0 - m) and 37\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 31. Let v(h) = h**3 + 6*h**2 + 5*h + 3. Let w(c) = -6*c**2 - 2*c - 1. Let t be w(-1). Let b be v(t). Solve -5*p = -b*p - y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59506 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1464333 and 128.4?\nAnswer: 1464204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) 4 (b) -5 (c) -1\/9 (d) 24 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 13833.424.\nAnswer: -13833.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 677*u**2 - 87*u + 30. Determine a(1).\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(2*y - 4*y - 2*y) + 8*y - 1 + 1)*(-y - 2*y + 4*y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n**3 + 58*n**3 + 833*n - 833*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03505 greater than or equal to 43135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597938 = -3*z - 19*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 669*i**3 + 2*i**2 - 11. Let r(s) = 668*s**3 + 3*s**2 - 17. Calculate 3*l(b) - 2*r(b).\nAnswer: 671*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 9*q - 8. What is the tens digit of f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8069?\nAnswer: 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 72. What is the second smallest value in 0.3, a, -5\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42064289273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from hfhfhhffhhhfff.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 92368263262 and 57.\nAnswer: 92368263319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 41*g - 38. What is k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7319.541 rounded to the nearest 100?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 5*t**2 + 12*t + 20. Give k(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -10 (c) -1\/3 (d) -0.5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Let f(y) = 2*y**k + 0*y**2 - 3*y**2. Let q(v) = -5*v. Calculate f(q(u)).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from mmbbbbumbm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 4:48 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 40 = c, 4*c - 4*o + 64 - 164 = 0. What is the lowest common multiple of 22 and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25147 and -0.48?\nAnswer: 25146.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*a**3 - 15*a + 158*a**3 - 78*a**3 wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5308\/3 + -4437497\/2508. Is z greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87787847.3 rounded to the nearest 1000?\nAnswer: -87788000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140210808, -280421613, -420632416, -560843217, -701054016, -841264813?\n\"Answer: j**2 - 140210808*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -83. What is the derivative of -67*g**s - 13*g**3 + 21 + 10 wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2288127 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**3 + 2*c**2 + 4*c + 1. Let d be g(-1). Suppose 7*z + d = z. Let v(u) = -2*u**2 - 4*u - 2. Give v(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v)\/v**(2\/13)*(v*v**(2\/41))\/v*(v*v**12)\/v assuming v is positive.\nAnswer: v**(7939\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 564512893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -412b (base 16) to base 14\nAnswer: -6119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -50, -25, 32?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 5:33 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/777)\/((-4)\/24).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45347 is divided by 1134?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-10 + 40 + 12)*(-3*j**3 + 2*j**3 + 0*j**3).\nAnswer: -126*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4117 is divided by 590.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 10:05 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Suppose h*s + 2*s - 18 = 0. Suppose 2*v - 5*f - 61 = 0, 0*v + v + f - 34 = 0. What is the remainder when v is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/5 (b) 1\/2 (c) -2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1790 divided by 5\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -28. Let q(n) = n**3 - 2*n**2 - n - 3. Let y be q(3). Let b be l\/y - 8\/(-12). What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 5*s**2 - 16*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -906239 by -1627.\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 2.18. Let n = -240.68 - p. Let g = n - -239.0000101. Round g to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739234 divided by -178?\nAnswer: -4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(24\/(-1443)) + 0\/(-2). Let y = i + 704. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*m**3 + 687 - 289*m + 8*m**3 + 11*m**2 + 15*m**2 - 26*m**2 wrt m.\nAnswer: -3*m**2 - 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214082 is divided by 139.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2462067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemeeceeeeeee. What is prob of picking 1 c and 3 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u**2 - 3*u**4 + 2*u**4 + 0*u**4)*(-2 - u + 2 + 5*u - 2*u - 4*u + (-2*u - 3*u + 3*u)*(3 - 2 + 1) + 3*u - 3*u + u + 0*u + u - 3*u).\nAnswer: 7*u**5 + 70*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -1 + 3 - -6. Sort x, 3, -2.\nAnswer: -2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4062815 or 4062818?\nAnswer: 4062815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 52. Let v = 1 + r. Suppose 32*y = v*y + 196. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2 (c) 0.07 (d) -3682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -90*g**3 + 83. Let w(b) = 14*b - 149. Let m be w(11). Let t(k) = 90*k**3 - 83. Let p(d) = m*y(d) + 6*t(d). Find the first derivative of p(o) wrt o.\nAnswer: 270*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*-6*(2 + sqrt(84)\/(sqrt(84)\/sqrt(7))))**2.\nAnswer: -9900 - 3600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let q(n) = -2*n + 2. Let s(u) = -13*k(u) + 6*q(u). Let j be s(14). Suppose -j - 2 = -g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 436260264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 82. What is the smallest common multiple of b and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-2))**(-1\/46)\/((c**1*c)\/(c\/c**(-6)*c)))**38)**4 assuming c is positive.\nAnswer: c**912","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2625)\/(-175)*2\/105.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = m + 69, 4*m - 12 = 0. Let q = 8 - 0. Calculate the greatest common divisor of r and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2118*o + 892 - 487 - 572. Is c(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2916.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/7)\/(3\/126). Let k = o + -8. Solve -r + k = -3*p + 3*r, 2*p - 5*r = -28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 445*a**3 + 5*a**2 + 11*a + 33. Let c(f) = -89*f**3 - f**2 - 2*f - 6. What is 22*c(y) + 4*w(y)?\nAnswer: -178*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + (-1510 - -1546 - (29 + 1)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*a + 9*a**3 - 102*a.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 - 12*r**3 + 2*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 1, a: 1, y: 6, c: 4, e: 1}. What is prob of picking 2 c, 1 e, and 1 v?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 - 5. Suppose 6*h = h + 5. Suppose -4 - h = u. Let s(o) = 7*o**2 + 8. Let l(k) = u*s(k) - 8*x(k). Let r(j) = -2*j. Determine l(r(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:16 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:31 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 240\/(-100)*5\/(-2). Suppose y*p = p - 565. What is p rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 14 - 5 - 44*v to the form r*v + t and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 63 = -6*z. Suppose -z = -f - q, -q = 3*f - 5*f + 39. Calculate the lowest common multiple of 6 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148672830 divided by 74336415\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-150)*5 - (-5 + (-2404)\/(-480)). What is the closest to -0.2 in 7, s, -0.7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.57361 or -2?\nAnswer: 0.57361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61042 and 4936.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -14*d - 4*w + 94, -w = -5 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/4*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-1 - 4)*3. Suppose -r*w = -3*s + 6, s + 0 = 2*w + 6. Let b be 21\/296 + s\/16. Is b <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3289834 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(98) + 5 + 2))**2 - -3*(sqrt(98) + 5)*6)*4.\nAnswer: 14616*sqrt(2) + 21528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5675 and 1589?\nAnswer: 39725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22312 (base 4) to base 6.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007928018544 rounded to 6 dps?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4108051 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36769 and -518.\nAnswer: 36251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*v + 45*v - 240*v + 41*v + 49*v + 51*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 510546*g**3*v**2 - 7*g**2*v**2 + 2*g*v**2 - 512*g wrt g.\nAnswer: 3063276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = -2*b. Let y(f) = -f**2 - 7*f - 7. Let q be y(b). Let i be (-36)\/(-24)*32\/q. Solve 3*n = 2*h - i, 3*n - n + h = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j + 2*t - 18 = -55*j, 4*j + 2*t - 34 = 0. Calculate the greatest common factor of j and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167954, 335905, 503856, 671807, 839758?\nAnswer: 1007709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -106. Let z = 72 - k. Let q be (1 + -3)\/(16 + 4 + -3). What is the nearest to -9 in q, 0.2, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56004 * -0.1.\nAnswer: -5600.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 36 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l - 2*l + l)*(-2*l + l + 0*l) - 4*l**2 + 2*l**2 + 3*l**2)*(-l**2 - 2*l**2 + l**2).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -35*o + 843. Let h be b(24). Let a(v) be the third derivative of -26*v**2 + 0*v - 1\/10*v**6 - 2\/3*v**4 + 0 + 2\/3*v**5 - 16\/3*v**h. Solve a(p) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 4487\/5459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*n + 15 = -61, 2*n = -5*v + 199. Let k(r) = 5*r**2 + 7*r - 1. What is the remainder when k(5) is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f - 2. Suppose 18*s = 23*s - 10. What is the least common multiple of l(-4) and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 895849 or 895377?\nAnswer: 895849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l - 190. Let f be n(16). Differentiate f*p**2 - 37*p**4 + 18*p**2 - 61*p**2 - 119 + 25*p**2 wrt p.\nAnswer: -148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -50. Let r be (-3 - (-1 - 4))*m\/1. Suppose 0 = -2*w - 2*t + 60, r*t + 3 = t. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/15 + -1\/60. What is the third biggest value in 1, s, 26?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 39 + 63 + 62.\nAnswer: -2*q + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*l - 74*l - 48. Let k(c) = -2*c**2 + 2*c. Let h(b) = 2*b**2 - b. Calculate l*h(s) - 4*k(s).\nAnswer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3898 - 0.6102. Sort h, 5, -1\/4, -4\/5 in increasing order.\nAnswer: h, -4\/5, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.246 - 21.354. Let h = 21.6000061 + r. Round h to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -4, 1, 4 in descending order.\nAnswer: 11, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*v - 237*v + 1250 = 6710 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 177*k**2 - 1105*k + 1281.\nAnswer: (k - 183)*(k - 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v**2. Let g(n) = 601*n. Determine z(g(i)).\nAnswer: 4334412*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -637, -635, -633, -631?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148458005, -296916008, -445374011, -593832014?\nAnswer: -742290017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 17*f**2 + 3*f + 41. Let h be t(8). Let c = -1 - 1. Let k = -1 - c. What is the highest common factor of k and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 3*m + 56*s - 60*s, -3*s + 45 = m. What is the remainder when m is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.0372\nAnswer: 0.00744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491 + 489 - 980 + 4*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7374 + -3400.0455?\nAnswer: -3399.3081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16549872211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 6*q**2 + 7*q - 7. Let i be w(5). Suppose -i*f + 70 = -5*l, l = -4*l + 5. Calculate the remainder when f is divided by 13 + 1 - 0\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 15515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/9 + 26\/63. Let i(a) = a**2 + 5*a - 10. Let c be i(-8). Let g = -12212 - -12213. Put l, c, -3, g in descending order.\nAnswer: c, g, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.15 (c) -3 (d) -21\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4 - 18*g**3 - 3*g**2 + 72*g - 48 = 0. What is g?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l. Let h(u) = -39*u. Determine 3*h(i) + 13*j(i).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.291, -3\/7, 0.4, -4, 0.5, 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.41 + -5.82. Let b = t + 2.3907. Round b to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {v: 8, h: 1, c: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*232\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 4, i: 3, f: 5, q: 1}. Give prob of sequence eefe.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17))**(-2\/33) assuming j is positive.\nAnswer: j**(-4\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + j - 4. Let b = 14 + -17. Let s = 6 + b. What are the prime factors of a(s)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4424 by 4424.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**2 - 98*v + 16. Give r(-9).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1023\/(-434)*-14 - 25\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006 divided by -19?\nAnswer: -4006\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/2)\/((-12)\/8). Suppose -2*d + 7 = -11. Suppose d*p + p = 50. Solve -o*a + p*s + 0 = 20, 5*s = 2*a + 23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.322373ug?\nAnswer: 6322.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*m - 169*m + 946 = -316*m for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*f**2 + 0*f**3 + 32*f**2 + 32*f**2 - 66*f**4 + 86*f**4 - 4*f**3 + 2 to s*f**4 + r*f + o*f**3 + g*f**2 + w and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {w: 5, m: 2, n: 3, o: 5, l: 4}?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -322900 or -322895?\nAnswer: -322900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27220.26 nanometers?\nAnswer: 0.00002722026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11343 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.24 (c) -3 (d) 2\/8653\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1288)\/(-161)*(-14)\/(-8)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-78)*-9 - (-12)\/(-78). Solve -3*a - 5 - 9 = -5*m, -b*a - 14 = -2*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1267 + 80?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 632?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35141 - 179. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 495.404 to 0 decimal places.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 13 = 4*z, 2*z - 26 + 9 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/12 - p**3 + 9*p**2\/2 - p. Let g be h(-7). Let a be (-6)\/1*g\/(-4). Solve -y - 5 = -3*x, 2*x + a*x = 5*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y - 0. Suppose -24 = -2*j - 2*z, 7*j - y*j + z - 56 = 0. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 71284, -5 in decreasing order.\nAnswer: 71284, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -16*n. Let g(m) = 11*m. Give 8*g(i) + 5*u(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -12*a - 605 + 566, -27 = -4*y + 5*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14)\/(o*o**(2\/33)\/o))\/(o**(11\/7)\/(o\/(o*o**(-33)\/o)*o)))**(-5\/6) assuming o is positive.\nAnswer: o**(-11185\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 306 + -2231. Let x = -3779\/2 - g. What is the common denominator of x and -15\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6028 divided by -5739\nAnswer: 6028\/5739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 - 224 = 46*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 9*h**4 + 10985820*h**3 + 3352487760100*h**2 + 22349552208000*h + 37249050240000 = 0.\nAnswer: -610320, -10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-7 - -12)) + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)\/(n**(-8)\/n*n*n))\/(n**(2\/5)*n*(n*n**(-2\/39))\/n) assuming n is positive.\nAnswer: n**(7129\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cbcbbcocbob.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 + 7254\/90 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31940 and 12776.\nAnswer: 63880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1377) - -2*(sqrt(102)\/sqrt(6))**2.\nAnswer: 34 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.37716kg to milligrams.\nAnswer: 47377160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 18*q**2 + 2*q - 2. Let h be d(-3). Let a = -2 - -6. Let z(p) = 3*p + 2. Let n be z(a). What is the greatest common divisor of h and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 135 = 0. Let w be g\/105 - 4\/(-7). Let h be 6\/(6\/(-1))*2\/26. Is w at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*(-204)\/18. Let x be j\/(3 + (-6)\/3). Let c = x + -10. Solve -3 = -5*l + c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6514 - 2143. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80337.2ml in litres?\nAnswer: 80.3372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 438342054 to the power of 1\/2, to the nearest integer?\nAnswer: 20937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23468304 and 26025?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*q - 20*q - p, p = 5*q + 6. Sort 17, -5, -1, q.\nAnswer: -5, q, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(343)*-2)**2 - sqrt(343)) + 0)*-6 + -3.\nAnswer: -41163 + 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 0*o - 1 + 2 - 5 to y + j*o and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -2350473?\nAnswer: 2350478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -7*h**5\/80 - h**4\/32 + 3*h**3\/4 - 13*h**2. Factor c(q).\nAnswer: -3*(q + 1)*(7*q - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*f - 499 = -2053 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 4. Let j be n(3). Let i = 147 - 145. Sort i, 1\/11, j in descending order.\nAnswer: i, 1\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -649*l. Let j(a) = 18*a. Calculate k(j(g)).\nAnswer: -11682*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q - 9. Let x be w(4). Suppose -4*s + 21 + x = 0. Does s = 15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 345202.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192418\/11219 + -64\/863. Which is smaller: 17 or i?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2768\/1730)\/((-32)\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*j + 2*j. Is 9 a factor of -2 - (-2 - j) - -20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30824 is divided by 130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 187637200 rounded to the nearest one million?\nAnswer: 188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3013 = -0*k - 3*c, -5*k - 3041 = -4*c. Let r = 604 + k. Let o(f) = -30*f**3 + f**2 + f + 1. Determine o(r).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 4*f + 2*f)*(-3*f + 6*f - f) + (-15 + 12 - 35)*(3*f - f + f)*(2*f - 7*f + 3*f) + 0*f**2 - f**2 - f**2 to the form p*f**2 + m*f + w and give p.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3106490 (b) -2\/11 (c) -16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**36\/z))*z)\/z)\/z*z*z*z*z**(-31)*z assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96\/11 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*w + 5328 + 2976 = 0, 12 = -4*w. Suppose 0 = 13*n + 8*n - i. Calculate the greatest common factor of 33 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 23*i**2 + 15*i + 13. Let v be o(-12). Let q be (4\/(-12))\/(3\/(v - 4)). Solve -5*y - q = -4*n, -5*n - 2*y + 15 = 3*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062661928 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1259712 and 1332?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:11 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 296\/(-444)*135\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77.00147 + 77. What is n rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 6*g**2 - 6*g - 3. What is the remainder when z(-6) is divided by (21 - 3)*1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 696560603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -12*j - 4*j. Let y = 3 + 0. Solve 5*z = -r + 24, y*z = -r + j*r + 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*k - 2\/3*k**3 + 0*k**2 + 1\/3*k**4 - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360 is divided by 46.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 9*i - 1. Suppose c - 19 = -4*q, 4*c - 4*q - 19 = -q. What is the remainder when 50 is divided by b(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -13. Let u = 39 - o. Suppose -2*p + f + 31 = 0, 5*p - u*f - 2*f - 80 = 0. What is the greatest common divisor of 120 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 801042, 801096, 801150, 801204, 801258, 801312?\nAnswer: 801366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(2 + (-1*sqrt(68))\/sqrt(4))**2.\nAnswer: -24*sqrt(17) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {w: 1, o: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -900728577*v**3 - 223544181.\nAnswer: -2702185731*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*n - 2, 0 = -0*i + i + 4*n - 1. Solve 3*f - 14 = i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - q**3 + 38*q**3 + 10*q**3 - 2.\nAnswer: 44*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12aa4 (base 13) to base 5.\nAnswer: -2103104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1108372.14s?\nAnswer: 12.82838125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26393442 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3076*a + 2987*a + 267 = 0. Suppose 1\/2*g**4 + 1\/2*g + 1\/2 - g**2 + 1\/2*g**5 - g**a = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31315.17 hours to milliseconds.\nAnswer: 112734612000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 2 + 3 + 6 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/7783 + 12943081\/46698. Suppose -o - 1164 = 3*o. Let k = f + o. What is the common denominator of k and 20\/57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10110110111111001 (base 2) to base 13\nAnswer: 3384b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 730*g**5 - 70990*g**4 + 4182565*g**2 - 15*g.\nAnswer: 43800*g**2 - 1703760*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 509 = 9*a - 132 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 2745054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674 = 131*c - 495 - 927 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10640 and 5852?\nAnswer: 117040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*-292.85\nAnswer: 1464.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*y - 2, 0 = w + 4*y + 3 - 13. Suppose -2*k + 30 - w = 0. What is the common denominator of -59\/6 and 5\/5 - (-32)\/k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t*t\/(t**(1\/4)\/t)*t)\/t)**(-46)*(t*t**(-2\/7))**42)**(-30) assuming t is positive.\nAnswer: t**5655","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 6*r + 2*r)*(2 + 2 - 1).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90909 and 18408.\nAnswer: 42909048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 196263523*f + 243065614.\nAnswer: 196263523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 33977 = -4*q - 63678, 97655 = 5*h + 5*q. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 472301102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.12. Let u = q - -0.05. Let p = 4.9419 + 0.0581. Which is the closest to u? (a) -2\/11 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s + 242. Give k(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-25)\/5*-10 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -471*k + 1650. Determine w(4).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51.85329 millimeters?\nAnswer: 5.185329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 627 = 573. What is x rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 40*j**2 - 4*j - 3. List the prime factors of g(-2).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002102220120010 - -1102?\nAnswer: 1002102220121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2446440 divided by 551\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:25 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56.000063 - -56. Round t to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/12)\/(54\/(-81)*(-1)\/4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 115 - 133. Solve -5 = 4*f + 3*x, i*f + 16*x = 21*x - 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1539) + 0)*-1 + -6*(0 + sqrt(1539)) + (sqrt(1539) - (sqrt(1539) + -1 + 3 + sqrt(1539)) - sqrt(1539)) + sqrt(1539))**2.\nAnswer: 720*sqrt(19) + 98521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - m + 20, -33*z + 30*z + m + 4 = 0. Suppose 0 = -5*b + z*c - 11435015, 3*c + c = 3*b + 6861020. Round b to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from nnynnnnnyynynnyynn?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2730 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 40*o = 10*o + 16*o. Is 2\/485 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - z = k + 10, 4*z = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:12 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-15) + (-4)\/(-10). Suppose -5 = -4*o - 5*p, 4*p = 4 - t. Suppose -6*c - 8 + 416 = o. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let w be c(-1). Let x be (2 - (-1)\/(-3)) + w. Suppose 0 = -62*a + 38 + 24. Sort 0.2, x, a.\nAnswer: 0.2, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/9 + 10*c**3 - 150*c**2 + 750*c.\nAnswer: -2*c*(c - 15)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 508936748 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/5*u + 0 - 12\/5*u**2 - 2\/5*u**3 = 0. What is u?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 23.9. Let j = 8.1 - 7. Let z = j + -1.6. Which is the third smallest value? (a) z (b) w (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s + 700 + 770 = 0 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -528*d**2*o**4*t + 8*d**2*t - 4*d**2 + 7*d*o**4 - 2*o**2 + 2*o + 10 wrt o?\nAnswer: -12672*d**2*o*t + 168*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:34 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2 + sqrt(300)) + sqrt(300))*-1)**2 - ((sqrt(300) + 3 + 0 + sqrt(300) + sqrt(300))**2 - sqrt(300))*2.\nAnswer: -1540*sqrt(3) + 2226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2020770640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 274, 286, 310, 346?\n\"Answer: 6*f**2 - 6*f + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 1, w: 2, d: 1, x: 1, h: 2}. Give prob of sequence hrwd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -150, -247, -360, -495, -658?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -233 + 47?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2600.015 minus -3?\nAnswer: -2597.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2157*l - 1757*l - 4066*l to y*l + c and give y.\nAnswer: -7980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 - 36 - 5*s + 173 + 4*s.\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370168538?\nAnswer: 2, 185084269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1532835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24146 - 15848. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-1))**(-16))**26)**(-16\/9))**38 assuming v is positive.\nAnswer: v**(-252928\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.334 to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + 2 + -4 + ((-1 + sqrt(605))*1)**2 + 2)*1.\nAnswer: -22*sqrt(5) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5107 - -5133. Let i be 6*2\/2*(-1)\/(-2). Solve 4*s + v = -5*w, i*w + 2*s = 6*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3219\/7 - -45827\/63. Let z = -268 + f. What is the biggest value in z, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-392)\/3 + (20\/12)\/(-5). List the prime factors of (a\/(-2))\/((-30)\/(-300)).\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-1)*w))\/w*w**(-1)*w**(-1\/6)\/(w\/(w*w**(1\/9)*w*w*w))*(w**5\/w)\/w*w**(-2\/3)*w*w**(-3)\/w**(1\/4) assuming w is positive.\nAnswer: w**(37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121331 is divided by 2631.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:13 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -727*b - 4067. Let q(n) = 362*n + 2034. Let h(y) = 4*p(y) + 7*q(y). Find the first derivative of h(r) wrt r.\nAnswer: -374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wctt when four letters picked without replacement from {t: 3, d: 1, c: 4, w: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {x: 4, u: 3, p: 1, w: 1, m: 2, i: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2152846 and 2047?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0153 minus 2626544057?\nAnswer: -2626544057.0153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let y be 2\/4*(-10 - -14). Suppose 0 = x - y*x. Let d(k) = 0*k**2 + 8*k**2 + x*k**2. What is d(a(o))?\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5.44656*-0.06\nAnswer: 0.3267936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 2. Let g be z(4). Which is greater: g or -11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1468, 4, 13 in descending order.\nAnswer: 1468, 13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(11) - 2*sqrt(1331)))**2 + 0.\nAnswer: -126*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11 + 5*c + 41 - 21. Let n(w) = 3*w + 23. Let p(j) = 5*j + 47. Let l(o) = -13*n(o) + 6*p(o). Determine 11*h(s) + 6*l(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3605 divided by -3?\nAnswer: 3605\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 2*b**2 + 2*b + 1. Let u be w(-3). Calculate the common denominator of -59\/22 and (118\/21)\/(u\/3).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 560*m - 80 - 47.\nAnswer: -560*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = 3*j + 11*j. Let z be ((-8)\/30)\/((-10)\/(-25))*j. Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 22*p**2 - 11*p - 2. Let c(b) = 22*b**2 - 8*b - 2. Give 3*c(z) - 4*i(z).\nAnswer: -22*z**2 + 20*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/3 - -1) + (-8)\/(-24). Let x(i) = -6*i + 157. What are the prime factors of x(c)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2. Let v(s) be the third derivative of 4*s**5\/15 + 23*s**2. Calculate m(v(r)).\nAnswer: -256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 74*c**2 - 20*c + 12. Let w(o) = -2*o**2 + 2*o - 1. Give u(h) + 10*w(h).\nAnswer: 54*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1888648 and 80088.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13870 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 0 - (1 - (1 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/8 - (-2675400)\/480.\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 457? (a) -4 (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 408847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/11 and (-284)\/63 + (-20)\/(-90)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - 4 - (-255 + (-12)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 1476, 3724, 7790, 14280?\nAnswer: 23800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*m**2 - 4072*m + 4072*m + 81*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 + 375875*j\/2 - 62646.\nAnswer: (j + 125292)*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3470813 - -27801349\/8. Let r be -1*(-6543)\/6*4. Let c = r - u. Calculate the common denominator of -85\/12 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u**4\/3 - 26*u**3 + 1852*u**2\/3 - 2206*u + 1540\/3 = 0. Calculate u.\nAnswer: -22, 1\/4, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - l**4 + 7 + 2*l**3 - 2*l**3 + l to the form y*l**3 + u*l**2 + r*l + o*l**4 + c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6816933?\nAnswer: 3, 61, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -51*l**2 - 2*l + 1. Let j(r) = -103*r**2 - 5*r + 2. Calculate 9*i(t) - 4*j(t).\nAnswer: -47*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -550000*s + 12. Let l be m(-18). Suppose l = -p - 3*k, 0 = -0*p + 2*p + 2*k + 19800008. Round p to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 6*n**2 - 4*n - 2. Let r be b(5). Let w = r + -1. Solve 3*h + 2*h - c = 13, -w*c = h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(225)*1*2)\/((sqrt(165)\/(sqrt(12)\/sqrt(4)))\/((sqrt(88)\/sqrt(2))\/sqrt(4) + sqrt(11))).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 54*w**3 + 243*w**2 - 324*w = 0. What is w?\nAnswer: 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/15 and -4\/1419.\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 690 - -571. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.14 and 2121596?\nAnswer: 2121590.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 0.4, 0, 0.006 in ascending order.\nAnswer: 0, 0.006, 0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 0, 1\/97, -2\/99, 2\/5, -0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 240 + -792?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9073*s - 9078*s = -210 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191.7 - 183. Let k = 8.704 - s. What is k rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/84 and 604\/(-208) + (-1)\/(6\/(-12)).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26506880 is divided by 500?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21036 (base 8) to base 3\nAnswer: -102222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 117 + 55*g - 57*g + 7. Let p be z(14). Which is bigger: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1 + 1)\/((-2)\/(-4)). Suppose 28 = 2*d - 4*p, -65 = -y*d + 5*p - 0*p. Solve 0 = 6*b - 2*b + d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 3\/197026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 7501. Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10231 + 220?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3\/3 - 711. Let j(a) = 171*a**2 + 3*a. Calculate j(i(g)).\nAnswer: 171*g**4 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/9 - 90850*q**4\/3 - 5179894*q**3\/3 - 295281394*q**2\/9 - 207800264*q = 0 for q.\nAnswer: -19, 0, 136332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*q - 244*q + 119*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 41034.\nAnswer: 902748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1e4a28 (base 15) to base 5\nAnswer: -334441123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - (1 + (-10 - (2 - 10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*p - 0*p + 16, -4*o + 16 = -p. Suppose f + 8 = 22. Calculate the remainder when f is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3 = 3*l, -6*l = 3*b - 4*l - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7.8. Let x = 0.0121 - 32.0121. Is x bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -2. Suppose 20 = 3*t + 2*t + x, -3*x + 10 = z*t. Solve t*v = 8 + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 596387.43ns to hours.\nAnswer: 0.000000165663175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3000))\/sqrt(6).\nAnswer: 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -303150, -303177, -303208, -303243, -303282, -303325?\n\"Answer: -2*x**2 - 21*x - 303127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -105.957. Let v = d + -0.057. Which is the nearest to -1? (a) -6 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, -112627, 4\/3 in descending order.\nAnswer: 4\/3, -0.1, -0.2, -112627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d5 + -363ea?\nAnswer: -36315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 133280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2670616360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 116 + 130 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21689 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 9*u**3 + 719 - 602 to the form b + z*u**2 + r*u + k*u**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by -1616.\nAnswer: -11\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 48 = -t, 4*x + t + 54 = 237. Suppose -3*z = -2*z - x. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1890, 18, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -151337.11?\nAnswer: -151337.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6737, -6741, -6745, -6749, -6753, -6757?\n\"Answer: -4*q - 6733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 13066?\nAnswer: 13061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 179*b**2 + 38 + 179*b**2 - 3*b**3 - 14*b.\nAnswer: -3*b**3 - 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76919 - -5076551\/66. Find the common denominator of d and 41\/5.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 2, h: 1, l: 5, w: 2, n: 5}. What is prob of picking 2 d and 1 h?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.478704554 + -1.921296416. Let k = 2.2 + 0.2. Let i = k + s. Round i to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*h + 29*h - 4620. Solve -23*r - 13 = h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r - 3460 = -3844 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -85 + (8 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 7 + -14 - 13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(528\/36)*2. Which is the smallest value? (a) -3\/8 (b) -5 (c) 0.3 (d) 1.267 (e) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -6*sqrt(17)*-3*-3) + 3.\nAnswer: -216*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16*5\/(-5))\/(-9*(-24)\/108)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4) + 0)*-2. Suppose -j - n + 3*n = -8, -y*n = -6. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + -4. What is the tens digit of (-8 + 4)\/(2\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 705150\/13 or 54241?\nAnswer: 54241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 2, w: 2, r: 1, t: 4, l: 8}. Give prob of sequence tw.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(12\/42)*32\/8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-750)\/(-28))\/(-15)*(-640)\/(-2400).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1 (c) -7\/683\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351406175?\nAnswer: 5, 94056247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32734, -67750, -102758, -137752, -172726, -207674, -242590?\n\"Answer: p**3 - 2*p**2 - 35017*p + 2284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s + 140*s - 4925460 = 41263980. Round s to the nearest one thousand.\nAnswer: 262000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -45*x - 1168. Let v be k(-26). Solve -v = d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -173*k - 2. Let b(m) = 5*m**2. Calculate i(b(z)).\nAnswer: -865*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a - 2. Let g(q) = -7*q - 3. Let u(k) = 5*g(k) - 6*w(k). Let f be u(4). Let x(l) = 1 - 7 - f + l**2 - 2*l. What is x(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 193608?\nAnswer: 2129688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*f + 5*t + 28 = 0, 0 = 5*f + 5*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 9. Calculate the smallest common multiple of j(9) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/9)*y\/(y*y**(-1\/10)\/y))\/(y**(2\/3))**43 assuming y is positive.\nAnswer: y**(-2441\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (1 - (-2 - -2)). Let r(u) = 4*u**2 + 8*u + 5. Let p(x) = 3*x**2 + 5*x + 3. Calculate n*r(j) - 8*p(j).\nAnswer: -4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 168190 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 25.2. Let k = -8 - -3. Let z = k + w. Is -2 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3564 * 17.474\nAnswer: 62277.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let r(d) = 4*d. Let c(y) = 9*g(y) - 2*r(y). Let i(j) = -j**2 + 5*j + 10. Let v be i(6). Let s(p) = p + v*p - 6*p. Give s(c(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 77526 at most as big as 77732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let k be s(-3). Suppose 0*m + m - 2*r - 13 = 0, -k*r = -4*m + 22. Let n(j) = j**3 - 3*j**2 + j + 2. What is the units digit of n(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (1\/(-2))\/((-1)\/98). Let s = 47 - t. Let x(v) = -2*v**2 - 4*v. Calculate x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.47 + -0.34. Let n = 253 - 257.13. Let j = g + n. Which is bigger: j or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Let q be 111\/198 - 2\/4. Let s = 25\/132 + q. What is the closest to s in 3\/2, t, -5\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*w - 142, 3*v = -5*w - 125 - 52. Let y = -16 - w. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n - 39. Let g be 4\/(-7)*(1 + n\/4). What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228097, -461271, -694445, -927619, -1160793, -1393967?\nAnswer: -1627141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -26. Suppose 2*q + z = 3. Calculate the greatest common divisor of q and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**3 - 205256 - 275*d**3 + 205256.\nAnswer: -293*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeopetoztooptev. Give prob of picking 1 t and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*o + 1357, 4131 = 3*r + 21*o - 24*o. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 334758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 61776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.26587 litres in millilitres?\nAnswer: 81265.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 1. Let b(d) = 5*d + 1. Let j(t) = -4*b(t) - 5*c(t). Let u = -7 - -6. Give j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*m = -6566, 27*a + 3*m = 22*a + 16417. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13236)\/1103*1\/3 + 8\/3. Let o = 3.44 + 0.06. Let y = o + -3. What is the nearest to h in -3, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + 40*b + 41. Let h be v(-1). Let i(u) = 5 + 4*u**2 - 4*u**2 + u**2 + 2*u. Let f(w) = -w**2 - w - 2. Determine h*f(d) + 2*i(d).\nAnswer: -3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -653538, 2.6, 2\/19, -2?\nAnswer: -653538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3635*n - 7746*n - 177363 = 8479*n + 149977 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -740 - -1126. Suppose -4*p + j - 104 = -5*s, 42 = -s - 4*p. Let g = s + 81. Calculate the remainder when g is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) 4 (d) 8620 (e) -0.5 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - a - 24 = 0, 2*f + 6*a = 4*a. Let y be (-11)\/(-44) - (-91)\/4. Solve -3*w + y = 5*d, 14 = -d + f*d + 2*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552209, 1104407, 1656605, 2208803, 2761001, 3313199?\nAnswer: 3865397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -15\/83, -13 in decreasing order.\nAnswer: -15\/83, -13, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.29 (b) 2 (c) 0.2 (d) -0.3 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0227, -0.05, -5 in decreasing order.\nAnswer: 0.0227, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d - 16. Let i = d - -4. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 7. Suppose -3*i = 5*g - 64, -i + 8 - 60 = -5*g. Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1748217330 and -1748217331 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23995, -23884, -23773?\n\"Answer: 111*a - 24106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 106?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 - u**5\/30 - u**4\/8 + 2*u**3\/3 + u**2. Suppose 76*b = 71*b + 180. Suppose 249*q - 261*q = -b. Determine x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*p + 25 = 136*p. Suppose 4*x = -2*l + 622 + 724, -p = l. What are the prime factors of x?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(121\/11))\/(1\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3735, 89 in increasing order.\nAnswer: -3735, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 19*y - 44 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 768.1224 + -0.1224. Let h = 768.0989 - q. Round h to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 28 = -2*m. Let u = m - 6. Suppose -2*n = -3*h - u, 5*n + h - 46 = 2*h. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4369\/10910 - 1\/2182. Which is bigger: a or 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12635 + -12635. Suppose l - 6 + 0 = 0. Solve x = -l*d - 0 + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -2*a + 2*u, 0 = a + 3*u - 13. Let k = -18 - -34. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -1 + (-1 - 0). What is the third derivative of -o**z - 3*o**4 - 2 + 6 - 4 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5501.1 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 5. Let w be t(3). Let a(s) be the second derivative of 2*s + 8*s**2 - 4\/3*s**3 + 1\/12*s**w + 0. Factor a(j).\nAnswer: (j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((-239 - -260) + (1 - -50))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31241 to four decimal places.\nAnswer: 0.3124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - l)*(-68 + 104 + 28 - 47 + 640).\nAnswer: -1314*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epepepp. What is prob of picking 1 e and 2 p?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(2299) + 2 - (sqrt(171) + -2*sqrt(171))) + (1 + sqrt(2736))**2 + -5).\nAnswer: -13675 - 190*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 79. Let h = -279 - -266. Calculate the smallest common multiple of m(h) and 49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2721 + 2722. Which is the smallest value? (a) -4 (b) q (c) -65 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, q: 3, a: 1, c: 1, b: 1}. What is prob of picking 1 b and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11456 - 815 = 209*u - 803 - 51 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 2 + 2283*t + 1199*t + 0 + 4.\nAnswer: -t**2 + 3482*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111232 - -2?\nAnswer: 111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2268 and -2?\nAnswer: -0.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, x: 13}. Give prob of picking 2 t.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 505483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 49 - 197*h - 201*h + 402*h. Calculate the remainder when b(-6) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -330138*s. Let x(z) = -111*z. Give x(t(v)).\nAnswer: 36645318*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 267, -7, 7 in ascending order.\nAnswer: -7, 2, 7, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 18 + j**2 + (j - j - 2*j)*(0*j - j - j) - 4*j + 4*j + j**2 in the form f*j**2 + y*j + m and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 542898306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4248)\/21)\/((-13)\/91)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 6) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 7, 0.625184 in ascending order.\nAnswer: 0.6, 0.625184, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34404 and 3196?\nAnswer: 584868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p + 54*p = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*((-248)\/(-24) - 8). Solve 0 = -3*y + 4*h + 4 + 4, 0 = 4*y + h + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10293*l**3 - 14136*l**3 - 13936*l**3 - 14724*l**3 + 3681*l**3.\nAnswer: -28822*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643704207 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 27*v**2 + 112*v + 136. What is the units digit of u(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 a when three letters picked without replacement from ataj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/81)*(((t**(-15)*t)\/t)\/t*t)\/t*t*(t**2)**(-33) assuming t is positive.\nAnswer: t**(-6478\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*g - 57*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + (-4 + 5 - 3 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25115980.\nAnswer: 2, 5, 1255799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, -0.08, 2, -0.05, 2\/15?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 6*k**2 + 2*k - 6. Suppose 4*h + 10*s - 5*s = -36, 3*h = 3*s. What are the prime factors of p(h)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - j**2 + 2. Let q be w(0). Let t be (18\/(-4))\/(-3)*q. Solve 6 = t*a - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 4.23?\nAnswer: 2.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*z + 494*h**2 - 148355*h*z**2 - 3*h - 25 with respect to z.\nAnswer: -2*h**2 - 296710*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 794504?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1293543, 0, 2 in descending order.\nAnswer: 1293543, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5876*f - 5834*f + 588 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1919, -3839, -5759, -7679?\n\"Answer: -1920*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-49*l**3 + l**3 + 8*l**3) - 9*l + 9*l + 7*l**3.\nAnswer: 47*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2071524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 129*h**2 + 933*h + 1740. Determine p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 - 2*x**2)*(-44*x + 585 - 585) + 6*x**3 - 4*x**3 + 0*x**3.\nAnswer: 46*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 8:15 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**4 + 6*j**2 - 1 - 4298*j**3 + 4298*j**3 + (0*j + 0*j - j**2)*(3*j - 3*j + 2*j**2).\nAnswer: 3*j**4 + 6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 33077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n + 15. Let m be h(0). Let x be -5*(-2)\/m + 188\/6. Suppose 13*p + x = 14*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wzwzwwww?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 5*j - 187. What is b(-12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-3))\/(8\/(-24))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 191*n - 6. Let c be k(2). Suppose -o + r = -87, 3*o - 2*r + 116 = c. Let u = o + -77. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10 + 6*x**3 + 103*x**2 + 0*x - 109*x**2 + 4*x - 7*x**3. Calculate t(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + x - 30, 5*x + 3 = -7. Let i be 14\/4 - 8\/h. Solve -i*s = -8*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -346*y. Let n(f) be the second derivative of f**3\/6 - 44*f + 3. Give h(n(v)).\nAnswer: -346*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*26*920\/80 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 77*b - 76*b - 4*y, 0 = -5*b - 3*y + 53 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 175879 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.9 + -0.1. Let u = x - -9. Which is the second biggest value? (a) u (b) -3 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m + 6. Let c(i) = 9*i - 9 + 8*i - 6*i. Let p = -43687 + 43679. Determine p*v(z) - 5*c(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 29. Is 4 a factor of m(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 11:40 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/36 + 41*n**3\/9 - 1525*n. Factor g(x).\nAnswer: x*(x + 82)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7895.289 millimeters to kilometers.\nAnswer: 0.007895289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 99 = -2*n. Let g = n + 50. Suppose -g*o + 264 = -13*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g + g + (-g - 2*g + g)*(-2 + 1 - 1) - g + g + g)*(-10 + 11 + 29).\nAnswer: 270*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178514.47 - 177796.4339. Let f = -718 + a. Is f equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 5*b + 20. Let s(c) = -c - 4*c + c**2 + 2*c - 4 + 4*c**2. Is s(b) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -154902 divided by 14082\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4283 divided by 4\nAnswer: -4283\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(4 - 3)*2. Suppose 2*d + 4 = -0*d + t*i, 11 = 2*d + i. Suppose -30 - d = -a. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -424599\/26 - -16334. What is the common denominator of h and -59\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-27) + 2 + 27599\/1737.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1cca - 3099?\nAnswer: -5096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 - 66*i - 55. What is a(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, 2, -22 in increasing order.\nAnswer: -22, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5362 + 12320?\nAnswer: 21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189.2 + 189. Let g be -8*(2\/11 - 20\/1320). Which is the third smallest value? (a) 0.32 (b) f (c) 0.4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17452 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 3}. What is prob of sequence xx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5963064 is divided by 2793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/975*(-7 + 8).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) - (-122)\/(-5). Suppose -4*y - 4*m = -112, -5*m + 6*m + 112 = 4*y. Let u = y + b. Solve 3*k - v - 4*v = -26, 4*k - 8 = -u*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*i + 26, 160*b + 23 = -4*i + 159*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Suppose 2*k + 11 = 9. Let r(f) = 48*f**2 - 1. Let o(c) = -1. Let t(v) = k*o(v) + r(v). Determine x(t(b)).\nAnswer: 4608*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 1:43 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1206 - 647. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 359035 - 5?\nAnswer: 359030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - 2*r - 1. Let j be k(-1). Suppose 0 = -w - 2*w - 27. Let g = j - w. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*a + 139*a = 357. Suppose -35 + a = w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - x - 245, 4*s + 65 = 5*s + 3*x. What is the remainder when s is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0 - 1\/36*r**4 + 1\/180*r**6 - 1\/90*r**5 - 3*r**2 + 0*r**3 + 0*r + 1\/315*r**7. Determine j so that d(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.7 - -50. Let f = 24 - u. Let q = f + -13. Sort 1\/2, q, -4.\nAnswer: -4, q, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 436 = 11*b. What are the prime factors of b?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(6*f**2 + 11*f**2 - 21*f**2) to the form j + k*f + c*f**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7381627670.\nAnswer: 2, 5, 283, 2608349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186 + 295. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 278318, 556637, 834956, 1113275, 1391594?\n\"Answer: 278319*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -2*i + 2*n - 6, 2*i + 5*n + 10 = 0. Let w = -12 - -40. Let o = 35 - w. What is the least common multiple of i and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*147\/(-66) + -17 + (-3760)\/(-220)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 9*l + 7. Let t be x(-7). Let i(g) be the first derivative of -g**2\/2 + 9*g + 27. Give i(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 - -132. Solve 0 = q*j - 13*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 679\/15 - 134\/3. Are -38 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26359459 or 26359452?\nAnswer: 26359452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2746*q + 36. Let k be f(-29). Round k to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138979.\nAnswer: 47, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 + 4. Let a(r) = r**2 + 1. Let z(o) = 4*a(o) - b(o). Let i(k) = 18*k. Determine z(i(f)).\nAnswer: -648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((-16)\/(-144) - (-5136)\/(-1512)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 32. Let t be (-4)\/w + (-42)\/(-4). Let r be 1*1\/(2\/20). Calculate the highest common factor of t and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 189*y - 87*y - 109*y + 2.\nAnswer: -7*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 - 17*x**2 + 5*x + 2. Does 95 divide a(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1591*z**3 + 2*z**2 - 1. Let c be u(1). What is c rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 + -11 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 - n + 1. Let v(w) = w**3 + 4*w**2 - 2*w + 2. Determine 2*m(q) - v(q).\nAnswer: q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 16*m + 14. Let k(t) = 4*t + 3. Let g(w) = -2*b(w) + 9*k(w). Give g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 1, z: 3, b: 4}. What is prob of sequence bbi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -65*u + 3. Let t be l(-5). Is (t + -3 - -2) + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9123693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3672202506 - 108.\nAnswer: -3672202614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165472889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 times -93766.9\nAnswer: 4313277.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*r - 24*r - 16*r**5 + (3*r**2 - 4*r**2 + 2*r**2)*(-r - r**3 + r) + 7*r**5 + 2*r**5 - r**5.\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31173.1 and -0.4?\nAnswer: -12469.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, 445, -4.\nAnswer: -212, -4, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 + 749 - 113*j - 246 - 248 - 56*j.\nAnswer: -169*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f + 8. Let z be 198\/27 + (-8)\/6. Is f at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97411 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:50 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123, -119, -129, -165, -239, -363, -549, -809?\n\"Answer: -2*l**3 + 5*l**2 + 3*l - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267 - -0.01.\nAnswer: -266.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**3 - o - 49*o**3 + 55*o**3 + 138*o**3 + 5*o**3.\nAnswer: 135*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/4 (b) 0 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 6*c - 2*c + 22, -2*c - 4 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2 + 3*u + 21. Let t be g(9). Let f = t + 38. Solve 4 = j, 14 = 6*o - 3*o + f*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:52 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 1042*m**2\/3 + 2*m\/3 + 1042\/3.\nAnswer: -2*(m - 1)*(m + 1)*(m + 521)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*k + 93657 = 0, -80221 = -2*s - 2*k + 13401. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + f = m - 2, -26 = -5*m - 3*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*x - 444 = -0*x, l = -2*x + 434. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 49 = 52 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -15*s**2\/2 - 5*s - 1. Suppose -9 + 5 = l. Is n(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 + 25916*j.\nAnswer: 25916*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 146 = 122 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 - (-31764)\/84)*70\/4.\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*s - 178 = 0, 0 = 3*k + 3*s + 301 - 34. Let r = k - -91. Solve -1 = 3*u + r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4759*y + 1346 + 2928 + 3156 - 2434 wrt y.\nAnswer: 4759","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1480*q**4 + 828*q.\nAnswer: -17760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48133.79 decades?\nAnswer: 481337.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -4808*f**5\/5 - 5616*f - 7693. Find the first derivative of v(z) wrt z.\nAnswer: -19232*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-333)\/74)\/((-2)\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 + 115. Let c(g) = 2*g**3 - 58. Let b(z) = 5*c(z) + 3*v(z). Let o be b(0). Let d = o - 15. Is 40 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-21 - 14 - 5)*(-4 + 4 - 3)*(-2*w + 0*w + 3*w).\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106, -2220, -3334?\nAnswer: -4448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 32*g + 17. Let k(h) = 16*h + 9. Let i(o) = 5*k(o) - 3*s(o). Let n be i(-2). What is the greatest common divisor of n and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 112?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, 187, 488, 809, 1156, 1535, 1952?\nAnswer: 2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 477*v**3 + v + 68*v**2 - 2 + 477*v**3 - 944*v**3 in the form c + i*v**2 + p*v**3 + w*v and give i.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 19263937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 402192.7820713 + -402190.85. Let r = 2.7120796 - g. Let q = r - 0.78. Round q to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*g = 5, -4*a - g = g - 2. Let v = 4 - a. Factor -1\/3*f**v + 1\/3*f - 1\/3*f**3 + 1\/3*f**2 + 0.\nAnswer: -f*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13266 is divided by 426?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4004 is divided by 191?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 1, e: 4, k: 1, m: 2}. Give prob of sequence kj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -860 in ascending order.\nAnswer: -860, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/56*1*-21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55210739 divided by -9?\nAnswer: 55210739\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -0.9, 0.4, 4.7, -0.3 in decreasing order.\nAnswer: 4.7, 3\/2, 0.4, -0.3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.8 - 8. Let j = 0.608 + -5.608. Let t = -11\/4 + 3. Put t, a, j in ascending order.\nAnswer: j, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 4, v: 4, r: 10}. Give prob of picking 1 t and 1 r.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 + 3*u + 16. What is q(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 149 - 112 = 0. Find the third derivative of -d*n**2 + 629*n**3 - 536*n**3 + 85*n**2 wrt n.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36462 + -1?\nAnswer: 36461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j - 4 = -4*h, h - j - 1 = 0. Let r be (h + 0)*(-2)\/10. Let d = 22806 + -22805.7. What is the closest to -3\/4 in d, -2\/15, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/21 - (3104\/112 + -27) - 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 11.6413, -9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 + 4 = 0. Let i = x - -6. Is 5\/((-15)\/(-14))*i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10205 (base 6) to base 16\nAnswer: -55d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 3201?\nAnswer: 25608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 280100 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -5, -2\/65, 4?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**16*s)\/s))\/((s*s**(8\/11)\/s)\/s))\/(s**(-1\/20)*s*(s\/(s*s**15))\/s) assuming s is positive.\nAnswer: s**(-149\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -349?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 4. Let l be m(6). Let d(w) be the third derivative of 2*w**2 + 0*w + 0 + 1\/8*w**4 + 1\/60*w**5 + 0*w**3. Calculate d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 2, 2571, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1888 + -1887. What is the fourth smallest value in -0.3, -2\/11, -1.17, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 156*u**2 + 2*u + 46. Let h(s) = s**3 - 88*s**2 + 2*s + 23. Let w(r) = 7*h(r) - 4*k(r). What is w(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 96128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -783*a**5 - a**2 - 34*a.\nAnswer: -46980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -526\/2411 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)*b)\/b**9)**(-22\/7)\/(b*b**(2\/27)\/b*b*b**(-1\/4)*b)**(-1\/15) assuming b is positive.\nAnswer: b**(607259\/11340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 93. Suppose -5314 - 3298 = -k*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q - 112 = 0. Let a = -52 - q. Find the common denominator of (-1)\/(a\/(-249)) - -2 and 91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 142 + -4?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 + v**4\/24 - v**3\/2 - v**2 - 18*v. What is i(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14)*(3 - 4). Which is the third smallest value? (a) h (b) 0.4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let d(l) = 2 - 2420*l**t + l - 1278*l**3 - l**2 - 2052*l**3. Let y be d(2). Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 1)*(3432\/40 - 4). Sort f, -2, 5 in increasing order.\nAnswer: -2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:22 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1425 = -5*o - 1025. Let u be (-2 - 2\/(-4))\/(21\/o). Let q = 58 - u. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 674 (c) -1\/2 (d) 2 (e) 0.5 (f) -4\/1735 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 + 7*i**3 - i**2 + i**2 - 6*i + 5. What is the tens digit of s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.06?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*n + n - 231 = 0, -2*n = 2*f - 140. List the prime factors of f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1900) - (3 + sqrt(1900) + 0))**2 + (-2 + sqrt(1900)*1)**2 + sqrt(1900) + (sqrt(1900) - (-5 + 0 + sqrt(1900)) - (-1*(1 + sqrt(1900)))**2)).\nAnswer: -85 + 250*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(10)\/(sqrt(18)*1) + -1*sqrt(605) + sqrt(605) + 4*(0 + sqrt(5))).\nAnswer: 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 5, 1056574 in increasing order.\nAnswer: 0, 2, 5, 1056574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.7. Suppose 2*l + 0 + 7 = a, 3*l + 8 = a. Suppose -2*h + 6*h + 8 = 0. What is the closest to -0.2 in l, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -551971, 3\/7, 33 in decreasing order.\nAnswer: 33, 3\/7, -551971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(0 + 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*q**2 + 110\/9 - 32\/9*q = 0 for q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12790 divided by 2558.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*w**3 - 48*w**3 - 205*w + 205*w.\nAnswer: -91*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 294799420 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -5. Let b(d) = 32*d**2 - 80*d. Let h(m) = 21*m**2 - 53*m. Let z(x) = u*h(x) + 5*b(x). What is the second derivative of z(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2215 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - t. Let k be o(1). Let s = k - -7. Let h(c) = c**3 + 7*c**2 + 4*c - 8. What is the remainder when h(-6) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/7 - (-130)\/52*122\/76. Is n equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -b + 2*a + 20, 5*a = -5*b. Suppose 4*u = b*i + 48 + 8, 2*u + 4*i + 2 = 0. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -196*j - 12145. What is r(-62)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 36 = 4*j, 0*j - 135 = -5*x + j. Let i(p) = p**2 + 11*p + 11. Let g be i(-9). Let w(f) = -f + 3. What is the remainder when x is divided by w(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(208))*6 + sqrt(208))**2.\nAnswer: 336*sqrt(13) + 10228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 20*y - 20. Let z(m) be the first derivative of 1\/2*m**2 + m + 110. Give -v(l) - 20*z(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -598, -5782, -14424, -26524, -42082, -61098, -83572?\n\"Answer: -1729*u**2 + 3*u + 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244.4471 litres to millilitres.\nAnswer: 244447.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -3 - 1) + -173. Let l = n - -166. Let b = -2 - 3. Is b equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 6*u + 3. Let v(i) = i**2 + 4*i + 2. Let w be (-7)\/2 - (-3 + 9\/2). Determine w*h(l) + 8*v(l).\nAnswer: 3*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 222*c. Let z(p) = -p**2. Let x(s) = 2*s**2. Let t(v) = 6*x(v) + 13*z(v). What is u(t(o))?\nAnswer: -222*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11\/190 (b) -64 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22324831 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.87 - 0.13. Let h = z + 1.6. Sort 0.3, 0.4, h in decreasing order.\nAnswer: 0.4, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emm when three letters picked without replacement from {e: 6, b: 7, m: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.1 + 29. Let d = 28.37 - 28.41. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76377?\nAnswer: 3, 7, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 162523 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18158476 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/49)*(r\/(r*(r**(-7)\/r*r)\/r*r))\/r*r\/r**(-11)*((r*r**13)\/r)\/r assuming r is positive.\nAnswer: r**(1468\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(5\/3))**(-22\/3)\/(b**(-3\/2)\/(b**(-6)*b))**30 assuming b is positive.\nAnswer: b**(-890\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(1768 - 1737)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20000 + 112111200?\nAnswer: 112021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m + 113. Let l(r) = -8*r + 140. Let s(b) = -7*d(b) + 6*l(b). Let v(g) = -21*g. Calculate s(v(k)).\nAnswer: -21*k + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7323 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.505 (b) -51\/4 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**5 + 0 - 2 + 2*s**5 + s**2 + 4*s**5. Let i(z) = -10*z**5 - 3*z**2 + 7. Let p(w) = 7*a(w) + 2*i(w). What is the third derivative of p(y) wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152.5 - 197. Let b = -45 - z. What is the third biggest value in 0.2, 4, 1, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:11 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52894, 211782, 476662, 847528, 1324374, 1907194, 2595982, 3390732?\nAnswer: 4291438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1465991616 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 6*j = 75, 552*j - 549*j - 29 = -r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*q - 105*q - 15 - 119*q.\nAnswer: -15*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-2 + -10 - 19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -167.14?\nAnswer: 50.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61161351085 and 0.09.\nAnswer: -61161351084.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*k**3 + 1793*k**3 + 989*k**3.\nAnswer: 2890*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o**5 + 84*o**4 - 16*o**3 = 0.\nAnswer: -4, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(2*i - 3*i + 4*i) + 6 - 6 - i + (6 - 5 - 3)*(-i + 5*i - 3*i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 52 + 3*x**2 - 7*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 8\/3, 108, 5, -4\/9 in increasing order.\nAnswer: -4\/9, 2\/11, 8\/3, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 30*h - 3*w - 718 = 0, -h - w + 690 = 0. Calculate the smallest common multiple of 20 and h.\nAnswer: 13940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:48 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 3 + v + 4. Let q(d) = 3*d - 1. Let o be (119\/14 + -6)*1*2. Suppose -o*z + 3*s + 11 = 6, -z + 5*s + 1 = 0. What is z*q(f) + 4*c(f)?\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:22 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/((-65)\/10)*12\/(-8). Which is the nearest to -1? (a) -2 (b) -5\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/4))\/(v\/v**2))**27 assuming v is positive.\nAnswer: v**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56067 is divided by 435.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -158265.3 take away -0.3?\nAnswer: -158265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/33 - (2 - 0) and (-142)\/(-3)*(-24)\/240.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 greater than 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 7) to base 12.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*a**2 - 272*a**2 - 332 + 1055*a**2 - 265*a**2 - 267*a**2 to y + k*a**2 + o*a and give y.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -115\/2. Solve m + 1\/2*b**2 + b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c. Let f(i) = 7069225*i. Calculate b(f(q)).\nAnswer: 21207675*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**7\/168 + r**6\/24 + 7*r**5\/80 - 5*r**4\/48 - r**3\/4 + 203*r. What is b in h(b) = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 17. Let s be ((-18)\/(-15))\/(g\/10). Sort -5, 3, s in descending order.\nAnswer: 3, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*d**3 + 287*d**3 + 22 - 92 + 25.\nAnswer: 630*d**3 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*d**5 + 3878*d**4 + 32094*d**3 - 291598*d**2 - 349900*d - 30000 = 0. What is d?\nAnswer: -25, -1, -4\/43, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - y - 13, 5*c + 5*y = -1 - 4. Suppose -45 - 12 = -c*x. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 82. Calculate the common denominator of 3\/5 and (t\/16)\/(-7)*-71.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-1 + 4 - (647 - 632)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + g + g)*(-1 - 3 + 3)*(-2*g**2 - 2*g**2 + g**2) to u*g**2 + j*g + n + t*g**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus -25.50127?\nAnswer: -25.44127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-196)*7 + (-26)\/(-7). Suppose -6 = -5*v - 0*v - 3*n, 5*v + 8 = p*n. Solve 4*g - 5*m + 9 = 0, 4*m = -2*g - v*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.18, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 44*p + 24. Let w be z(-31). Suppose w = -3*k + 442. Put 2, k, -5, 15 in decreasing order.\nAnswer: 15, k, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(-4\/11)*f*f))**(19\/2))**11 assuming f is positive.\nAnswer: f**(-551\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.36, 5, 3, -0.1, 0, -4\/467 in decreasing order.\nAnswer: 5, 3, 2.36, 0, -4\/467, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 23 + 71)*(1 + t - 1) to the form k*t + l and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88\/21 + 27\/7. What is the closest to -2\/7 in 1, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44064, -44424, -44774, -45108, -45420, -45704, -45954, -46164?\n\"Answer: p**3 - p**2 - 364*p - 43700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1921866192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 11. Determine x(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1710, -1712, -1714, -1716, -1718, -1720?\nAnswer: -1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011184 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, 36, -13, -0.3, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/3*370608\/70592?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.87909 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -30148 + d**3 - d**2 + d**4 + 15073 + 48*d + 15076 as l*d**4 + u*d**2 + g + k*d**3 + c*d and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -10, -14, -18?\n\"Answer: -4*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2 - -3)*(0 - 1). Put 0.3, 1, p in decreasing order.\nAnswer: 1, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 46446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55731 and 2696523.\nAnswer: 35054799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/336 and 43\/4.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -504, 0.2, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -8399 and -8400 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4878 and 10539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214200 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*o - 7 = -x + 145*o, 0 = -2*x + 3*o + 16. What is the remainder when 197 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s - 1. Suppose 40 = -2*d - 2*d + 4*w, -10 = 2*w. Let v(c) = -c. Let q(n) = d*v(n) + 3*o(n). Let k(x) = -2*x + 2. Determine 7*k(r) + 4*q(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13882, -27770, -41672, -55594, -69542?\n\"Answer: -j**3 - j**2 - 13878*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*x + 11, 4*u - 8*u + 2*x = -16. Suppose 0 = -u*y + 24 + 176. What is the highest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 169*l - 2175. Determine d(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 3*o + 4. Let h be g(2). Suppose 0 = -4*j + h*j - 5786. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-14)\/2*(-44)\/(-132).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 + -22?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 955486493 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5*r - 15 = -10*y, -3 = 5*y - r. Suppose 5*l - 3916 - 3669 = y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*d + 176*d + 199*d)*(5 - 6 + 3)*(2 - 2 + d)*(2*d + 2 - 2).\nAnswer: 1808*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -71, -336, -781, -1406, -2211, -3196, -4361?\n\"Answer: -90*n**2 + 5*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/21)*p)\/p*p)\/p*p*p*(p*p**(-15))\/p)**(-44) assuming p is positive.\nAnswer: p**(11968\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 176 = 5*z - 54, 0 = 4*b - 3*z - 212. Solve -51*s = -b*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 4, -1064, -158 in increasing order.\nAnswer: -1064, -158, -4, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 13) in base 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1277801 or -1277782?\nAnswer: -1277782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/(-9) - 2\/3. Let l = 15 + p. Suppose -w - 15 = 4*q - 4, 3*q = -l*w + 30. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 220120012?\nAnswer: 220120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.84 + 8.453. Let w = j - 3.613. What is the nearest to -1 in w, 0, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*q + 40, 3*v + 19 + 17 = -5*q. Let f(h) be the second derivative of h**3\/3 + h**2\/2 - 2*h - 12. Give f(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 35, 33, 3296, 0 in decreasing order.\nAnswer: 3296, 35, 33, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - k**2 - k**2)*(-4 + 4 + 1) - 3*k**2 + 2*k**2 + 3*k**2 - 2*k**2 - k**2 + 5*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 + 136*s**2 + 3*s + 48 wrt s?\nAnswer: 40*s**3 + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1800135 is divided by 1800132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (21\/15 + -1)*(-3)\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*4\/(-126))\/((-155)\/(-23250)*-25)?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 + 144?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/25, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007280541253 rounded to 6 dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 15 = -2*a. Let i be 125\/175*(-6)\/(-15). What is the second biggest value in i, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 69438051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxpxxnxxxpxppgggxx. What is prob of sequence ngxp?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/6*(-12)\/(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by -2.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*s = 1788*s + 22725 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 2)*(-3 + 3 - p**3).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((-14 - (-52 - -20)) + 15)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64201621?\nAnswer: 11, 29, 313, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 7 = -4*u, 2862*u - 2861*u - 10 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 3. Let r be 1*15*1*10\/(-25). Let j(b) = 3*b + 24. Let x be j(r). Give s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/(77 - (-18470)\/(-240))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2406229 - 1987754 = -72*p + 84633. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1358106 divided by -2946\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.2, 169?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 12, h + 4*s + 1070 = 3*h. What are the prime factors of h?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*f = -6*f - 4, 2*f = -j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c - 10. Let n(w) = -w**2 + 12*w + 16. Is n(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**0*q)))**(13\/8)*(q**2\/q)\/(q**(3\/2)\/q) assuming q is positive.\nAnswer: q**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122, 4378, 9806, 17406?\nAnswer: 27178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-3)*12\/(-10). Suppose g = 4*p, -2*b + 3*b + 33 = 2*p. What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4 - 0) + 3 - 1. Suppose -4*g + 2*g + j = 0. Let b = 5 + -5. Solve 5 = -4*m + s, -g*s + b = m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0 + 0 - q**2. Let g(w) be the third derivative of 0*w**3 + 0*w + 0 + 9*w**2 + 0*w**4 - 1\/30*w**5. Give f(g(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12914263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2 + 2)*(8*r - 15*r - 7*r) + 4*r**2 + 18*r**2 - 12*r**2 to the form g*r + f + l*r**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*a - 293 - 1071 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 60105.14 nanograms?\nAnswer: 0.00006010514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -393*f + 107. Is q(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2513\/3 + 835. Which is the nearest to -3\/5? (a) 0 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 40 = 4*n. Let b = n - -12. Find the third derivative of -y**5 - y**b + 0*y**2 + 8*y**5 - 2*y**5 wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-10)*(1 - 11). Put -0.5, 3, v, -1 in ascending order.\nAnswer: -1, -0.5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 6. Let u(d) = -4 + 2*d + 3 + 2. Let k be u(2). Sort 3, x, k in descending order.\nAnswer: k, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34526 (base 8) to base 11.\nAnswer: -10034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395796 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**9\/252 + u**6\/40 - u**3\/3 + 12*u**2. Let b(l) be the first derivative of w(l). What is the third derivative of b(i) wrt i?\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-4 - (-1 - 3). What is the units digit of (1 + 0 + -11)*o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -304705 - -1730?\nAnswer: -302755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 211?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 9 - 15. Suppose -5*u = -5*x - 480, 4*u - 227 = -3*x + 136. What is the remainder when u is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-10)*(-1225)\/(-1470)*2*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/310 and -4\/5.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.155 rounded to one dp?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 117*b**2 + b + 17. Let w be f(5). Do 2947 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + 1. Let b(h) be the first derivative of 196*h**3\/3 - 51*h**2\/2 + 86. Let v(k) = -b(k) + 2*t(k). Find the second derivative of v(q) wrt q.\nAnswer: -404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 31 + 2*f**3 + f**4 + 32. Let b(l) = 9*l**4 + 5*l**3 - 5*l + 5. Let d(p) = -b(p) + 5*t(p). Find the second derivative of d(m) wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14506*h - 24091*h + 38602*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3*k - 1. Let p be n(-3). Let w be (12\/(-36))\/(p\/3). Let d be -3 - (-3)\/(-6)*-2. Which is the closest to w? (a) -5 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*l**2 + 873*l**2 + 352*l**2 + 1746*l**2.\nAnswer: 2362*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**4\/4 - 59*q**3\/4 - 229*q**2\/4 - 29*q\/4 + 69\/2 = 0.\nAnswer: -3, -1, 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.01208042 to two dps.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86 - 18*k + 86 - 30*k**2 wrt k?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*v = 217*v + 68680. List the prime factors of v.\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 4*m - 74, -39*m + 38*m = r - 2 - 11 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418319\/22 equal to 64470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1496, -1509, -1536, -1583, -1656?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001784262605 rounded to 7 dps?\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Suppose -11*k = -54 - 265. Suppose 0 = 4*i + 3*d - k, 5*i + d - 37 = -2*d. Determine v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose 10 = x*v - 4*u, 5*v + u - 6*u = 30. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*v + 265*v + 3696 = 628*v for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189507*x**5 - 2*x**4 + 188*x + 1851 wrt x.\nAnswer: -3790140*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((6\/(-3))\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1028957 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmzlhhmalhpp. Give prob of picking 1 z and 1 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1649767362 by -26609151.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530175?\nAnswer: 3, 5, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 - 3*r + 1. Let s be x(-4). Let a be (0 - 8\/20)\/(14\/2030). Let c = a - s. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 84*t = 80*t - 100, -3*l + 60 = t. Suppose 5*j = 3*c + 210, j + 5*c - 53 = -j. Find the second derivative of -3*f + j*f - 18*f + l*f**3 wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -37, -56, -91, -148, -233, -352?\n\"Answer: -a**3 + a**2 - 5*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -681644 divided by 340822?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.044, 7, -18, 0.03 in descending order.\nAnswer: 7, 0.03, -0.044, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1 - -1) + 0)\/(-1). Let o = -4 + 6. Let w = o + a. Solve w*f - 7 = -1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2910, 11687, 26346, 46875, 73262, 105495, 143562, 187451?\nAnswer: 237150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574132 is divided by 9898?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4460.9206 rounded to the nearest 10?\nAnswer: -4460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 4:36 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 702*t + 24700. Determine n(-35).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010101111110 (base 2) in base 7?\nAnswer: 315225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -38\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - ((-88)\/20 + 6))*190. Suppose -t - u = -6*u - 3, 0 = 2*t + 4*u - f. Solve -o + 28 - t = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -351.7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 21. Let d be t(6). Let j(i) be the third derivative of 0 + 0*i + 7\/6*i**d - 1\/3*i**4 - 9*i**2. What is the first derivative of j(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/25 + (-158)\/1975?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1353 * -2\nAnswer: -2706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-2*m**2 + 2*m**2 + 3*m**2) + (4*m + 0*m - 2*m)*(0*m + 4*m - 5*m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001948 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, 7.\nAnswer: 2, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(140)*5 + sqrt(140))\/((sqrt(20) - sqrt(60)\/sqrt(3))\/sqrt(4) + sqrt(5)) - sqrt(700)*2*4*-2)**2.\nAnswer: 161728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.38 (b) 2\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 72150*y**2 + 216495*y.\nAnswer: -5*y*(y - 3)*(y + 14433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-2))\/n)\/n)\/n)**(-5\/6)\/((n**(1\/3)*n*n)\/(n**0*n*n)) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 16*x - 4*x. Let m be s(-2). Is (m - 2) + 4 + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 8. Let t be i(-9). Suppose 3*q - 2 - 1 = 3*x, 3*x - t = -q. Suppose x*w = -3*u + 195, -9 + 4 = -u. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -667, -2060, -1, -4 in decreasing order.\nAnswer: -1, -4, -6, -667, -2060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.976 + -0.024. Let c = -20.3 + 2.3. Let q = c - w. What is the nearest to 0.1 in q, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 and 2556?\nAnswer: 194256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*j = 0, -5*g + 6 = -2*j - 6. Let s be g\/2 + (3 - 1). Suppose 4 = -4*i - 12, 0 = 4*l - 4*i - 24. Put -1, s, l in decreasing order.\nAnswer: s, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20235*d = 20218*d - 493 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-111)\/(-4) + 8\/32. Let r = 26 - d. Is r greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -41.4\nAnswer: -16.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, -8251, 5, 3 in ascending order.\nAnswer: -8251, -14, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/11 - 26624*z**3\/11 + 22080756*z**2\/11 - 6284788208*z\/11 + 600784092410\/11.\nAnswer: 2*(z - 12445)*(z - 289)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 + 13*j - 33. Let p be n(-9). Let x = 427 - p. What is the remainder when 369 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1674 divided by 6.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -1\/20*i**5 - 1\/2*i**3 - 3\/2*i**2 + 5 + i - 5\/12*i**4. Let d = 20 + -23. Determine l(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3 + 110413*a**2 - 252227 with respect to a.\nAnswer: -9*a**2 + 220826*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 + 9834*g**4 + 386982*g**3 + 3668124*g**2 + 12583965*g + 13433850 = 0.\nAnswer: -27, -5, -2, 3317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 5 + 0 + 0. Let r be (-40)\/(-6)*(3 + p). Suppose 4*m - 3*m = r. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27\/172 - -4\/43. Let i = -3.5 - -3. Let c = -6.8 - -7.3. What is the second biggest value in i, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*s - 421*s + 25*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -252, -317, -336, -309?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p + 4. Let q be -6*(21\/9 - (-100)\/(-120)). Let z(u) be the first derivative of -27*u**2\/2 - 9*u - 4. Determine q*t(m) - 4*z(m).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d + 4. Let x be g(3). Let l be 2\/12 + x\/(-6). Suppose -t = -3*k + 26 + 37, -t + 77 = l*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let l(d) = 122576150*d**2. What is l(m(n))?\nAnswer: 490304600*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(3*m**3 - 2*m**3 + m**3) + 409 - 4*m**3 - 410 - 2*m**3.\nAnswer: -8*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.4, -2\/11, 3\/11?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*s = -4*t - 1370305, -4*t - s - 5481205 = 0. Let v = -370301 - t. What is v rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + sqrt(468))**2 + 4 - 3*(sqrt(1872) + 1))*-2.\nAnswer: -940 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -1 - (-4)\/4. Let u(j) = -j**3 + 9*j**2 - 6*j + 2. Let h be u(7). Suppose n = m + h. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 + o. Let b(d) = -d**2 - 8*d - 2. Let w be b(-8). Let n be (-10)\/4*w\/5. Calculate y(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -10. Let o = w + 7. Let z = -0.1 - o. What is the closest to z in -2, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136752 is divided by 962?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 689782716 divided by -2961\nAnswer: -232956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -932\nAnswer: -46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -16\/5, -2\/25, 2, -0.04.\nAnswer: -16\/5, -1.2, -2\/25, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3171785233?\nAnswer: 3171785233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*l - 16, -l + 31 = 2*k - 2*l + 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -164, -163, -164, -167, -172, -179?\n\"Answer: -g**2 + 4*g - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -121 * -471870\nAnswer: 57096270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1015 or -11596?\nAnswer: -11596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.46 (b) 1\/6 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 + 189 - (-1 - (-2 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851598.2l to millilitres.\nAnswer: 851598200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035160036 rounded to five dps?\nAnswer: 0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) -3\/11 (b) 4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/4 + 41*l**2\/2 - 791*l. Let i(f) = -3*f. Calculate h(i(p)).\nAnswer: 27*p**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 169?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 17412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 553 and -4.\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -187*c + 16. Let r(x) = 750*x - 67. Determine 25*q(b) + 6*r(b).\nAnswer: -175*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15372 and 498456?\nAnswer: 30405816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(175) + 3.\nAnswer: 1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v. Let t(g) = 4*g**2 + 3*g - 14. Calculate t(i) + 5*w(i).\nAnswer: -i**2 - 2*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213 by 71.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 7*s**2 - 7*s - 1. Let g be n(8). Let i = -7 + g. Suppose -2*k + i*x + 81 = -x, 5*k = -3*x + 230. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.809 and 0.04.\nAnswer: 0.03236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 4*y + 2. Suppose -p + 2*p - 5*u + 23 = 0, 0 = 2*p - 4*u + 16. Let s be c(p). What is the remainder when (-3)\/(((-4)\/26)\/s) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 4*u = 9*j - 104, 0 = 2*j + 3*u + 43. Let m(f) = -21*f + 93. Let n be m(j). Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-12) - 23\/(-276))*(-1 + 0). Let t(s) be the second derivative of 0 - s + 7\/2*s**2 + 7\/6*s**3 + v*s**4. Let y(p) = p + 1. Give -t(j) + 6*y(j).\nAnswer: -2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*u**2 - 111*u**2 - 116*u**2 - 108*u**2 + 438*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 11 - 13 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sofw when four letters picked without replacement from {f: 3, l: 2, w: 1, s: 3, x: 1, o: 3}.\nAnswer: 9\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 (base 10) in base 6?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 88?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 81. Let l = r + 116. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/(-24))\/(702\/72) - (-1)\/(-9).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -361.859395 to 2 dps.\nAnswer: -361.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23433 + 31397. What is the greatest common divisor of l and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)\/q)**(-38\/5) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/(-12))\/4*(-3 - (-340)\/100). Which is the nearest to 0.3? (a) -0.02 (b) y (c) 0.2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825.0356 weeks to minutes.\nAnswer: 8316358.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15253902 and -1.2602658.\nAnswer: 15253900.7397342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (-5 - 0 - 3). Solve 2 + t = -n, -3*n = -4*w + 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by -78*(-1)\/((-16)\/(-24))?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 454063664 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 24*s**2 + 186*s + 40. Determine q(-30).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1392\/4823 - 2\/689. Which is the nearest to f? (a) 0.1 (b) 0.4 (c) -3\/5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1195340 to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100071 divided by 3.\nAnswer: 33357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23766736049 from -0.4.\nAnswer: -23766736049.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 624803 - -0.1\nAnswer: 624803.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = 5*h + 7, -k - 2*h - 1 = 0. Suppose -k*r - 3 = -4*r. List the prime factors of ((-130)\/6)\/(r\/9).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*v + 2, -2*f - 4*v + 3 = -9. Is 9\/f*5*(-52)\/(-10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40030034 + -20?\nAnswer: -40030104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 261?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*p**2*t**3 - 837*p*t**3 + 134852*t**3 wrt p.\nAnswer: -60*p*t**3 - 837*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -763575, -763574, -763573, -763572, -763571?\n\"Answer: h - 763576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901293.\nAnswer: 2901293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 278\/13065?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38973039 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 17*o**5\/10 + 11*o**4\/12 - 4*o**2 - 3947*o + 2. Let y(k) = 11*k**3 + 4*k**2 - 3. Calculate 4*d(f) - 11*y(f).\nAnswer: 15*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/30 - h**5\/30 - h**4\/24 - h**3\/3 + 3*h**2 - 14. Let y(o) = -2*o + 14. Let r be y(8). Determine q(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -16, -4*k + f + 95700 = -0*f. List the prime factors of k.\nAnswer: 2, 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-2\/21)\/(b*b*b**(-1))**(-35)*b*b**(-2\/11)*b**(-3\/4)*(b\/(b\/b**(1\/4)*b))\/b**(-2) assuming b is positive.\nAnswer: b**(16735\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/97 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 39 = 5*h, -3*x = 2*x - h + 99. Let m = 31 + x. Suppose -m = -8*w + 5*w. Solve v = 4, w*v - 13 + 3 = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1709910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -808\/37?\nAnswer: -808\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 52 + 40573329*g**2 + 100.\nAnswer: 40573329*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26165.0927 to zero dps.\nAnswer: -26165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + k**2 - 2*k + 5. Let v be u(8). Let t = v - 315. Let w = t - 6252\/25. What is the third biggest value in w, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129884 divided by 6\nAnswer: -64942\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912 (base 15) to base 5.\nAnswer: 31132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 200, 0, -200, -400?\n\"Answer: -200*z + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186563009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, -3, 16, 3, 1 in descending order.\nAnswer: 16, 3, 2, 1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/5 - 63513*y**4 + 8404754454*y**3\/5 - 41997734322*y**2\/5 - 95789814885*y - 166382704125 = 0.\nAnswer: -3, 11, 52925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167937553 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gigg when four letters picked without replacement from snngnnnggnnngnngnisi?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70 - a?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*x - 324*x - 55*x)*(-6*x + x + 35*x)*(-x**2 + 2*x - 2*x) to the form t*x**4 + c*x**3 + p + b*x + d*x**2 and give t.\nAnswer: 10170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6864258 or -116692368\/17?\nAnswer: -116692368\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729.719768 rounded to 1 decimal place?\nAnswer: 4729.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(2 + 8)*-2. Let c = -269 - -691\/3. Let o = 211\/6 + c. What is the smallest value in p, o, -2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**3 + 439055*k**2 + 439050*k = 0.\nAnswer: -87810, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3573079 and 622.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281224175 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 12 - (-3 + -6 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 18 = 3*o, 0 = 2*o - 1241*t + 1243*t + 12 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.1. Let p = -4.1 - -0.1. What is the third biggest value in r, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 44295?\nAnswer: 132885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i)**(-5\/16)\/((i*i**1)\/i**(-4\/11)) assuming i is positive.\nAnswer: i**(-367\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a. Let g be i(-5). Let f be -1*10*g\/(-25). Let x = f - -30. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 3 (b) -3 (c) 0.08 (d) -5 (e) -9.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/60 - 77*d**5\/30 - 151*d**4\/12 - 25*d**3 + 685*d**2. Find w such that r(w) = 0.\nAnswer: -75, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 12:08 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9297 + 9297 + 2*g**2 - 4007*g)*(-1 - 1 + 0).\nAnswer: -4*g**2 + 8014*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - 14. Let f(g) = -2*g - 7. Let p(o) = 7*f(o) - 3*x(o). Let k be p(6). Let n(z) = 2*z. Let u be n(1). Sort k, u, 0 in decreasing order.\nAnswer: u, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - g - 3)*(-g**4 - 2*g**4 + 4*g**4) + 6*g + 4*g**5 - 6*g.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 1 (c) -2\/85 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78141 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.438 (b) 4632 (c) 0.3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -34*r + 56 - 61. Which is the nearest to -2? (a) -0.76 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82179*c**2 + 1122902 wrt c?\nAnswer: -164358*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 1283*v - 1288*v + 2574*v.\nAnswer: 3*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/3)\/3)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -2*w**7\/105 - 101*w**6\/30 - 231*w**5 - 14157*w**4\/2 - 47916*w**3 + 41*w**2 - 3*w. Suppose d(v) = 0. Calculate v.\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*a = -19, 6*t - 20 = 8*t - a. Is t < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2687*o**2 - 6*o - 36. Let b(x) = 10747*x**2 + 23*x + 138. Give -6*b(m) - 23*w(m).\nAnswer: -2681*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 - 1)*(0 + 2*y + 0) + 760485*y + 2117*y**2 - 760485*y + (2*y + 0*y + 0*y)*(3*y - 3*y - 2*y).\nAnswer: 2109*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 640250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/10)\/(1\/4). Suppose 2*v - 60 = -d*v. What is the remainder when 59 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**2 + 0*f**2)*(-3921 + 5511 - 3311).\nAnswer: -3442*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 143, 260, 355, 416, 431, 388, 275, 80?\n\"Answer: -2*c**3 + c**2 + 128*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 71 + 21 = 0. Let u = f - -29. Solve -7 = -j + 2*m, 37 = -4*j - u*m + m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1093 + 59 = 64*j. Solve -3 = j*v - 17*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m, 37*q = 17*q + 21*q - 2*m + 29. Let o(z) = -z**3 + 5*z**2 + z - 3. Let h be o(5). Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -440050?\nAnswer: 440044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:38 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-5 + 0 + 8)) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 + 11. Let v = g + 244. What is the highest common factor of v and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s. Suppose 8*b + 4*j = 4*b + 104, s = 5*j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/9, 0.11, 1\/7, -22?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536671*z - 150017*z + 100126*z.\nAnswer: -586562*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.22 * -234.\nAnswer: 1455.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*b**2 + 19*b**5 + 4*b**5 - 12*b**2 + 18*b**2 wrt b.\nAnswer: 1380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(2*sqrt(8)))\/((sqrt(126)\/sqrt(2))\/sqrt(7)) + -5.\nAnswer: -5 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 177 = 4*k. Let m = 83 + k. Let w be 2\/4*m\/(-63). Put 4, -0.4, w in ascending order.\nAnswer: -0.4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 17*w + 5. Let f be 1\/((-4)\/(-18))*2. Is n(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520318854?\nAnswer: 2, 3, 11, 691, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292293, -292291, -292287, -292281, -292273, -292263?\nAnswer: -292251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (40\/(-14))\/(3 - (-69)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*k = -15 - 5, 2*k = 4. Let o = n + -2. Solve 8 = 2*a, -o*p + 2*a + 10 = 34 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**4 + 0*y**3 + 0*y**5 + 1\/15*y**6 + 0 + 1\/2*y**2 - y. Differentiate j(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 13 = -8*w. Put 6.5, -5, w, 4\/5, -0.2 in increasing order.\nAnswer: -5, -0.2, 4\/5, w, 6.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(242)) + 4)**2 - (-2*sqrt(242) + 0 + 3*(sqrt(242) + sqrt(242)*-2))**2.\nAnswer: -5078 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 1150*l**2 + 49340*l + 929880.\nAnswer: 5*(l - 162)*(l - 82)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:09 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, 3, 2, -1 in increasing order.\nAnswer: -1, 2, 3, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 204*(-3)\/(-12)*2. Suppose 0*i = 3*i - z. Calculate the greatest common divisor of 85 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -2*a**7\/945 + a**6\/54 - a**5\/135 - 7*a**4\/18 + 4*a**3\/3 - 31*a**2. Solve h(v) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = i + c, i + 2*c = -4. Calculate the remainder when 28 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t = -11*t + 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 2*i + 21 + 17 to c + j*i and give c.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -85857 - 3*w**2 + 85672 + 4*w**2. Let h(d) = -28*d**2 + 6. What is c(h(p))?\nAnswer: -56*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*h + 5969 - 5969 + (-2*h + 2*h - 2*h)*(-7 + 1 + 4) - 1 + 1 + h - h + 0*h - h in the form g + a*h and give a.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 9 - 7 - (1 + 4 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 21*j - 341. Calculate o(13).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 146, 145, 142, 137?\n\"Answer: -q**2 + 2*q + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91871.7 - 0.4.\nAnswer: 91871.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) - (-50)\/6. Let a = 0 - -9. Is 232\/a - (-2)\/m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - k - 14, -5*y + 52 = -k + 78 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 4 - 7 - 4*n + 6.\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525668.\nAnswer: 2, 11, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, s: 1, z: 4, v: 1}. Give prob of picking 1 v and 2 z.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*v**5 + 91*v - 4 - 91*v - v**5 - 6*v**6 + v**2 wrt v.\nAnswer: -720*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 13) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16383265 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2) - (1600\/4)\/2. Let y = n - -197. Let g(q) = 5*q**2 - 3*q + 1. Calculate g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 268*h - 758*h + 185*h - 669*h - 541*h as b + t*h and give t.\nAnswer: -1515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 420.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*a = 61 + 6004 + 1579 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -298*b + 20551. Calculate g(69).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280\/(-660)*((-2112)\/72)\/(-8)?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 87550167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*l = 2, 1819778*v - 2*l + 15 = 1819775*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1677, -1787, -1971, -2229, -2561, -2967?\n\"Answer: -37*g**2 + g - 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 16. Let o = j + 2. What is the first derivative of u**3 + 7 + 0 + o*u**3 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m**0)\/(m**(-3\/8)*m\/m**(-2\/15)*m) assuming m is positive.\nAnswer: m**(149\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - 1) + -67 + 69 + -12.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0, 0.4, 3234\/25, 0.28?\nAnswer: 3234\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -237823 and -237823 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 = -3*z, -7 = -2*z + 3. Suppose -a = -t + 3. Solve -t*c - 3*n = -1, -5*n + 26 = -3*c + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2132.77099043 + -2131.90099. Let c = 0.87 - t. Round c to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 10 (b) -24 (c) -2 (d) 2 (e) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 420315 divided by -4003\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5781630445 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*k**2)*(-5 + 3 + 5 + 1 - 1 - 1 + (0 - 3 + 4)*(1 + 1 - 3) - 1 + 6 - 3 + 0 + 0 + 3 + 2 - 2 - 3) in the form r + i*k + s*k**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47.283*3.\nAnswer: 141.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68159791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8178769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 67 (b) 4 (c) -2 (d) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -22. Let k be l\/7 - (-5 + -2). Solve 2*m = -k*u + 8, 5*m + 5 = 3*u + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -185*q**6\/12 + 79*q**5\/3 - 47*q**4\/3 + 8*q**3\/3 - 208*q**2. Factor d(f).\nAnswer: -2*(5*f - 2)**2*(37*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-one quarters of a gram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65534 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-3)\/(-6)*(-15 + -419)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = 0, -5*s - 60 - 15 = -3*f. Let a be (0*(-2)\/(f\/(-5)))\/3. Let k = 42\/11 - 776\/209. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3. Let j = -259 - -260. Let y(m) = -m**3 - 2*m**2 + m. What is j*y(n) + 2*p(n)?\nAnswer: n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 29 (c) -3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**2 + 0*q**2 - 5*q**2 - 19*q - 4*q**2 wrt q?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/23 + 8406*h**2\/23 + 33600*h\/23 + 33592\/23 = 0. What is h?\nAnswer: -4199, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 159, 321, 547?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -4555?\nAnswer: 4551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -181009919\/12 and -15084160 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226 a factor of 2247928416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8*z + r - 11063, -5*r + 15 = 0. Calculate the remainder when ((z\/8)\/7)\/(1\/(-2)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 13. Let u = y - -51. Suppose -5 = -5*t, b = t + 2*t + u. What is the highest common divisor of b and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 - (-48077771)\/2003638. Let h = l + -2774\/109. Let u = h - 148383\/57772. Calculate the common denominator of u and 37\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {h: 1, a: 2, f: 5, s: 2, g: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6537025*z**2 + 1318*z + 1507 wrt z.\nAnswer: -13074050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.95 - -9.857. Let y = u - 1.73. Let w = y + -0.17. What is w rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12257b (base 12) to base 2\nAnswer: -1000111111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1657573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 10*q**2 + 9*q + 1. Let p = 20 - 9. Let n be u(p). Let a = -21 - n. Solve -2*k - 5 = 5*c, -5*k + 6*c - 2*c + 4 = a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1430 = 232. Let x = -305 + h. What is the greatest common divisor of x and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 40, -18, 3 in decreasing order.\nAnswer: 40, 3, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 801692.4 and -210.\nAnswer: 801482.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 531356 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1857 and -20798764?\nAnswer: 20798764.1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126403?\nAnswer: 41, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g. Suppose 0 = 4*i + 3 + 1. Put g, i, 4 in increasing order.\nAnswer: i, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8370.5 + -8371. Which is the closest to 0.2? (a) -0.2 (b) h (c) -0.06 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 5*b**2 + 3*b**2)*(2*b - 4*b - 2*b) + 3*b**3 - b**3 + 2*b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyvz when four letters picked without replacement from {v: 3, y: 3, k: 1, z: 2, d: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 126*k - 18. Let o(j) = 36*j - 5. Determine 18*o(i) - 5*q(i).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 5 + 5 + (-g + 0*g + 0*g)*(-7 + 4 + 4) + g + 0*g + 0*g as f + q*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -929, -1508, -2097, -2702, -3329, -3984?\nAnswer: -4673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -37*f. Let l(g) = -g + 2. Let n(y) = 4*y - 9. Let w(p) = -18*l(p) - 4*n(p). Give m(w(t)).\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 735953 - 11?\nAnswer: 735942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.947 + 44. Let k = -1521044 - -1521043.94700066. Let w = a + k. Round w to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20336 and 123.\nAnswer: 61008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 9, -8*t + 3*t = -c + 35. What is the smallest common multiple of c and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*y + 22, -3*y = 3*d - 12 - 15. Suppose -u = -37 - 14. What is the lowest common multiple of u and y?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792057209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 698 (b) 3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 32135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -6 - 6. Let v be ((-58846)\/84)\/(c\/(-90)). Let g = v + 10500. What is the common denominator of -7\/16 and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 437*g + 2. Let q(k) = 503*k + 3. Calculate -6*p(y) + 5*q(y).\nAnswer: -107*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:15 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/(-3)))\/((-393)\/(-1048))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thththttttthtt. What is prob of sequence thh?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f + 108 = 53*f. Solve t + f = -11*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 542, 1526, 2982, 4904, 7286, 10122, 13406?\nAnswer: 17132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 5*x + 2*x)*(1058*x + 46*x**4 - 1058*x + (x**3 + 4*x**3 - 4*x**3)*(1 - 1 - x) - x**2 - 2*x**4 + x**2 + 0*x**4 + 2*x**4 + 0*x**4).\nAnswer: -45*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 5 - 63*y**2 - 51*y**3 - 33*y + 0 - 15*y**4.\nAnswer: -3*(y + 1)**3*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 9*j**2 + 3*j + 4. Let q(y) = y**3 - 8*y**2 + 2*y + 4. Let h(p) = -3*q(p) + 2*w(p). What is h(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x + 14 - 6 - 4 + 3*x - 9 to the form l + v*x and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -6)*(-2)\/(-10)*55. Suppose 68 = -a + i. Let b be ((-22)\/(-5))\/((-1 - a)\/5). What is the highest common divisor of 154 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12334113 + -4?\nAnswer: 12334104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 6032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2166*b**3 + 2018*b**3 - 4363*b**3 + (-2*b - 2*b**2 + 2*b)*(0 + 2*b + 0) + 3*b**2 - 3*b**2 - 2*b**3 - 2*b + 2*b**3 + 2*b)*(-4 + 4 + 4*b**2).\nAnswer: -732*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-5)\/20*1\/6\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4613754 (base 8) to base 9.\nAnswer: -2316422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.202, 0.4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -665, -1329, -1991, -2651, -3309, -3965, -4619?\nAnswer: -5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 19 - (5 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2678247*i**2*j + 10792624*i*j wrt i?\nAnswer: 5356494*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165750 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -77?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8710.58*-0.32.\nAnswer: 2787.3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 9) to base 4\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 2 (c) 0.4 (d) 0 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/9 - (20\/18)\/(-5). What are the prime factors of (a\/4)\/((-1)\/(-576)*9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 - -165.1142574.\nAnswer: 164.8742574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 5. Let p = -64 - -66. Which is the second smallest value? (a) 1 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32382159.98 - -47\nAnswer: -32382112.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16147938?\nAnswer: 2, 3, 67, 40169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-18))\/(25\/100)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**5\/5 - 2*q**3\/3 - 3*q + 1. Let h(r) be the first derivative of i(r). What is the second derivative of h(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/13)\/(t\/t**11) assuming t is positive.\nAnswer: t**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, f: 1, g: 1}. Give prob of sequence gfll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2*g**2 - 2. Suppose 0 = 5*b - 5, 2*u + b + 1 = u. Let o(q) = -q**3 + 3*q**2 + 3. Give u*o(p) - 3*d(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, 21, 51, 101, 177, 285, 431?\n\"Answer: d**3 + d**2 + 6*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*f**2 + 131?\nAnswer: -26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*q - 144*q - 258*q.\nAnswer: -353*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:45 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**5\/90 + j**4\/36 + 16*j**2 + 62. Let s(z) be the second derivative of o(z). Factor s(g).\nAnswer: -2*g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 + -171. Suppose r*c - 2*k = 2634, -k = 5*c + 1483 - 4111. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/4)\/((10 + -2)\/304). Let m = s + -645. Calculate the smallest common multiple of 12 and m.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 2*r + 1. Suppose 0 = -4*u - 10 - 2. Calculate the remainder when q(u) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2388 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 516003 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m + 16 = -84*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -865 - -879. Solve -18*s + n = -22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1214 - -1199. Which is bigger: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*z + 4. Suppose -z*n = -5*o - 17, 5*n - 2*o - 3 - 38 = 0. Suppose 2*j - 9 - n = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529195.\nAnswer: 5, 109, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -13. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12))\/((-4)\/8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4552*d - 19. Let x(g) = g - 59. Give x(l(o)).\nAnswer: 4552*o - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7220 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -14, 48, 332, 952, 2022, 3656, 5968?\nAnswer: 9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 8:26 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11) + sqrt(22)\/sqrt(2)*2 + sqrt(11))*3.\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 12*d - 99. Determine q(7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 16 = -156. Suppose -5*t - 6 = -26. Suppose -2*k + 44 = -0*w + t*w, 0 = -3*k + 6. What is the smallest common multiple of h and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4\/7 - 3460*p**3\/7 - 363936*p**2\/7 + 189945792*p\/7 + 3118390272\/7 = 0. Calculate p.\nAnswer: -516, -16, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let t(f) = -98*f. Let p be t(0). Let d(q) be the third derivative of 0*q - 14*q**2 + p*q**4 + 1\/20*q**5 + 0*q**3 + 0. Calculate d(r(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -6\/5*v**2 - 1\/5*v**3 + 5 + 0*v. Factor x(p).\nAnswer: -3*p*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 44, 12, 6 in descending order.\nAnswer: 44, 12, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**2 + 84*v. Let h(f) = -48*f. Give h(k(r)).\nAnswer: -432*r**2 - 4032*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d - 109*d - 71*d as n + s*d and give s.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901299736?\nAnswer: 2, 1289, 87403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 19*p**2 - 4*p + 4. Does 24 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*sqrt(76) + 4)**2*-3.\nAnswer: -240*sqrt(19) + 5748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221831825\/500247 - -8\/55583. Let o = 465 + -908. Let i = x - o. What is the nearest to -2 in i, 0.5, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6073.629ml?\nAnswer: 6.073629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11624 - 425?\nAnswer: 11166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k**2 + 382194*k - 1352520867 = 0.\nAnswer: 21233\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u + 107. Let t be j(-4). Suppose 82*k = t*k. Solve 3*h - 4*q + 0 + 5 = k, -1 = 3*h - 2*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.6 * -14.3647.\nAnswer: -66.07762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(153) - (sqrt(153) - sqrt(153)*2))*-4)\/(-1*sqrt(144) + sqrt(9) - sqrt(9)) - ((2*sqrt(1700)*-4)**2 - ((2*sqrt(102))\/sqrt(6) + 1)).\nAnswer: -108799 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.4 + -4. Let v = -5.6 - q. Let j(r) = r**3 - 6*r**2 - 6*r - 6. Let x be j(7). Which is the second smallest value? (a) x (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498 and 6612.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80 + 280d?\nAnswer: 276d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11018, 41133, 182686, 458341, 912798, 1590757, 2536918, 3795981?\nAnswer: 5412646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 21, -28*n + 4*x = -34*n + 40 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1 + 1 - -2*sqrt(147).\nAnswer: 2 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*t + 8, -y = -37*t + 33*t + 19. Solve -t*p = -a - 10, -p + 6 = -15*a + 16*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**2. Let o = 36 + -26. Let j(z) = o*z**2 + 102 - 102. Give j(g(v)).\nAnswer: 490*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5, 0 = -4*c + 4*i + i - 39. Let n(o) = o**3 - o**2 + 7*o - 4. Let w(j) = -3*j**3 + 3*j**2 - 20*j + 11. What is c*n(q) - 4*w(q)?\nAnswer: q**3 - q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1905 and 948055.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 41\/3)\/((-3)\/(-27)). Let c = 100 - t. Solve -7*u = 3*s - 4*u + 3, -c = -4*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.009 - -2. Let f = p - 0.991. Which is the smallest value? (a) f (b) -1\/23 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 408, 806, 1204, 1602?\n\"Answer: 398*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -276*c. Let r(q) = q. Determine -k(w) - 230*r(w).\nAnswer: 46*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + n + 10. Let x(s) = s**2 + 5*s - 6. Let w be x(-6). List the prime factors of l(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Solve r + u = 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 0.2 (c) -5 (d) 253 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7602, -30707, -69198, -123075?\nAnswer: -192338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8603.632 hours in milliseconds?\nAnswer: 30973075200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 792 divided by -198\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -3. Let p be (8 - 5)\/(3\/(-2)). What is the closest to 1\/3 in 2\/9, p, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17\/2, -5, 3, 1181, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1280) - (sqrt(1280) - (sqrt(1280) + 3)))**2 - sqrt(1280))*1 - ((-1*sqrt(200))\/sqrt(10) - -1*2*sqrt(20)))*3.\nAnswer: 234*sqrt(5) + 3867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c = -23*c + 126*c - 60 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -1, 750, -4, 0.548, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -177*y**2 + 406*y. Let f(i) = 184*i**2 - 405*i. Let n(k) = 2*c(k) + 3*f(k). What is the second derivative of n(l) wrt l?\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3. Let x(a) = 9*a**3 - 7*a. Let b be (1\/1)\/(8\/24). Let d(n) = -n**3 + n. Let y(c) = b*x(c) + 21*d(c). Determine 2*y(l) - 5*z(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4000))\/(5*sqrt(72) - sqrt(8)).\nAnswer: -5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0 - -3) + 0 + 5. Suppose 0 = -q*y - 2*y + 1176. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 10\/6*(7 - -47)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -0.17. Sort 0, 0.1, w in descending order.\nAnswer: 0.1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16411 and -6.221?\nAnswer: -1.02092831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90.98 - -91. What is the smallest value in g, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1963245478 by -3.\nAnswer: -1963245478\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -66, -69, -74, -81?\n\"Answer: -b**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:30 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 5*q**4\/4 + 25*q**3\/6 - 17*q - 13. Let o(i) be the first derivative of y(i). Find the second derivative of o(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4705, 9412, 14119?\n\"Answer: 4707*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 3, v: 1, e: 1, s: 1, q: 3}. Give prob of picking 1 v, 1 y, 1 h, and 1 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136574114 to the nearest integer?\nAnswer: 11686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2088*c = -2094*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 less than or equal to 2009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*s**2 + 100*s + 5.\nAnswer: 5*(10*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*b + 7 = -0*b, -f - 1 = 3*b. Suppose 3*o - 2*z - 31 - 21 = 0, 70 = f*o + 5*z. Suppose d - o = -d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16bb62 (base 16) to base 5.\nAnswer: 340133022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6 + 2 + -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - (2 + -2)\/(-5). Suppose a = 2*w + 3*z, -4*z - 48 = -3*w - z. Find b such that 3*b**2 + 428*b - w - 428*b = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11125816 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**3\/3 + 2*a - 29. Let c(n) = -2*n + 3. Let v(w) = w**2 + w. Let d(p) = -c(p) - 2*v(p). Calculate -2*d(t) - 3*q(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 8*g + 29. Let d(w) = -8*w - 14. Calculate the least common multiple of 10 and d(g).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1150170*z**4 + 388028*z wrt z?\nAnswer: 13802040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + ((-2 + sqrt(1700))*-5 - sqrt(1700) - (sqrt(1700)*1 + 0))**2 + 2)*-6.\nAnswer: -500442 + 8400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 11599\/10153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-k**2 - 6*k**2 + 6*k**2)*(-8*k**2 + 24*k**2 - 5*k**2) in the form p*k + b*k**4 + r + q*k**2 + t*k**3 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.94435, -2508 in increasing order.\nAnswer: -2508, 0.94435, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/5 (b) 415 (c) 4 (d) 267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12634323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 46. What is the greatest common factor of k and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 + 146. Suppose -b*o + 5*d = d - 4, 5*o - 22 = -2*d. What is the tens digit of ((-63)\/28)\/(-9) - (-151)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 116. Let g be o(-26). Suppose 443 = g*f - 61. Which is greater: f or 31?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821129359?\nAnswer: 17, 48301727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 258*0.5\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 5*x + 5. Let a be g(5). Suppose 12 = a*s + 4*u - 19, -3*s - 3*u = -21. Find the third derivative of -h**2 - h**3 + 0*h**3 + 2*h**s wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3 - 4 - 4 + 5*h - 15 + 33. What is s(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w - 14. Let m be 2*-3*21\/w. Suppose -m*x = -6*x - 123. Find the common denominator of -109\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = 3*i - 245. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.39 + -61.\nAnswer: -59.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 476340.2 to the nearest 100.\nAnswer: 476300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 598458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226165991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 233, 290, 347, 404, 461?\n\"Answer: 57*k + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 93 = -8*p - 11, 5*p - 64 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 169733*v - 1188119. Calculate j(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 - x**5 + 56*x - 56*x)*(-1 + 3 - 3)*(-3 + 4 - 2).\nAnswer: -x**5 - 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010100100100010100 + 11?\nAnswer: -11000010100100100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*j**2 + 111*j**2 - 223*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, 0, 70?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7477, -0.3, -71, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + h + 18 = 4*t, -3*t + h + 10 = 0. Let p(v) = -v - 4. Let b be p(-4). Solve -t*q + b*q = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 29*s - 91. What is g(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 13*z**2 + 5*z + 7*z + 13*z**2.\nAnswer: -z**3 + 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 3547050?\nAnswer: 3547050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35782517 by 8.\nAnswer: 35782517\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -148, -255, -406, -601?\n\"Answer: -22*b**2 - 41*b - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121010231 (base 4) in base 16?\nAnswer: -1912d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 226*r**2 - 86453*r - 1275. Give y(428).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 30, -0.1, 0.156?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 158*r - 15 = -156*r - 1, c - 11 = -5*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*r + 821404, 3*r - 4*x + 821420 = x. What is r rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k = -87. Let h = k - -34. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-75))\/(((-84)\/(-7))\/(-240))*(-198)\/44\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (9 + (-15 - (-14 - (-7 - -3))))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102, -88, -66, -36, 2, 48, 102?\n\"Answer: 4*u**2 + 2*u - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.48 + -3.92. Let c = -4 - p. What is the third smallest value in 5\/2, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*(0 - (-16)\/(-20)). What is the remainder when 119 is divided by (q\/(-15))\/(2\/75)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9) - 5 - (-15 - -11).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfffzffjzjfz. Give prob of sequence fzz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 561196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:22 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 18. Calculate b(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 6:44 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5794 - -1212. Suppose 5*b - 8092 = 3*g + 671, -2*g = 4*b - f. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-81)*702\/(-6). Let p be (-11)\/10 + 12\/8. Is y bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s**(1\/11)\/s)**(19\/2) assuming s is positive.\nAnswer: s**(-931\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260) - (3*sqrt(260) + sqrt(260))*6)\/(sqrt(20)\/(sqrt(4)*3))*-4.\nAnswer: 552*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 10 + 1371*a**2 - 1292*a**2 + 69*a to p + o*a + s*a**2 and give o.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + w - 1. Let j(a) = 3*a**2 - 10*a + 11. Let n(m) = j(m) + 2*q(m). Let v be n(7). Solve -h = h + v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18 - -1 - 2\/2. Let a be (-172)\/14 + 14\/49. Let v be 4 - (8\/28 + a\/(-7)). Solve -v*y - f = -4*l, 0*l - 3*l = y - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 38 = -3*s, -64*s - 10 = -114*s + 49*s - u for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**3 + 663*a**2 - 362*a**2 + 53*a**3 - 301*a**2.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 15*z**2 - 17*z - 13. Let x be p(-16). Let l = 12 + -18. Let d be (-7 + 1)*2\/l. Solve 4*o = 3*q + d, -x - 11 = 4*o + 5*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1*sqrt(136) - sqrt(136)) + sqrt(136)))\/(sqrt(80)\/(sqrt(30)\/sqrt(3))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6465, 51681, 174429, 413475, 807585, 1395525?\nAnswer: 2216061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (2 + -1 - 1). Suppose -5*v + c = -29. Suppose 4*p - v = 2. Solve -3*t + 1 = -4*d + p*t, 2*d + 3*t = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 148200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h = 105*h - 60*h - 23021563. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415509.\nAnswer: 3, 43, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12*4\/(-6)*578\/6647?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 42 + 198. Let m = j + 306. Suppose 18*p = 15*p + m. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183771 and 84.\nAnswer: 735084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 + 12\/15. Sort t, 1\/3, 5 in ascending order.\nAnswer: 1\/3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x + 4. Let j(b) = -17*b + 11. Let g(h) = 4*j(h) - 11*k(h). Let s(c) = 6*c**2. What is g(s(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -125, -164, -177, -158, -101?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2567653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from vvvvdvshhdssssod.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 450\/7?\nAnswer: 450\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72, -294, -658, -1164?\n\"Answer: -71*h**2 - 9*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 + 33*s - 179. Let r be j(4). Suppose 2*w - 1 - 21 = -4*k, 0 = 3*k - 15. What is the highest common divisor of w and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559553141 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:36 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r - 719 = 6*r + 288 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254.9884 - -0.0116. Let w = y - 252. Which is smaller: -11 or w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -17. Suppose -v - 10 = 4*g, -14 = -i*v + 2*v + 2*g. Find the first derivative of 3*o**v + 17*o + 2 - 17*o wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4623*r + 19840*r - 23965 - 52120 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-47)\/(30550\/(-20900))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(72)*6 + sqrt(18)))\/(5*sqrt(18)\/((sqrt(6)\/sqrt(2) - sqrt(3)) + sqrt(3))) + -5)*1.\nAnswer: -52*sqrt(3)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -9, -6, -3, 10, -0.638 in ascending order.\nAnswer: -9, -6, -3, -0.638, -1\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1934 (b) 1\/3 (c) 2 (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 - 5*m**2 + 3*m + 1. Let p be q(-4). Let v = -306 - p. Is v at least -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22752, 45425, 68098, 90771, 113444, 136117?\n\"Answer: 22673*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lokkkljllo. Give prob of sequence ojko.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 2*p - 6*w - 10233, -2*w - 20526 = -4*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Let v(x) = -7*x - 1. Let u(j) be the third derivative of j**4\/3 + j**3\/6 + 50*j**2. Let d be 0 + (-1)\/(1\/(-6)). Determine d*v(p) + h*u(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:25 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430356685 divided by -5.\nAnswer: 86071337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/11, -17 in ascending order.\nAnswer: -17, -0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-57)\/4)\/((-15)\/40). Let i = v + -23. Let a = -8 + i. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -544207.\nAnswer: 3\/544207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1012661 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*y - 70782 = -314*y + 3*s, -2*s - 28316 = -2*y. What are the prime factors of y?\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-14))\/((-3)\/21). Let x be 4\/u - (-35)\/90. Is 2\/7 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.359898mg in micrograms?\nAnswer: 4359.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - b - 3, 21*s - 15 = 16*s + 2*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 27 = -127. Suppose -z*a = -22*a - 9. Suppose 15 = a*q + 6. Solve 3*i - 2*j - 3*j = 2, -3*i - 6 = q*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-15))\/((-2)\/4) - (-24)\/(-17280)*-714\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -8)\/((-2)\/(-2)). Let l be (250\/(-15))\/((-1)\/3). Suppose -a*k = -2*k - l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 328692362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 2*g, -4*y + 3*g + 21 = 6. Let a = -81 - -79. Let n be (6\/a)\/(-36*(-1)\/8). Put -0.5, y, n in decreasing order.\nAnswer: y, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3108035, 3108041, 3108053, 3108071, 3108095?\n\"Answer: 3*u**2 - 3*u + 3108035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.26 - -32.84. Which is greater: -9\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-833)\/42 - -18)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27055*-565\nAnswer: -15286075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 8. Let s be ((-20)\/6)\/((-4)\/6). Suppose -f + 6 = q, 4 - 9 = -s*q. Let w be x(f). Is w bigger than 12\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715258 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -568*j**3 + 3*j**2 - 1. Let p be m(-1). Let s = p + -388. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176.8 + 177. What is the third smallest value in 2, 12, d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Suppose 3*i - 3*s = -0*s + 27, 0 = -2*s - 8. Suppose -12 = -i*v - 2. Let y(j) = -31*j**2 - 24*j**2 + 84*j**v - 32*j**2. Determine t(y(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 9. Suppose 3*a + 15 = 33. Let i be -2*20\/16*a. Calculate v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -54?\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2 - p - p**2 + 22*p**2 + 27*p**2 + 0. Suppose -r + 2*q + 5 = -2*r, 2 = 4*r - 3*q. What is the tens digit of z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - d - 4. Let a be t(3). Find the second derivative of l**3 + 1 + 2*l - 1 - a*l**3 wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84624 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (42\/64)\/((13674\/(-344))\/(-53))\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3388548 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149128505 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4)*(3 - 1). Let t be (-84)\/5 + (-5)\/25. Let s = f - t. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*f - 109, 0 = 5*f + 2*q + 6 - 125. Let l be 7*1 - 0\/(-4). Solve 0 = -l*u + 2*u + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19348*i**4 - 122267*i**2 + 1 wrt i?\nAnswer: -464352*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43870 by -2.\nAnswer: 21935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 801342877 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.22415327 to 0 dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5286\/12*4\/(-2)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 18\/211, -3\/5, -61, 0.5?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -205504\/347 at most -591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147166087?\nAnswer: 147166087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-5)*(-10)\/158. Let v = 3311\/366 - 1754489\/202398. Let l = c + v. What is the closest to 1 in l, 5, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8336 (base 14) to base 11.\nAnswer: 15a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8545, 8668, 9005, 9664, 10753, 12380?\nAnswer: 14653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 126 - 30. Suppose 2*i - i - t = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**2 - 111*f + 72.\nAnswer: -3*(f + 8)*(5*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 18*a**2 + 23*a - 7. Let u(n) = 9*n**2 + 13*n - 4. Let v(g) = -4*p(g) + 7*u(g). Calculate v(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26145474 is divided by 603.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 - 111664\nAnswer: -111664.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14236*p - 45535 + 192652 + 168948 = -167959 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*g**6 - 16*g**3 - 3351*g**2?\nAnswer: -15120*g**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 19320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2113401 + 240?\nAnswer: -2113111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:42 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 483513971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22 + 6 + 1*-3. Let a = j - -25. Let v be a + (-2 + -1 - 0). Solve 0 = 3*l - 4*y - 16 - 10, -y = -v*l + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1075 and -62\/426775.\nAnswer: 426775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.2. Let p = -1802 - -1804. Sort 0, x, -0.39, p in decreasing order.\nAnswer: p, x, 0, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -806, -8, -13\/55, 0.1.\nAnswer: -806, -8, -13\/55, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 91*d - 265. Let r(t) = t**2 - 31*t + 88. Let v(u) = 4*b(u) + 11*r(u). Let z be v(18). Is z bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1432, 1436, 1434, 1420, 1388?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 19*f + 31. Let l be u(17). Let v be 0\/(l\/(-6) - 14\/4). Solve -3*m + 5 - 2 = v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/(-10))\/((-1)\/10). Let y be j\/(-8)*2\/(-3). Find the second derivative of 25*v**3 + y*v + 4*v**4 - 25*v**3 - v**4 wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 7*f + 1. Let b(i) = i**2 - 3*i. Let n(t) = 5*b(t) + 3*k(t). What is the units digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.192 times -69026\nAnswer: 82278.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20790, 20760, 20730, 20700, 20670?\n\"Answer: -30*k + 20820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112448 divided by 224?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237385911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015939932?\nAnswer: 2, 43, 11720581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1656796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 10*o**2 - 7*o. Let v(d) = -d**2 - 15*d - 25. What is the remainder when t(8) is divided by v(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from {z: 6, g: 12}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k = 0. Let q be (-3)\/3*(-2 + k). Suppose q*h + 18 = 5*h. Is 6 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e511b (base 16) in base 10?\nAnswer: -3035419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 20. Let t(u) = 15*u + 16. Suppose 2*c = -10, -3*k + 24 = -7*k - 4*c. Let r be t(k). Calculate the greatest common divisor of r and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185\/264 - 3\/88. What is the closest to -7 in i, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080756 smaller than 1080727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2. Suppose -803*j + 4 = -807*j. Let p(r) = 25*r**2. Calculate j*p(y) - 15*i(y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4922.348 weeks?\nAnswer: 49617267.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51907732.\nAnswer: 2, 17, 763349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3959888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 990 - 19771\/20. Calculate the common denominator of -107\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + 2132543?\nAnswer: 2132460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4455)\/(-22))\/(-45)*(-19)\/(-2280)?\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = -0*d. Let u(g) = g**2 + 8. What are the prime factors of u(d)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 70*b - 356. Calculate x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45133457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -335.614 + 44920902?\nAnswer: 44920566.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 + 8.1. Which is the nearest to -0.5? (a) 4 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7211, 14384, 21557?\n\"Answer: 7173*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -19.6. Let z = 2.294 - y. Let c = 0.1796 + z. Round c to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 254 + -108. What is the second derivative of a**3 - p + 3*a + 146 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**2 - 3*y + 1\/3*y**3 + 0 - 3\/4*y**4 + 7\/20*y**5. Factor x(t).\nAnswer: t*(t - 1)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191 or 8260?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31361\/28 - 4479\/4. Let k = 1.96 - -0.04. What is the nearest to m in 1\/2, 1\/12, k, -3\/4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*n**6 - 17*n**3 + 1808*n**2 - n + 1.\nAnswer: -2280*n**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236610656 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 2. Let r be t(-2). Let i(l) = l**2 - 9*l - 11. Let d be i(r). What is the units digit of (-2 - -5)*d + 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -25*q**3 + q**2 - 1. Suppose 2*c + 16 = 4. Let i(k) = -k**3 - 6*k**2 - k + 3. Calculate the remainder when m(-1) is divided by i(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 123*b**2 - 552*b - 432.\nAnswer: -3*(b + 1)*(b + 4)*(b + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76041027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-4 - -11) + -4 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*n + 25 = -0, n = 2*c + 3. Suppose -4*h + 7 = -c. Solve 4*u + 14 = -x, x - h*u + 6 = -4*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7352365 divided by 4?\nAnswer: 7352365\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5755, 1225, 3 in decreasing order.\nAnswer: 1225, 5, 3, -5755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-28))\/3)\/((-82)\/287).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 + g**4 + g**3 + 5*g - 5*g + 4*g**2 - 4*g**2 - 2*g to m + u*g**4 + h*g**2 + x*g + v*g**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12635 - 5762. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1781 + 0.197. Round q to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(-4 - 2 + 5)*(-2 - 3 + 4 + (0 + 0 + 1)*(0 - 5 + 3) + 4 - 4 + 1)*(-w + 9 - 9) to the form u + b*w and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -34 (c) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/17))**(4\/17)*h**(-3\/7)*h**(4\/17) assuming h is positive.\nAnswer: h**(29\/2023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -452?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/3 + 77*r**2\/3 + 2194*r - 62832 = 0.\nAnswer: -66, 24, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.78 + -53.5. Let r = p + 14.8482. Round r to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99977.92um to millimeters.\nAnswer: 99.97792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25238.92 millennia in decades?\nAnswer: 2523892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -931*q + 1104. What is the thousands digit of l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3096 - 2988. What is the lowest common multiple of 90 and c?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c + 26*c + 570 = 20*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -347 + 347.492. Let p = o + -0.392. Which is smaller: p or 4\/33?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5*y + 158*l**3*y + 4*l**3 - 4*l**2*y - 5*l*y - 4*y + 14 wrt l.\nAnswer: -60*l**2*y + 948*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 11*x - 14. Let t(z) = 5*z**2 + 55*z - 71. Let y(u) = -11*j(u) + 2*t(u). Suppose 43*d - 46*d - 36 = 0. What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from hzi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/726, -27, -0.5, 4, -3, 3 in ascending order.\nAnswer: -27, -3, -0.5, 1\/726, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665 less than -13757363?\nAnswer: -13759028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v - 2. Let x(w) = -w**3 + 6*w**2 + w - 3. Let f be x(v). Let y = -104141 + 104137. Sort y, 9, 5, f in decreasing order.\nAnswer: 9, 5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1644640480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b + 3. What are the prime factors of n(-4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/(h\/(h*h**(-3\/2)))*(h**(1\/4))**(1\/60)*(h\/(h\/h**3*h))\/(h\/(h**(-2)\/h*h))*(h**(-2\/15)*h*h)\/(h*h*h\/h**(-1\/8)*h) assuming h is positive.\nAnswer: h**(-661\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from gcd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-570)\/(-8))\/(-1) + (954\/(-24) - -42)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilltlttlltlltlp. Give prob of picking 1 i and 1 t.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.05, -3, -5, 0, -0.036?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -10*c**5 - c**4\/12 - c**3\/3 + 3*c**2. Let r be l(-1). What is r rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 + 415 = 4*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 11. Suppose i*u + 5*f - 5 = 0, -2*u = u - 2*f - 13. Suppose 2*c + u*c = 205. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -880\/3*s - 80*s**2 + 0 - 5\/3*s**3.\nAnswer: -5*s*(s + 4)*(s + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.8 + -1.8. Let c = w - 5. Let o = 2 + -2.5. What is the second smallest value in -5, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*m + 33 = -72, o - 5*m = 7. Let u be 7 - 1 - o\/(-9). Suppose -2*p + 142 = -u*w, 5*p - 3*w = w + 343. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7749 and 567?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2. Let c(s) = 3*s**2 - 4*s**2 - s**2. Determine f(c(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -382 - -747\/2. Calculate the common denominator of 3\/(-3) - 76\/(-22) and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + i**3)*(2 + 3*i - 2) + i**2 - i**2 - 2*i**4 - 22*i**2 - 25*i**4 + 23*i**4 + 4*i**2.\nAnswer: -i**4 - 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -1044, -2326, -4100, -6366, -9124?\nAnswer: -12374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l - 2*l - 2*l + (9 - 4 - 17)*(-2*l + 32*l - 5*l) as k + s*l and give s.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m + 223 - 223 - 211*m**2 + 61*m.\nAnswer: -211*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -28*o + 240. What is u(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, 1 s, and 1 a when four letters picked without replacement from awwdsnwwwwdwya.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12526699.\nAnswer: 281, 44579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/26 - 59\/104. Let f = -20 + 101\/5. Let k = -22 + 17. Which is the biggest value? (a) f (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32603, -33235, -33853, -34451, -35023, -35563, -36065, -36523?\nAnswer: -36931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caac when four letters picked without replacement from {a: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 12528 (c) -64 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 36887.01045 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(2\/3)*h)**37*(h**(-2\/11))**(8\/3) assuming h is positive.\nAnswer: h**(1487\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2099 in 2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25*-0.449\nAnswer: 11.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1983145 divided by 5.\nAnswer: 396629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 17004?\nAnswer: 17002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:51 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 times 3363?\nAnswer: -1624329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8.8, 83\/5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*d - 36*d + 432*d = 33014 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7019262 (b) 0.3 (c) 2\/17 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 385, 0, 11, 3, 41 in ascending order.\nAnswer: 0, 2, 3, 4, 11, 41, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*b - 38*b + 153*b + 255*b.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 345\/36*32\/(8960\/(-42))*(-12)\/(-3)\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9. Let t = f + 12. What is the highest common factor of t and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126214 and 1744048?\nAnswer: 19184528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 10 = -5*v + 10, 0 = 2*b - 8. Suppose 0 = 3*n - a - 4*a + 13, -5*n + 4*a = 0. What is the least common multiple of (1 + -4)*n\/(-6) and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*g + 28. Suppose 1593 = g*p + 153. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**3 + 3*r. Suppose -2*u - 6 = -u. Let a(m) = 13*m**3 + 6*m. Calculate u*a(d) + 11*v(d).\nAnswer: -d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -524*d - 137249. What is s(-262)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(54)\/sqrt(36)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 23. Let t be b(-19). Let m(o) = -o**2 + 18. Let g be m(t). Suppose -3*n - 158 = g*d, 2*n - 3*d = -172 + 45. Is n smaller than -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -10 + 8. Find t, given that 0 + 4\/9*t**j - 2\/9*t**3 - 2\/9*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/311 and -53\/1555.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0.15872 in descending order.\nAnswer: 0.15872, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2 - s - 2. What is the least common multiple of 6 and d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 5*m**2 + 4*m**2 - 2 - 1 wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 24 = 3*h, 5*z - 31 = 2*h. Let j be 2 - (2 + 2 + -5). What is the second derivative of -o**z - o + j*o - o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -578 - -645.4. Let u = a + -13.4. Let d = 59.2 - u. What is d rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1980 and 66330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9118, 8798, 8492, 8200, 7922?\n\"Answer: 7*p**2 - 341*p + 9452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235624 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2028802 and -0.5.\nAnswer: 2028801.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060583447 to 6 dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/((-1)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/26016 and 89\/11924.\nAnswer: 286176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -12\/229, 3 in increasing order.\nAnswer: -0.5, -12\/229, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 v when four letters picked without replacement from {v: 3, o: 4, j: 2, u: 1, r: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69850281 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752804.\nAnswer: 2, 3, 181, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4148 - 1*((-4)\/18 + (-77)\/99)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/399 and 64\/291.\nAnswer: 38703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53 and 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q. Let a(w) = -136*w - 774500. Calculate a(t(l)).\nAnswer: -272*l - 774500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31\/375 - 7549\/1500. Find the common denominator of j and -23\/1156.\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/(29\/(-87)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 2, b: 1, p: 1}. Give prob of picking 1 v, 1 b, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*l + 42. Suppose 4*h = -2*c - 0*h + 20, 2*c - l = -2*h. Suppose 3*s - 148 = -2*f, 0 = -2*s - c*s - 5*f + 188. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 523*u + 588*u - 28140 - 19633 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185956643.\nAnswer: 3, 3461, 114221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3116445606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:17 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*l + 12 = f + 621*l, 0 = 2*f + 4*l + 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 24*g**2 - 55*g - 1312. Determine v(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -4\/7 (c) 0.907 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z + 11*z + 12*z + 288*z**3 - 56*z - 293*z**3 + 16*z.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -20*o + 22 + 11\/2*o**2. What is the derivative of a(v) wrt v?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 14 - (-3834 + 3780)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t + 2*t)*(1 + 6 + 3) + (25*t**2 + 20*t**2 - 14*t**2)*(-t + 0*t + 2*t) - 5*t**3 + 4*t**3 + 5*t**3.\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10 - ((-44)\/(-165))\/(((-4)\/(-2))\/72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**10\/37800 - z**6\/180 - z**5\/20 + 3*z**2. Let m(x) be the third derivative of t(x). What is the derivative of m(n) wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let g = -0.48 + -0.02. Let u = -26 + 184\/7. Which is the nearest to x? (a) g (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 q when four letters picked without replacement from qqnqqqqqnqnqnnqqqq.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 1, g: 1, e: 4}. Give prob of sequence gzz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -13736499?\nAnswer: 13736500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -359 times -122805\nAnswer: 44086995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -47 (b) -23 (c) 4\/3 (d) 15 (e) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**2 - 2*m - 1. Let h be -2 - ((3 - 27) + -3). Suppose -5*n = -h, 3*d + 4*n - 11 - 15 = 0. Is i(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1548 plus -34526394?\nAnswer: -34526393.8452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -8328.4941 and 0.2.\nAnswer: -8328.2941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -356, -737, -1154, -1625, -2168, -2801?\n\"Answer: -3*v**3 - 360*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9675, 9538, 9377, 9180, 8935?\nAnswer: 8630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 31 = -21 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*x - 70 = -821*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-3 - (4 + -8)) + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 + 3*i + 5. Let x(p) = -1190*p**2. Calculate d(x(r)).\nAnswer: -7080500*r**4 - 3570*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -325340.845 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - 1*sqrt(143)*1))\/(-1*sqrt(44)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11002 is divided by 501?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 121010213?\nAnswer: -121010243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/10*(-1)\/5*(1361024\/310)\/98.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-8))\/((-30)\/16). Let v = 2.1 - 2. Sort v, n, 3.\nAnswer: v, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2858895*n**5 - 1995232*n**2.\nAnswer: 171533700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 z when four letters picked without replacement from {h: 12, z: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 27. Suppose 5*a + 65 = -4*w, w + 19 = -6*a + 2*a. Let g be 1 + 2\/2 - w. Does 17 divide y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 2\/7, 2, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/9 - 62*a**3\/9 + 131*a**2\/9 + 64*a\/3.\nAnswer: -a*(a - 3)*(a + 1)*(a + 64)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/14 + -23\/56. Calculate the common denominator of w and (-1998)\/84*(-2)\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 0.5 (b) -0.5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-12)*-2*(-8272)\/22. Let z = k + 2441\/13. Is 0.4 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 1231110?\nAnswer: 1231110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:56 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47716 divided by -4\nAnswer: 11929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 202 = b - 0*b, j + b = -103. List the prime factors of (-22)\/j - (-25)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 10. Let s be h(3). Let q(z) = 0 - 10 + s*z - 6 + 6*z. Calculate the smallest common multiple of 12 and q(10).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-34)*s*s)\/s**(-31) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 6. Let u(q) be the second derivative of -q**4\/12 - 5*q**3\/6 + 3*q**2 - 2*q. Give u(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 140.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3904293.\nAnswer: 3, 167, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 5. Let w(d) = 29*d - 21. Let t(y) = 9*j(y) - 2*w(y). Let v = -2 - -4. Suppose 0 = -v*u - 3*u + 10. Determine t(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18285, 37243, 56253, 75315, 94429, 113595, 132813?\nAnswer: 152083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 131743 (c) 1.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - d**3 - 7*d**2 - 4*d + 4 - 4*d. Let y be u(-6). Suppose -175 = -y*v + o, -3*v + 145 = 3*o - o. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -847, -1981, -2, -5.\nAnswer: -1981, -847, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10011111011101?\nAnswer: -10011111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -9, -4, 5 in decreasing order.\nAnswer: 11, 5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 51 + 75 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2*f - f)*(12 - 11 - 7) as t*f + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:28 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 2*v**2 + 8*v**2 - 4*v**2 + 3*v**2 + 0*v**2 + (3*v - 6*v + 2*v)*(29*v - 28 + 28) + 4 - 4 - 2*v**2.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109.39 + -110. Round v to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28884.\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3625 to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55911, 111744, 167579, 223416?\n\"Answer: t**2 + 55830*t + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - k + 1. Let y(c) = -2*c - 2 - 1 + 1 + 4*c**2 - 1. Let f(h) = -3*a(h) - y(h). What is the second derivative of f(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 30 = -10*l. Let b be 1\/l*(-189)\/(-45)*5. Suppose 0 = -4*v - b*v + 528. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29.385 and 0.9204?\nAnswer: 30.3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - -3) - -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1989, -7907, -17785, -31635, -49469?\n\"Answer: -2*q**3 - 1968*q**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191\/15 + 62\/5. Let z = -219 - -219.5. What is the third biggest value in 3\/5, -12, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = 8 + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153633633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-1 + 1 - p)*(5 - 2 - 2)*(-5 + 13 + 7) to the form j*p + t and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23765975 to the power of 1\/2, to the nearest integer?\nAnswer: 4875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*((m*m**(-3\/10))\/m)\/m*m*m*m**18*(m\/m**(1\/21))**(-42) assuming m is positive.\nAnswer: m**(-203\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -13\/5, -2, -2\/133?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-3 + 2)) + -2. Let u = -1 - v. Let r be 9\/3 - u - -2. Calculate the greatest common divisor of r and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/7, -0.4, 137\/7, -0.5 in decreasing order.\nAnswer: 137\/7, 17\/7, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21849, 21833, 21809, 21777?\nAnswer: 21737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 + 96. Let o(h) = h**2 + 4*h - 19. What is the remainder when ((-120)\/(-28))\/((-5)\/k) is divided by o(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753191706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207773963 by 3.\nAnswer: -207773963\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/((-2)\/4))\/(-1). Let y be -5*b\/(6\/(-3)). Let t = 0 - 2. Put t, -4, y in descending order.\nAnswer: t, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 bigger than -1681355.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 5 + 0\/4 - (-20)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -3*i**4\/2 - i**3\/3 - i**2\/2 + 50. Calculate j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34935 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 13 - 161 = 0. Let w = 154 - i. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 p when four letters picked without replacement from {p: 4, w: 4, g: 8}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Let c be ((-4)\/(-30))\/(-1) + ((-108332)\/795)\/28. Sort 7, c, -3, k in descending order.\nAnswer: 7, k, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300117?\nAnswer: 3, 71, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566 + 380. What is the highest common factor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7255 and 36206803.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2852\/7155 - -2\/1431. Factor -b*p**2 + 0*p + 1\/5*p**4 - 1\/5*p**3 + 0.\nAnswer: p**2*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 4. Let l(z) = -z**3 - 9*z**2 + z + 2. Let u be l(-9). Let n be d(u). What is the smallest common multiple of n - (-1 - -1) - -10 and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3321, -3694, -4307, -5154, -6229, -7526, -9039?\nAnswer: -10762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/(5*1)). Let b(t) = 4*t + 14. Let a(v) = -v + 1. Let h(r) = -9*r + 21. Let x(o) = 12*a(o) - h(o). Let p(w) = 5*b(w) + 7*x(w). Give p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:15 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*p**2 - 84*p + 231*p - 150*p.\nAnswer: 708*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1931*j**2. Let m(x) = -20*x + 4. Calculate m(n(o)).\nAnswer: -38620*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-3503 + 3503 + 6846*m**4).\nAnswer: 6846*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1316?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322026 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2549*w**4 - 2*w**2 - 587*w - 59. Let n(q) = 1275*q**4 - q**2 - 293*q - 26. Let d(z) = 3*h(z) - 7*n(z). Find the second derivative of d(p) wrt p.\nAnswer: -15336*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:45 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-8)*r*r)\/(r*r**(-5)*r*r))\/(r\/(r\/r**(-1)))**44)\/((r**(-1\/2))**(-24)\/(r**(1\/3))**(2\/73)) assuming r is positive.\nAnswer: r**(6572\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -785 (base 11) to base 10.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgk when three letters picked without replacement from kjgggjjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Let z be 6 - 4 - 0\/(-3). Suppose 2*k = -0*k - z*v - 1199990, -5*k = b*v + 2999985. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 3*v + 39, 1137*v - 1134*v - 15 = -m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61117 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 840967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 2*w. Suppose -19*v + 12*v = -21. Calculate the least common multiple of v and ((-5)\/5)\/(w\/(-72)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 166*x + 1. Let u be f(1). Let i = -117 + u. What is the greatest common divisor of i and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/4 + 7*t**3 + 9*t**2 - 40*t - 6. Let r be v(-20). Suppose 2*a - 1029 = 5*l, -2*a - a + 3*l + 1548 = r. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:23 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17297 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - -1)*30\/12. Let q = c + -12. Suppose 750 = -q*k + 8*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 - 2 = 0. Suppose 47 + 85*x**4 + 111*x**4 - 357*x**p - 43 - 48*x + 205*x**2 = 0. Calculate x.\nAnswer: 1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 3*x - 511, -5 = -x. Solve t*v - 259*v = 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 5686 = -4457. What is the smallest common multiple of m and 9?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -2.7. Let q = w + -1.8. Let z = -1 + 0. Which is the closest to z? (a) q (b) 0.5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17321972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 + -2. Let d = -7.1 - -9.1. Put d, z, -3\/7 in ascending order.\nAnswer: -3\/7, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 600952.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/4, 1\/3, -16, -1.3, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4*k + 132 = 0. Let g = 18 - -5. Suppose 4*y - g = -5*d, y + y - k = 4*d. What is the highest common divisor of 48 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/5 + 1 + -7. What is the fourth smallest value in -1, t, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggngnggnnggngg?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f**20)\/((f\/(f\/(((f\/f**(-6\/11)*f*f)\/f)\/f*f)))\/f**(-2)) assuming f is positive.\nAnswer: f**(-325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.6 + -6. Let k = -139147\/108 + 1302638011\/1010988. Let j = 2\/407 + k. Which is the second biggest value? (a) j (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 9 = -j, 4323 = 3*f - 2*j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + o = -0*o - 10, 2*w = -2*o + 16. Let r(x) = -3*x**3 - x**3 + 6*x**3 - 10*x - x**3 - 6*x**2 + w. Determine r(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x + 1. Let p be d(-3). Suppose -p*r + 26 = 10. Suppose 3 = r*w - 21. Solve 0*t + 2*t = w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48817000?\nAnswer: 2, 5, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 10:26 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79584 and 2616?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2\/3 - 34*n\/3 + 10.\nAnswer: 2*(n - 3)*(4*n - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/9 at least as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/12 and 59\/558.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -143034 rounded to the nearest one thousand?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -0.02. Do -11 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 + 406*j - 24. Let p be t(-51). Solve 35 = -p*y + 71*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 10\/7 (c) 0 (d) 13 (e) 0.0155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 16691.12 + -16767. Is d not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 6. Let g be r(-6). Let j be -5 + 8\/2 - (-3 - g). Solve 0 = v - 3*v + 4, 2 = j*a - 3*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 3) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.1. Which is the closest to w? (a) 21 (b) -2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-30)\/5 - -5*21066\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332 a factor of 145716789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4178 - 4150. Solve 11*s + 16 = -t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q + 2*q - q + 7*q - 9*q**4 wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 + -54. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 25 = -0*y. Let b be 1\/(-4) + y\/20. Suppose 0 = -b*r + 5*r. Is r bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*d**2 + 14293523*a**3*d - 112480*a**2*d**2 + 2*a**2*d + 29*a*d**2 + 4*d wrt a?\nAnswer: 6*d**2 + 85761138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than or equal to -12343\/38566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11202 (base 5) to base 8.\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224.35861 rounded to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -228 + 473. Suppose -p = -0*p + 3*w - 75, -r = -4*p - w. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 64*f + 3. Let v(s) = -26984*s**2. Calculate z(v(w)).\nAnswer: -1726976*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 3, 7133272.4?\nAnswer: 7133272.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 5, 8, 13, 20, 29, 40?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Let n be 2 - (4 + -3 - (4 + -6)). Which is the second biggest value? (a) j (b) 0.4 (c) n (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s. Let t(x) = 4*x**2 - x - 278464. What is t(a(f))?\nAnswer: 16*f**2 - 2*f - 278464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(504)*3 + sqrt(504)) - (sqrt(504) - -5*-1*sqrt(504)))\/(-6*(sqrt(8) + 5*sqrt(128) - (sqrt(8) + sqrt(8) + sqrt(32)*1))).\nAnswer: 4*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (699\/(-6))\/(1\/(-2)). Suppose -13 = -2*o - d. Let p = o + 150. What is the highest common factor of p and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 3) in base 6?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -431, -4\/3, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*f + 4*f. Let x = f + -3. What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21914001 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (874\/(-19))\/2*2\/2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450\/(-20)*(0 + (-96)\/10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - 5*h**4 + 4*h**4 + (h + 2*h**3 - h)*(2*h + 3 - 3) - 2*h + 2*h - h**4 + h**3 - h**4 - h**3)*(-29 + 106*h + 29).\nAnswer: 424*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 22*c. Let q(a) = 716*a**2 + 4191. Give k(q(o)).\nAnswer: 15752*o**2 + 92202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 0.722?\nAnswer: 10.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 83 + (-4 + 1 - 3)\/2. Let l = t + -54. Let y(v) = 8*v + 68. What is the hundreds digit of y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-160)\/(-24))*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 4*h**2 + 9. Let g(l) = -2*l**3 + 3*l**2 - 8. Let m(z) = 4*g(z) + 3*y(z). Differentiate m(f) with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7588200 rounded to the nearest one hundred thousand?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1 + (0 - 3)). Let t = r - -1. Suppose 3*y + 14 = 5*w + 7*y, -t*w + 5*y + 1 = 0. Which is smaller: 2\/11 or w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1368 - -1393. Solve -y*w + 22*w + 18 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22\/15 of a millennium?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -177 + 178 + 4*p**2 + p**3 - 2*p**3. Let a be (-1)\/((-2)\/(2*5)). Suppose -n - 16 = -a*n. What is r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472819 is divided by 5366?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2 - 1. Let q(u) = -52*u**3 + 6*u**2 + u + 5. Let i(y) = -6*j(y) + q(y). What is the second derivative of i(x) wrt x?\nAnswer: -348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 0 + 0*m**6 + 6\/35*m**7 + 0*m**3 + 26*m**2 + 0*m**5 - 55\/12*m**4. Find the second derivative of h(a) wrt a.\nAnswer: 432*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 257 + 59 = -2*c, -c - 141 = -3*v. Let t be 7*2\/70 - v\/(-10). Solve -t*s + 20 = -4*g - 1, 5*g = s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let n be 1\/c*(-15)\/(-5). Let i(x) = 0*x - 2*x + 0 - 1. What is i(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299782543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6067761, 6067759, 6067757, 6067755, 6067753, 6067751?\nAnswer: 6067749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16101 + -193327\/12. Find the common denominator of 59\/14 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1527\/2 - -784. Let r = 578083 - 6941245\/12. Let s = -353 - r. What is the common denominator of s and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 839 + -841.4. Let r = i + -48.6. Which is smaller: -3\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11. Suppose j = -v + 4*k - 5*k + 16, -k = 5*v - 88. Calculate the lowest common multiple of v and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let r(o) = o + 3. Let x be r(-6). Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*z - 10*z, h + 2*z = 51225. What are the prime factors of h?\nAnswer: 5, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267178 to the power of 1\/2, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -7 - 0) + (-3 - -8). Suppose -a + 877 = -3*b, m*a - 9*a - b + 4369 = 0. List the prime factors of a.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Suppose 0 = 4*z - j*z - 130. What is z rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000385 rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 515159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 4. Suppose -4*y - 428 - 272 = -2*h, 5*h - 3*y = 1764. Let q = 3930\/11 - h. Are q and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -546 - -1026. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 48) + -39 - -9.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*q, -4*q = 5*t + 3 + 54. Let s = -5 + t. Let n = -9 - s. Which is the second biggest value? (a) n (b) 0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 12, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 880525 - 880524 + 0*o - 2*o - 2138*o**3 in the form z*o**2 + i*o**3 + s + n*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 19*w = -3*q - 39, 3 = -2*w - 3*q for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232240314 and 12?\nAnswer: 464480628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47120*s + 47099*s + 908103. Is 160 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(168))\/(-6*sqrt(21)\/sqrt(3)))\/((sqrt(72)\/(sqrt(4)*2) + sqrt(18))\/(sqrt(6) + sqrt(6) + sqrt(96)*-2 + sqrt(6))))**2.\nAnswer: 200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 379 - 3454. Let f = -1 + 16. What is the highest common divisor of p and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/5 - 29*h\/5 + 78\/5 = 0. Calculate h.\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-18546)\/9)\/((-8)\/24). Let m = -3263 + j. Round m to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, n: 3, c: 1}. Give prob of sequence cnnn.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -3. Let t(u) = -u**2 + 2*u - 1. Let a be t(y). Find the common denominator of -81\/20 and -1 + (-178)\/a + -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128 or 1\/71?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69150 plus 6318?\nAnswer: 75468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 41072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4945754*x**2 + 20. Let v(w) = -3*w**2. What is r(v(n))?\nAnswer: -44511786*n**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123693 is divided by 161.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -10. What is the remainder when (1 - 7\/4)*u is divided by (66\/99)\/((-4)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159940 and 5661876?\nAnswer: 28309380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15957695 to the power of 1\/2, to the nearest integer?\nAnswer: 3995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 34. Let r(m) = m**3 - 4*m**2 - m + 5. Give r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 8. Let r be i(-6). Suppose 2 = 2*v - r. Let j be 9\/(-3) + 3 - -3. Solve j = v*l + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t + 2264*t**2 + 4 - 2208*t**2 - 6*t in the form i + l*t + j*t**2 and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 85. What is the least common multiple of 18 and 6*((3 + 1 - y) + -4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 4*a. Let d be q(-3). Find the common denominator of 6\/d + (-82)\/(-10) and 10\/(-48)*(28 + -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 775746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2449 or -350154\/143?\nAnswer: -350154\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from {o: 4, e: 1, n: 1, k: 2, a: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5\/12 (b) 2 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**5)\/w)\/(w**4\/w))\/(w**(2\/9))**(-46) assuming w is positive.\nAnswer: w**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14709 + -14702. Which is the biggest value? (a) -2 (b) 2 (c) 3\/7 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v**2. Let g(b) = 24*b**2. Determine g(i(r)).\nAnswer: 8664*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0138 and -0.22.\nAnswer: 0.003036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*m**3 - 4542 with respect to m.\nAnswer: -153*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.35 - -1.25. Is q not equal to 43\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 37. Suppose 0 = 4*u - 4 - f. Let p = 5 - u. Let q(g) = g**2 - 2. Calculate q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691141991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 2*p**2 - 67*p**2 - 23*p**2 - p.\nAnswer: -92*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1103446, 2206912, 3310378, 4413844, 5517310, 6620776?\nAnswer: 7724242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5415894 and 156073?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-9 + -10 + 28 + (7 - (2 - -2)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557290 = -17653*b + 22499*b for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*4)\/sqrt(4) + (sqrt(2) - ((sqrt(10)*4)\/sqrt(5))**2) + 2.\nAnswer: -30 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 14*s - 12. Let q be f(-15). Let p(c) = -c**2 + 6*c + 3. Let w be p(6). Find the second derivative of q*j + w*j**2 - 5 + 5 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 28, 53, 78, 103, 128?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0 + 17*q + 25\/12*q**4 - 3\/2*q**2 + 1\/2*q**3. Is r(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 - 79*p + 324. What is m(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*g - 2*j, -4*g + 4*j + 8 = 8*j. Suppose -2*c + 4*c = g. Suppose 3*a - 32 = -a - 2*d, c*d - 6 = 0. What is the highest common divisor of 28 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10) + 3320\/(-400).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9606\/49 - -196. Let z = -1356133\/35 - -38748. What is the common denominator of j and z?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-154))\/((-4)\/4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:08 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 3. Let x be f(1). Let d(k) = 2*k - x*k + k**2. Let t(n) = -15*n + 29*n - 11*n. Determine t(d(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 5. Let t be s(5). Suppose -9 = -2*u - t*z + 1, 25 = -u + 5*z. Let f = 0.2 - -0.2. Which is the second biggest value? (a) f (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.84 * -14.\nAnswer: 11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161 + 2*u**4 - 162 - 4*u - 3*u**4 to o*u**4 + m*u + g*u**2 + x*u**3 + l and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.607 + 4212.607. Let u = -4210.967 + n. Let h = u - 0.033. What is the nearest to 0 in -4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {z: 2, h: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426*((-1)\/2 - (-7 + 3)) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -142753 + 744753. What is s rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:07 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*2 + sqrt(324) - sqrt(324))\/(sqrt(36)\/sqrt(3)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-99)\/135). Let s = -12\/11 - x. Let n(w) = w**2 - 8*w + 9. Let h be n(6). Which is the third biggest value? (a) s (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 406c + -3?\nAnswer: 4069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49078*i**3 - 1306 wrt i.\nAnswer: 147234*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74.9 - 46. What is v rounded to zero dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428677 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41182.87mm to centimeters.\nAnswer: 4118.287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvdtteaaadd. What is prob of sequence te?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 62 = 3*p. Suppose -2*w = -2*l + p, -5*w + 3 = 3*l - 2*w. Sort -3, -8, l, 0 in increasing order.\nAnswer: -8, -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10196445.\nAnswer: 3, 5, 7, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - h + 1. Determine d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 128*i + 1288. Give t(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 8*m**2 - 495*m - 3934. What is t(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v - 25. Let h be g(-8). Let d = 42 - h. Solve -d*f - 3 = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 360 - 90 = 0. Suppose c - 4 = -3*f, -c + 8 = c - 4*f. Put u, -3, c in decreasing order.\nAnswer: u, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 6:53 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3234 + 3345. Solve 132*a = l*a + 126 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/14)\/((-315)\/630)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48093 rounded to the nearest one hundred?\nAnswer: 48100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 + 8*x + 7. Let m(u) = 7*u**2 + 8*u + 8. Let t(s) = 6*i(s) - 5*m(s). Let n be t(-7). Let j(b) = -b - 8. Give j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.12 - -0.12. Which is the nearest to 0.5? (a) -1 (b) r (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 23. Let i be c(8). Solve -1 - i = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r - 4 = -67*r + 3*a, r - 5 = 2*a. Let u = -66705\/92 + 725. Is r >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -110477 and -229?\nAnswer: 110248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451940.\nAnswer: 2, 5, 172597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1777 divided by -16634\nAnswer: 1777\/16634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 69*t**2 - 438*t + 778. What is h(6)?\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5\/2 - 128541*o**4\/2 - 917954127*o**3 - 4370685540510*o**2 - 4369767650652*o = 0. What is o?\nAnswer: -14282, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41151 or 46199?\nAnswer: 46199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 19. Let r be 0\/(4\/c*(-24)\/16). Solve -3*w + 0*m - 3*m + 9 = r, 2*w + 4*m - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 16. Let w(j) = -11*j**3 + 9*j**2 - 7*j - 9. Let a(k) = 5*k**3 - 4*k**2 + 3*k + 4. Determine n*a(p) + 4*w(p).\nAnswer: p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/9 + 17*b**4\/9 + 26*b**3\/3 + 14*b**2\/9 - 335*b\/9 + 25 = 0. Calculate b.\nAnswer: -9, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15222763 (base 8) in base 9?\nAnswer: 6487846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707824 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 71, -4 in decreasing order.\nAnswer: 71, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 72\/7 (b) 0.1 (c) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 63. Let n be t(15). What is the units digit of (-4 + (-9)\/n)*-37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 2375225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 615.\nAnswer: -1\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + g, -3*k + 2*k - 3 = -2*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 2541*l - 46135. Calculate d(18).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.70462 kilograms to micrograms.\nAnswer: 6704620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -18, -6, 10, 30, 54?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*-2 - sqrt(88))*5 + sqrt(88))*-3)\/(-2*sqrt(24)\/(sqrt(9)\/sqrt(3))).\nAnswer: -27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3550728 + 4?\nAnswer: 3550733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose -2*p + 6807 = 5*m, -2*m + 4086 = m + v*p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041367 rounded to 6 decimal places?\nAnswer: -0.000414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2\/25 + (3 + 86\/(-25))*-6218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/25 and 29\/262070?\nAnswer: 1310350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1537*t - 152213. What is r(-99)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2750*b**2 + 1934*b**2 - 4 + 4.\nAnswer: -816*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58752 and 39899?\nAnswer: 137890944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 8. What is a(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7605 - 68447\/9. Suppose -b = -11 + 16. What is the nearest to 0.1 in r, -3, -4, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 914590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -9, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/44 and -109\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*f = -141*f. Suppose 5*o = v - 9305, f*o + 18597 = 2*v + 3*o. Round v to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330 != 5173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i - 11 + 29*i + 36*i + 43*i - 25*i as l + n*i and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + x + 2. Let r(l) be the third derivative of -l**5\/30 - l**4\/12 - l**3\/2 + l**2 - 43*l. What is 8*o(n) + 5*r(n)?\nAnswer: -2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*-43*(5\/20)\/(1\/(-32)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + -2*sqrt(243) - sqrt(243)) + sqrt(243))**2 + -2 - (1*sqrt(27) + ((sqrt(3)*1 + sqrt(3))*-6)**2).\nAnswer: -191 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k**2 + 2*k + 22. What is b(4)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 a factor of 18801652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*a, 3*m - 184*a + 187*a = 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 24. Let w be d(-6). Suppose 0 = -g + 9 - w. Calculate the remainder when (-4)\/14 - (-114)\/7 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4*0)\/((-96)\/48). Suppose q = 28*j - 22*j - 864. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27 from 120610.\nAnswer: 120637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - k + k)*(-79 + 198 + 317) + (2*k + 3 - 3 + (4*k - 4*k + k)*(3 - 2 - 2))*(3 - 2 - 2) to the form b + y*k and give y.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -10188?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135\/4 + -34. Let q = -3720 - -3723. What is the smallest value in z, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4703, 520, -1, 2, 0 in decreasing order.\nAnswer: 520, 2, 0, -1, -4703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53006.4 tonnes to milligrams.\nAnswer: 53006400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-887958)\/(-66) - (-5 + 3)*1\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 - 4.755. Let h = -27.955 - o. Let q = h - -33. Sort -1, q, -0.6 in descending order.\nAnswer: q, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -1. Let i = -151 + 232. Suppose 0 = 5*v - 76 + i. What is the closest to v in -2, k, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(245))**2*-3 + sqrt(245) + -2 + 1*sqrt(245)).\nAnswer: -737 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {m: 1, t: 5, a: 3, k: 2, i: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4 + 111074*q**3 - 188485920*q**2 + 105903347200*q - 19801406464000 = 0.\nAnswer: -112754, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -7188?\nAnswer: 7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74, 230, 488, 860, 1358, 1994, 2780, 3728?\n\"Answer: 2*v**3 + 39*v**2 + 25*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9100\/38675 - (-722)\/(-34).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 = 3*u + 4*x - 2043, -3*x = -4*u + 3700. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*m + 16*m + 566. What are the prime factors of m?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325 + 1125. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490 equal to 1491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2. Suppose 4*m - 9*m = -4*v - 105, 0 = m + 2*v - 35. Let r(d) = 36*d + 11*d + m*d. Determine r(c(z)).\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(8\/5)*j**(2\/27)*j**(11\/6)\/((j*j\/(j*j**(-13)))\/j) assuming j is positive.\nAnswer: j**(-2293\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7348?\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n - n - n + (2*n - n - 3*n)*(3 - 1 - 4).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 490.136 and -0.4.\nAnswer: -196.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Suppose 47*d - 42*d + 5 = 0. Suppose 2*p + 19 = -4*v - p, 4*v + 12 = 4*p. Let k(x) = -x**2 - 7*x. Determine d*k(u) + v*c(u).\nAnswer: u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 6 + 2. Let v be ((-4)\/i)\/(14\/2). Which is bigger: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(77)*-2)\/(-5*sqrt(112) + sqrt(7)))**2.\nAnswer: 704\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7841781 and 11.\nAnswer: 11.7841781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 81*g + 77. Let z be k(7). Let n = z - 593. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + o + 8 = -4*o, 4 = 5*r + 4*o. Let w(m) = 5 + r - m + 0. Let l(h) = 2*h**3 + 3*h**2 - 8*h - 6. Let y be l(2). Give w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (5 + sqrt(13) + -3)) + (sqrt(13) + sqrt(52)\/sqrt(4))**2*-5.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 36?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8, -1\/31, -38?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 535*13\/((-130)\/12). Is 24 a factor of a\/(-14) - (-1)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 667 and 10?\nAnswer: 6670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*a + 3, -3*a - 134834*o = -134831*o - 81 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.2683, 2\/7, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f. Let a be q(-2). Suppose -a*i + 4*k + 370 + 132 = 0, 0 = 5*k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 2*v**2 - 3*v**2 + v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 986009 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2. Let x(h) be the second derivative of -h**5\/3 - h**3\/3 + 17*h**2\/2 - 78*h. Let t(s) be the second derivative of x(s). Give t(p(q)).\nAnswer: -160*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 1\/3*s**3 - 1\/60*s**6 - 2*s + 0 + 1\/10*s**5 - 1\/4*s**2 - 1\/4*s**4. Suppose z(a) = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 9)*(1 + 2 - 4)*(3*k - 2*k + 47 - 34)*(17*k**3 - 40*k**3 + 26*k**3 + 3*k) in the form i + m*k**3 + j*k**4 + g*k**2 + b*k and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*a**2 + 33*a**2 + 74*a**2 - 217*a**2 as v*a**2 + k*a + o and give v.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -392*g**3\/3 - 1121*g**2\/2 + 270*g. What is the derivative of l(i) wrt i?\nAnswer: -784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 171.9. Which is the closest to -1? (a) 2\/3 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/7))**23*f*f*f\/(f*f\/(f*f*(f**1\/f)\/f))*f*f**0 assuming f is positive.\nAnswer: f**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a decade in months?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from bfbfnnnfnffbfffbf.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14324 and 3650646641?\nAnswer: 3650660965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + d)*(2 - 3 + 10 + 4 - 3 + 1 - 2 - 5 + 5 + (-2 - 2 + 5)*(0 - 1 - 1))*(-1 - 2 + 5).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.7, 7\/3, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.036 (c) 17.52 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 4, t: 2, u: 7, r: 4}. Give prob of picking 1 v and 2 t.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {o: 2, f: 1, q: 4, y: 1, e: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7321, -8487, -9647, -10801?\n\"Answer: 3*c**2 - 1175*c - 6149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-2))\/((-63)\/(-42))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ajajajxhjjjjijxaj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/2 - 218980*t + 23976120200 = 0.\nAnswer: 218980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -90. Solve q*p - p = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 43*r + 156. Let x be j(-40). Calculate the greatest common divisor of 768 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1403.\nAnswer: 561.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4762627 is divided by 952517.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8122*b - 706608. Give i(-87).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, 0.5, 5, -6 in descending order.\nAnswer: 5, 7\/3, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 3. Let b be d(4). Suppose -2*t = -b*m + 3*m + 756, -t = 3*m - 1134. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.5, 1\/7, 2\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/5 - 3*v**3\/5 + 3*v**2\/5 + 7*v\/5 - 6\/5.\nAnswer: -(v - 1)**2*(v + 2)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183527 + -58544. Let k = u - 1384929. What is k rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (0 - (1 - 2)). Solve k*u + 8 = -r, -3*r - 22 = r + 2*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d - -1b9ac?\nAnswer: 1b9e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2195 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40189.72ml?\nAnswer: 40.18972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3))**33\/((b*(b**(-6)\/b)\/b)\/(b*b*b*b*b*b**3\/b*b)))**(-4\/27))**42 assuming b is positive.\nAnswer: b**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/10*(-460)\/(-8). Suppose 5*b - 809 = -5*d + d, -3*d = 3*b - x. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v**2 + 8*v - 4. Let u be l(-4). Let t = -135 + u. Solve 2*a - t*p = -0*a - 20, -p + 4 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.69 + -1.7578. Round s to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -44*i - 3. Let f(t) be the first derivative of -4841*t**2\/2 - 329*t + 4056. Calculate 3*f(n) - 329*w(n).\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 6*n**2 - 8*n - 3. Let x be 1*21\/(-3) + 0. Let y be m(x). Suppose 0 = -5*z + 1 + y. Solve 2*q - 3*q = z, -2*f - 4*q = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*((n*n**(-1\/3)*n)\/n)\/n*n**(5\/2)*n*n\/n**(-2\/11))\/((n\/n**2)\/n**(-10))**40 assuming n is positive.\nAnswer: n**(-23077\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 22*x - 76. What is the tens digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8684*b + 87385. What is f(-10)?\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 + (-4 - -2) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*k - 6*k + 74*k - 15*k)*(-26 + 65*k + 24 - 17*k) to the form c*k + s + y*k**2 and give c.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let f(l) = -198*l + 62. Let c(r) = 150*r - 60. Let z(i) = -4*c(i) - 3*f(i). Calculate z(p(g)).\nAnswer: -12*g + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 2\/61, 4, 2\/7, -43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(72)*-1)**2 - sqrt(162)*-1.\nAnswer: 10*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160688 times -1844?\nAnswer: -296308672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/9 + 0)*-12. Suppose 4*n + 3*u + 0*u + 7 = 0, -3*n = 5*u + p. What is the common denominator of -103\/10 and 2 - 106\/6 - n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/1492 and -181\/11190?\nAnswer: 22380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39153.23145 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*a + 11 = 0, 0*y = -2*y + 2*a - 4. Suppose 2*n - 8 = -2. Let l(f) = -3*f + 2 - 2 - n. Calculate l(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 21 = 9. Let l(f) = f**3 + 48*f**2 - 101*f - 57. Let m be l(-50). Let c be (-2)\/m - h\/42. Solve 0*k - 5*a - c = -2*k, -4*k = 2*a + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 smaller than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 1002 (c) 1\/4 (d) 0.3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f**(-3\/5)*f)\/f)\/f))\/(f**19*f) assuming f is positive.\nAnswer: f**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -l - 28575 + 7756, -3*l - 6929 = -j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/8 + (-5)\/(-20). Let t be m*(4 - 7\/(-2)). Let s = t + 81. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 4 + 4)*(2987*g + 425 + 427 - 1275 + 423).\nAnswer: -2987*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + 100604\/196. Let t = c - 288. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11*t**2 + 9*t - 15. Let i be u(5). Suppose i = 5*c + 5*o, 6*o - 41 = -c + o. What are the prime factors of 6 - 2 - 5 - c\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6681605 - -55034001\nAnswer: 61715606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {d: 4, t: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6505)\/(-12) - ((-488)\/(-96) + -5). Suppose -p = -5*h - 3*i, -5*i - 241 - 309 = -5*h. What are the prime factors of h?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.606 - -5.03. What is l rounded to one decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2507490 < -2507496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10074*v + 54540 = 11589*v for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 43 - 18 - 2*t + t - 20. Let g = -14 - -10. Calculate the remainder when 34 is divided by p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4691 and 1150.19?\nAnswer: -5395541.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.64529 rounded to 1 dp?\nAnswer: -119.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-276)\/(-966))\/(6*(-8)\/(-2352)). Suppose 7*j - 2*j = 55. Solve -5*f = w + j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 24*c**2 - 27*c - 101. Determine g(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -42 - (-41 + 34). Suppose -2*b = -b - o. Calculate the greatest common factor of b and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 11*j + 15. What are the prime factors of t(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwuwuwuwuwwuwuwwlu. What is prob of sequence wlu?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-1))\/((-6)\/(-4)). Let p be (8\/10)\/(4\/10). Let h(l) = 0*l**2 - p*l**2 + r*l**2. Let z(f) = 2*f. Determine h(z(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5366026 minus 0.2?\nAnswer: -1.7366026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 129705 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1655969 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -540.9 - -500. Let i = 28.9 + a. Is -2 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 11*m - 3 + 0. Let h(i) = 2948 + 7*i - 1784 - 1164. Give f(h(k)).\nAnswer: 49*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5679, -11341, -16985, -22611, -28219?\nAnswer: -33809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 + 2*o**2 + 55*o - 360. Calculate q(4).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1397, 1400, 1405, 1412, 1421, 1432, 1445?\n\"Answer: b**2 + 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 24\/((-1 - 6\/(-24))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 805 = a, -2*a - 537 = -3*f + 272. Let t = 6 + -3. Suppose -t*r = -3*j + f, 9*j + r = 5*j + 356. Calculate the remainder when j is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439 + 22 = -139*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.056 or -1.41?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69827398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-986)\/(-305) - (-262)\/(-7991). Determine y, given that -6*y + 4\/5*y**2 - o = 0.\nAnswer: -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1472132*y = -1472143*y + 506 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 19 + 9 - 23 + 4*d. Let h(y) = y + 1. Calculate 3*h(x) - v(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11423 divided by -106.\nAnswer: 11423\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) 3 (c) 7 (d) 2\/3025\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(25\/3) assuming j is positive.\nAnswer: j**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-three fifths of a millennium?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 15*m + 188*m - 1239 = -20*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2 - 8 = 2*b, -3*b = 2*f + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/17)*w)\/w)\/w**(-5))**(-20) assuming w is positive.\nAnswer: w**(-2080\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-11.9\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*j + 28*j + 320 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11\/4)\/w**(-49) assuming w is positive.\nAnswer: w**(185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (1 - 13))*29. Do x and -438 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -317 + 314.17. Let c = 122.83 + f. Let i = 120.114 - c. Round i to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*y - 92, 6*y = 4*y + 2*v + 40. Calculate the remainder when 76 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + -1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231538 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2772 and 782460?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10671 in -85, -3, -2?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 9:46 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4645285515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l + 7. Let o(d) = 8*d - 8. Let z be 25\/4 - (-14)\/(1288\/(-115)). Determine z*w(y) + 4*o(y).\nAnswer: -3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -12. Let f = -4 - -15. Let z = f - k. Which is the third biggest value? (a) -2 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:13 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 4*d + 50, 5*k = d + 203. Suppose k = -2*l + 7*l. Suppose -50 = -4*o - 2*c + 102, -4*c = l. Calculate the remainder when 75 is divided by o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -492 + 322. Let r = -145 - i. Solve 0 = 20*p - r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/11*c + 6\/11*c**2 - 136\/11.\nAnswer: 2*(c + 2)*(3*c - 34)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(3) - sqrt(12)*1)*6 + 2 + (sqrt(363) - (sqrt(363) + 0)))**2.\nAnswer: -24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.4 - 25. Let g = 5.96156 + 0.03844. What is the nearest to -0.1 in -0.3, c, 1\/4, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 23933.\nAnswer: 47866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + -5*(sqrt(77)*2 - sqrt(77)) + sqrt(77)))\/(sqrt(11) - (sqrt(11) + (sqrt(11) - -2*sqrt(99))) - sqrt(44)\/sqrt(4)*-3).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-110)\/(-25) - 1816\/(-4490). Let i = r + -916\/4041. What is the nearest to i in 0.6, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 12. Let s(v) = -4*v**4 - 8*v**3 - v**2. Let z(j) = 3*j**4 + 9*j**3 + 2*j**2. Let k(b) = o*s(b) + 3*z(b). Find p such that k(p) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**22\/((v**9*v)\/v)*(v*v**(5\/3)*v)**20)**(-49) assuming v is positive.\nAnswer: v**(-12691\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4432814 divided by -31?\nAnswer: 142994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 2\/4. Suppose -2*k + a*k = -28. Calculate the remainder when 39 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2301 + 2304. Let o = -10 - -11. Which is the closest to k? (a) o (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/(-18) + (-336)\/(-9). What is the highest common divisor of x and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466*m = 4567 - 15751. Solve m*p - 18*p = -48 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -23\/5, -0.2, -2, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*17\/136*8\/(-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*r = -222*r + 55 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10886795 is divided by 63663.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8*(0 + -1)\/22 and ((-13)\/(-5))\/(1\/(-3))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(-1 - 3\/(-2)). Suppose 4*z + r + 11 = 2*p, 3*z + 47 = 4*p. Suppose 0 = 2*s - 3 - 7. Calculate the remainder when p is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m - 17. Let l = m - 24. Let i(q) = -30 + l*q + 17 - q**2 + 0*q. What is i(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797705 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 10*q**2 - 2*q - 28. Give v(7).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 3*n**2 - n + 1. Let t be k(2). Let q be (-87)\/116 + ((-27)\/12 - -2). Put -2, t, q, -3 in decreasing order.\nAnswer: t, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(6\/17))\/z**2 assuming z is positive.\nAnswer: z**(-11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 4:59 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.75506 to 2 dps.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2205, -9406, -22479, -42300, -69745, -105690?\nAnswer: -151011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.5 - -10. Let l = -1 + 0.5. Let r = m - l. Put r, -0.3, -4 in decreasing order.\nAnswer: -0.3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(56)\/sqrt(4) + sqrt(280)\/sqrt(5))\/((sqrt(90)\/sqrt(5))\/sqrt(9) + sqrt(50)*-2).\nAnswer: -8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {b: 2, m: 1, o: 7}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 9*t**2 + 10*t - 2. What is k(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 0, 2.\nAnswer: -38, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 10*u**3\/3 + 32*u - 21. Differentiate r(l) wrt l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 70c?\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37371 (base 11) to base 14\nAnswer: -157c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7147152.09 rounded to the nearest 1000?\nAnswer: 7147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 2*j**2 + 5*j**2 + 0*j**2 to the form y*j**2 + d + c*j and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-32))\/(1\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u - 5. Suppose -7*n = -q - 5*n + 3, -2*q - 4*n - 18 = 0. Let h(s) = -4*s - 2. What is q*g(b) + 7*h(b)?\nAnswer: -7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 12 = 0. Suppose -l*x + 30 = -78. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**2\/2 + 10*w - 5. Let b be j(9). What is the first derivative of 0*d - d + b + 2*d wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) 2 (c) -24 (d) -4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16587*g + 16587*g - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7*(-9)\/(-21))\/4)\/((-3)\/2023676) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.88 * -0.2\nAnswer: 1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17. Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 9. Suppose -2*l = -0 - 6. Let o(f) = 2*f**2 - 3*f - 2. Let z be o(l). Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.870243 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2009, 1159, -1141, -5617, -12995, -24001, -39361, -59801?\nAnswer: -86047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.25 and -8.54.\nAnswer: -44.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u + 40*u = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - g = 602. Let q = g - -44. Which is smaller: 1\/294 or q?\nAnswer: 1\/294","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/338 and -115\/182.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103, -70, -45, -34, -43, -78?\n\"Answer: -o**3 + 2*o**2 + 34*o - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 10 - 10. Let c(n) = -n**2 + 12*n - 8. What is the remainder when c(k) is divided by (10\/(-4))\/((-5)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/12 and 29\/304522722?\nAnswer: 609045444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - d = 21183, 52*b - 56*b - d = -16950. Calculate the highest common factor of b and 1115.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1299 + 14288\/11. Which is the smallest value? (a) 1\/4 (b) -1\/2 (c) 1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 159, 346, 587, 870?\n\"Answer: -2*t**3 + 45*t**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-325)\/(-26) + (-3)\/2. Let d be 10*3\/(-9)*-3. Suppose d = 2*u, 5*u = k + 3*k - 19. What is the highest common divisor of k and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12350, -8350, -4350, -350, 3650, 7650?\n\"Answer: 4000*f - 16350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) -18 (b) 0 (c) 21\/2 (d) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27, -22378, -5, 2.\nAnswer: -22378, -27, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 28 + 46 - 14*b - 6*b in the form i*b + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(637) + (sqrt(637) + sqrt(637) + -1)**2*-6)*2 + 6*(sqrt(637) + sqrt(637)*2)*-6*-4.\nAnswer: -30596 + 3374*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.59076 months in years?\nAnswer: 17.29923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let v(i) = 11*i. What is h(v(q))?\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-1)*(-28)\/8*10\/(-140).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -36*t - 936. What is the highest common factor of 26 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - 29877 - 15143. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3.322173197\nAnswer: 6.322173197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(121)*-2)\/((sqrt(891) - (sqrt(891) + 1*sqrt(891)) - sqrt(891)) + sqrt(891) - sqrt(11))*-6 + 4.\nAnswer: 12*sqrt(11)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 1:17 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273189.2641 - -272969.3. Let i = 220 + y. What is i rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 55. Let f be 53\/g - (-2)\/11. Suppose 3*l = 2*t - 5, 3*t - 18 = 2*l - 13. Solve s - 5*r = -t, -f*r = 3*s - 8*s + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.909 - 9.71. Let p = 0.199 - j. Which is the closest to 2? (a) 2\/5 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 111\/8?\nAnswer: 111\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 311, 1234, 2773, 4928, 7699, 11086, 15089?\n\"Answer: 308*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11887136 and 4960?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.08327 to the nearest integer.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*z - 93*z + 80*z + (5*z - 2*z - 2*z)*(4 - 3 + 3) to d*z + t and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2, 0 = 5*b + 3*r - 199 - 140. Calculate the remainder when 550 is divided by b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250716602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 173907324 divided by 12?\nAnswer: 14492277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/2 - 2*i**3\/3 - i**2 + 2*i + 1. Let g(u) = 2 + 93*u**2 + 4*u**3 - 5*u + 2 - 98*u**2. Determine 2*g(k) - 5*q(k).\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 12) to base 15.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200) + -2)**2.\nAnswer: -40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and 33\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283.84 litres in millilitres?\nAnswer: 5283840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 10) to base 15\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**5\/60 - 2*t**4\/3 + 4*t**3\/3 - t**2. Let f be y(-8). Let p = -35 + f. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4407 divided by -59567?\nAnswer: -4407\/59567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a millennium in decades?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/12)\/(3\/36) - -142. Let j = f - 144. Is -21\/4 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -465*r**4\/8 + 215*r**3 - 127*r**2. Differentiate b(w) wrt w.\nAnswer: -1395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/6 - 5*h**3\/3 + 208*h. Factor v(x).\nAnswer: -2*x*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n - 490 = 632. Solve n = -4*o + 2, -3*o = -4*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*a**3 + 80 wrt a?\nAnswer: -237*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 151 = -137, 21*a - 5*u + 28 = 23*a - 2*u for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:43 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2688482 and -25\/1598.\nAnswer: 126358654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v + 5*z + 16, -3*z = 0. Solve v*i + 41 = -5*l, 0 = 5*i + 2*l + 8 + 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, o: 5}. What is prob of picking 1 o and 3 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 2*x**2 + x. Let q be s(2). Let u be (-7)\/((-14)\/4) - q. Is 3 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 4:08 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -5*d**2\/2 + d - 23. What is y(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.191*5\nAnswer: -60.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1938\/7 + 276. Which is the closest to 1? (a) 1\/4 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72571793.\nAnswer: 7, 17, 87121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/2 in 0.4, 0.91, -1, 63?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, -3, -21, -39, -57?\n\"Answer: -18*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from aztatttapataawt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/4 + 29*k**4\/4 + 51*k**3\/4 - 81*k**2\/4 = 0. Calculate k.\nAnswer: -27, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-35) - (710\/(-728) + 2\/13).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = 9. Let k be p\/(1 - (-3 + 11)). Which is the smallest value? (a) k (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10932338 and 1434.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/3*(-3195)\/(-2840)*(-8)\/(-12)*-2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -18. Let b be 1\/(1\/w*-2). Let g = b - 0. Sort 17, 2, g in decreasing order.\nAnswer: 17, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8662 divided by -71\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 79307626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 - (-8 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14342 + -14126. Calculate the highest common divisor of 3294 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 19 + (-391 - -364)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 8317 (b) 0.13 (c) 2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + 12*d + 1. Let f(y) = 1. Calculate 2*f(l) - s(l).\nAnswer: 3*l**2 - 12*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(228)*-4)\/(((sqrt(72) + -4*sqrt(72))\/sqrt(6) + sqrt(12))*4).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 177e (base 16) to base 8\nAnswer: 13576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1292.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 2257766.\nAnswer: 17\/1128883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 22. Let u(t) = -x*t**2 + 3 - 3 + 12*t**2. Let z(f) = -8*f. Determine z(u(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42\/115 - -356\/345. Which is the closest to 0? (a) -0.1 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.74089127871 and 4.\nAnswer: -2.74089127871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*k + 29 = 0, -5*y + 23 = -0*y - 2*k. Let r(u) = 3 - y*u - u - 3. Let a(p) = p. Give a(r(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24390504 divided by -3048813.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 177 - 73 = -316 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t - 69*t = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:01 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (315\/(-18) - -18)\/(5\/26)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2570036 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 49. Let w = -4 - 1. Let y be (-18)\/w*(-3 - -8). Calculate the greatest common divisor of y and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*s**5 - 457*s**3*w**2 - 55*s**2*w**2 + 2*s**2 + 3*s*w - 82*w**2 wrt s.\nAnswer: 6000*s**2 - 2742*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 119*q**4 + 2*q**3 - 103 wrt q?\nAnswer: 476*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**2 - 7*k - 2. Let n(j) = 7*j**2 - 7*j - 2. Let i(x) = 6*b(x) - 5*n(x). What is the remainder when 202 is divided by i(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 7. Let f(t) = 6*t + 45. Let a(r) = 2*f(r) + 13*j(r). Give a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -2, 0 in increasing order.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 783 by 261.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3444 * 0.6\nAnswer: -2066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 32.99921. What is l rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 677\/680 - -11\/85. Let v(z) be the first derivative of 0*z + 7 - 1\/24*z**6 + z**3 + 1\/8*z**4 - g*z**2 - 1\/5*z**5. Let v(r) = 0. What is r?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/505? (a) 3 (b) 0.5 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -27467?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 351*u**2 + 361*u**2 - 4.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 34 - 6. Suppose -3*j + 21 = -2*j - 2*a, 0 = 4*j - a - 84. Let t = j + k. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/4 + 62511*p\/2 - 562356 = 0.\nAnswer: 18, 41656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/7 + 668*b**2\/7 - 20998*b\/7 + 20332\/7 = 0. What is b?\nAnswer: 1, 34, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8975 (base 10) to base 9.\nAnswer: -13272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -559 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5805, -557, -5.\nAnswer: -5805, -557, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r*(r\/r**(3\/10))\/r)**(-7)*((r**(1\/4)\/r)\/r)\/(r**7*r)*r*r**(-2\/7)*((r*r\/(((r\/(r**(1\/11)\/r))\/r*r)\/r))\/r)\/r*r assuming r is positive.\nAnswer: r**(-170329\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48392 and 3496?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/4)*x*x\/x**(4\/9)*x*x)**15 assuming x is positive.\nAnswer: x**(865\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2322 + 6342. What is b rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 427522*g\/7 + 4275020\/7.\nAnswer: 2*(g - 213751)*(g - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16904*o + 16906*o = -2*f + 30, -3*f = 2*o - 44 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - r = -3, -2*d - 6 = -3*d - r. Let j(g) = 3*g**2 - 11*g - 11. Let b be j(-1). Solve -4*c = -b - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113386 and 14014.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) - (-2700)\/105. Let j(b) = 14*b - 5. Let h be j(5). What is the highest common divisor of h and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - b - 14 = 0, -6*n - 4*b - 23 = -7*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-20)\/2250*1*(-30)\/(-36)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 4*q + 102 = 15*j + 35, j + 2*q + 35 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5679 - 2*a - 5679. Let g(m) = 11*m**2 - 4*m. Determine g(q(n)).\nAnswer: 44*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21544543 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from sccmmucmmpu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 107 + 258. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/15)\/((-14)\/35). Suppose 0*u = w*u - 192. Calculate the remainder when u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-34)\/(w**(-16\/7)*w*w))**46 assuming w is positive.\nAnswer: w**(-10856\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(((p*p*p**(-2\/5))\/p)\/p)))**(-28) assuming p is positive.\nAnswer: p**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000507674817 rounded to 6 decimal places?\nAnswer: 0.000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 divided by 1?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g - 261 + 106 - 21 + 40*g - g**2. Let h be a(7). Let m(r) = 29*r + 2. Give m(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489 = -10*m + 1519 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**6 + 15*h**5 + 7*h**2. Let i(d) = -14*d**6 + 23*d**5 + 11*d**2. Let l(w) = -5*i(w) + 8*n(w). What is the third derivative of l(q) wrt q?\nAnswer: -240*q**3 + 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42134111 (base 5) to base 13\nAnswer: c2c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 425646534 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/20 - 7*j**4\/12 - 7*j**3\/6 - 3*j**2 + 2*j. Let o be m(-6). Is -4\/7 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i)*(4*i**3 + 4*i - 4*i)*(-84 + 50 + 332)*(i + 4 - 4).\nAnswer: 2384*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002012102 (base 3) in base 14?\nAnswer: 18165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 37. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 8392714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 128*b**2 + 2. Let t be j(64). Solve 1 = -t*s - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8.43. What is q rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-3) - 1\/(-3). Suppose 819 = -3012*h + 3051*h. What is the second derivative of -20*l + 152*l**2 - 152*l**y + h*l**5 wrt l?\nAnswer: 420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -9?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(18\/33) + 0. Suppose -7*p - 4 = -a. Which is smaller: p or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a81 + -73b9?\nAnswer: -2738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6 - 9)*12\/(-21)*50\/1400.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -5\/17 (c) -3 (d) -3\/8 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169626 and 0.387.\nAnswer: -65645.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -101 + (53 - 53 - (-2 + 18))\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 times -6454\nAnswer: 14198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12264, -12266, -12258, -12234, -12188, -12114?\n\"Answer: j**3 - j**2 - 6*j - 12258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 + 203. Sort 3, l, -2, 0 in ascending order.\nAnswer: -2, 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114692.\nAnswer: 2, 3, 19, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -21*o**2 + 99*o - 15. Let w be 42\/35*(-15)\/(-9). Let y(m) = -3*m**2 + 14*m - 2. Let n(u) = w*b(u) - 15*y(u). Factor n(d).\nAnswer: 3*d*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253030 (base 6) in base 4?\nAnswer: -11202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/397029 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2312151869 to the nearest integer?\nAnswer: 48085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*g - 8)*(3*g - 3*g - 2*g) - g + g - 2*g**2 + (-1 - 4*g + 1)*(-2 + 2*g + 2).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/5 + (-648)\/540. Let x(k) = -k. Let o(y) = 4*y + 3*y**2 - 3*y - 5*y**2. Give q*x(n) - o(n).\nAnswer: 2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*r - 1949812, 165 = -4*n + 133. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.321536ng?\nAnswer: 0.000000000000007321536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*s = 25, 15 - 48 = -j + 5*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 m when four letters picked without replacement from tmttpmppompppm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4487*d + 403. What are the prime factors of f(14)?\nAnswer: 191, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 1, w: 4, p: 2, o: 3}. Give prob of sequence pm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a. Let i(k) = 2*k. Let h(v) = -2*c(v) - 5*i(v). Let m(z) be the first derivative of z**2 - 1. What is h(m(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 16*a**4 + 10*a**4 - 5*a**4 - 3 - 7*a**4 + 2*a**3 as d*a**2 + i*a**4 + k + q*a + m*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 2. Suppose n - 6 = -b. Solve 5*q = n*t - 35, 2*q - 3*t = q - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 8*h**2 - 5*h + h**3 + 7*h. Suppose 18*i + 1107 = 1233. Determine v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 45 = -6*x. Solve x*l = -3*t + 18, 2*t + 4*l + l = 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 113282282756?\nAnswer: -113282282752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0*v**2 + 2*v + v**2 - 3*v. Let s(j) = 8*j**2 - 6*j. Let y be 54\/8 - (-21)\/(-28). Give y*q(o) - s(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 170*q + 0 + 255*q as o + y*q and give y.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*j + 662676, 1656697 = 5*v - 8*j + 11*j. Suppose -17*b = -37*b + v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 306. Let h(c) = -c + 152. Determine -2*g(k) + 5*h(k).\nAnswer: -k + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 6. Let x be m(-5). Let c = 167 + -165. Solve -x = -6*d + c*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3789 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, h: 14}. What is prob of sequence yh?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + g + 21 + 9 = 0, 5*g - 106 = -3*o. Calculate the greatest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 181 = -163. List the prime factors of (-2 - 124\/v)\/(18\/351).\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -22044967?\nAnswer: -2\/22044967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 + 1 = 0. Calculate the greatest common divisor of 117 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, y: 9}. What is prob of picking 3 y and 1 i?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -568 - 107. Suppose q - 107 = 4*y + 2, 0 = 2*q - y - i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j**2 + 1 - 2 + 25*j**2 + 17*j**2 + j. Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7424\/290 - (37 + -12))*15\/(-8).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -35*o**4\/4 - 13. Let i be y(1). Let n = i - -53. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1718, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44405 divided by -44405?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 10617256 = 1670311 - 2197117. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241211216 (base 7) to base 13.\nAnswer: 3145577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 1242341?\nAnswer: -111810.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5278\/1093 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 5*h - 5*c + 5, 5*c + 7 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*y + 13. Let q = y + -23. Let h(g) = g**2 - 6*g + 5. Let j be h(5). Which is greater: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/245 and -74\/189385.\nAnswer: 189385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3354686054 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*l - 720, -2*m + 47*l + 360 = 43*l. Calculate the least common multiple of 231 and m.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 3087114?\nAnswer: 3087117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.51 - 0.39. Round f to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:20 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*36\/(-3). Find the third derivative of d**n - 8*d**3 + 34*d**2 + 10*d**2 + 0*d**4 + 54*d**2 wrt d.\nAnswer: 24*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*k - 3, -2*x + 3*x - 3*k = -3. Let f(h) = h - 5. Let o(p) = 1. Let d(a) = -f(a) - 3*o(a). Give d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Suppose h*b - n - 14 = -2*n, 4*b = n + 4. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 256623437.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 11*h**2 + 25*h - 10. Suppose -4*g + 7 = -9, -4*g = -c - 29. Let k be v(c). Solve w - 4*a - k = -3*a, -5*a = 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337580 divided by 67516.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7410 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1873 and -537.\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/26*41\/(-41)*2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(960\/210)*4*1\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 57*x - 3. Let k(u) = -6*u - 1. Determine -3*c(v) + 6*k(v).\nAnswer: -207*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 14*h**2 - h - 4. Determine r(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 5 + -7 - -249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2. Let y(i) be the third derivative of i**5\/60 + 9*i**4\/4 + 26*i**2 + 7. Determine b(y(n)).\nAnswer: 6*n**4 + 648*n**3 + 17496*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**2 - 4*v + 7*v - 3*v.\nAnswer: -43*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 3*p + 22. Let i(l) = 3*l**2 - 6*l + 22. Let a(w) = 3*i(w) - 4*o(w). Let q be a(-5). Put 5, -2, q in ascending order.\nAnswer: -2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 37 - ((-7)\/14)\/((-2)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/5 (c) 17846\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 10:46 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/3))**(-32)\/(u*(u**(-18\/11)\/u)\/u)**(-6\/31))**(2\/59) assuming u is positive.\nAnswer: u**(-88340\/60357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 569\/612 - 25\/36. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812 + 1132 - 1944 - 5*q**3 + 3*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 711 - 177 = 0. Let i = 3\/11911 + -4240331\/59555. Let s = i - x. Calculate the common denominator of s and 89\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*o**3 + 8*o**2 + 934*o + 132890180 with respect to o.\nAnswer: -66*o**2 + 16*o + 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 17. List the prime factors of (2 - 19*y) + (-6)\/2.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -1, 13, -2, 2\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*s + 18 = 2*m, 3*m = s + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 63*u**2 + 11*u. Let i(o) = -o. Determine a(i(p)).\nAnswer: 63*p**2 - 11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.4. Let h be (-6)\/1 - 12*(-6)\/90. Suppose 0 = 2*o + 14 - 16. Which is the fourth smallest value? (a) t (b) h (c) o (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04513 + -197284061.\nAnswer: -197284060.95487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 318.69 - 324. Let v = k - -0.31. Let f = 5.18 + v. What is f rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/6*9*-1. Suppose -5*y - 5 = -s. What is the first derivative of 0 + 2*w**4 - y + 0*w**4 + 2*w**4 wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s + 10. Let u(i) = -i**2 - 2*i + 3. Let f be u(-4). Let m be n(f). Suppose -13*d = m - 108. Solve q = 4*q - d, 0 = 3*t + 4*q - 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - 18. Let w be (-8)\/7*(m\/8)\/(-3). What is the second derivative of -16*j**4 - 7*j**w + 35*j - 18*j**4 wrt j?\nAnswer: -492*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928061.\nAnswer: 3, 59, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + -3 + (6 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 626346?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - -1 - (-1463 + 1288)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + 63. Let x be -3*(-10)\/4*2. What is the highest common divisor of p and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22067*m*n - 5710*n - 3 wrt m?\nAnswer: -22067*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -12 - -17 - (16 - (-16 + 20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/7, 25, 88?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*n - 7*n + 22*n + 269 + (-n + n + 4*n)*(5 - 2 - 4).\nAnswer: -5*n + 269","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -1 - (-1089)\/9. Suppose 0 = 3*j - j + l. Let t = j + 83. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1004829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32681836 divided by -151.\nAnswer: 216436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (112\/(-88))\/7 + 1111712\/44.\nAnswer: 2, 3, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1.5057\nAnswer: 0.60228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*q**3 - 37*q**3 + 783 - 28*q**3 - 7*q - 783.\nAnswer: 41*q**3 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1.8, -0.008, 16, 2 in ascending order.\nAnswer: -4, -0.008, 1.8, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 15, -2*t - i + 0*i = -1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 25 = -7*g. Suppose -22 = 2*m + 4*r, 2*m = -g*r + 5 - 31. Which is greater: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32457231 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52964569553 - -303.\nAnswer: -52964569250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 6\/(-3)*-1. Suppose -4 = s - y*s. Let j(l) = l + s*l - l. Let f(w) = 7*w**2. What is j(f(v))?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-20) - 4\/30*-3. Suppose y = g - 3, -i = -0*i - g - 83. What is the third derivative of -3*m**6 + i*m**5 - m**2 - 86*m**5 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-123899\nAnswer: 867293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 13. Let i be ((-75)\/(-20))\/((-3)\/(-8)). Let d be q(i). Find the third derivative of -13*c**d + 6*c**2 - 2*c + 2*c + 2*c**3 wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -615, -563, -507, -453, -407, -375?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/7 (b) 2\/5 (c) -10\/31 (d) -4\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 5267143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56.2 + -57. Let d = -0.9 - q. Let y be 2 - -1 - 46\/14. Which is the nearest to d? (a) -5 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38391 and 402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -5*l + 477. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = 2. Let b = -345 + 557. Let x = -216 + b. Put h, x, 25\/6 in decreasing order.\nAnswer: 25\/6, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {x: 2, e: 4, h: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287.862659202 minus -0.2?\nAnswer: 1288.062659202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**3 + 537*f - 7*f**3 + 5*f**2 - 538*f + 5. Suppose 24 = 4*h + 5*m + 8, -2*h + 8 = 5*m. Calculate the remainder when 31 is divided by q(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 17*s - 12. Let c(b) = b**2 - b. Let k(h) = 6*c(h) + z(h). What is the remainder when k(5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12*a + 23. Let f be n(2). Is -83 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtb when three letters picked without replacement from tyxjbbzyxyb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90624 and 2478.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12909 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.792611 * -4\nAnswer: 31.170444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 12*p + 24*p = 37*p - 11, 2*p - 10 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -183, -72, -5, 6, -51?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 195521257 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 9 = 4*v, -38*a - 14*v + 31*v = 21*v - 178 - 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11790 by -30.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, -3\/4, 2\/53, -4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161951322 + -512324228. Let o = p + 350372579.999738. Let g = o - -326. Round g to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 + 0*i**3 + 1\/80*i**6 + 1\/96*i**4 + 2*i**2 + 0*i - 1\/210*i**7 + 1\/1344*i**8 - 1\/60*i**5. Factor n(u).\nAnswer: u*(u - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:19 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-5)\/20 + 5445\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meimiueieoeeememmmm. Give prob of picking 1 o and 1 m.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1686*s - 45093 = 61125 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**5\/10 - o**4\/12 + o**3\/6 + 3*o. Let v be u(1). Suppose -l = -v + 1. Are l and 1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g - 43809 - 19091 = 0. What is the remainder when g is divided by 249?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + n + 4*n)*(-1 - 2 + 1) + n + n - 3*n + (-6*n + 4*n - n)*(1 - 1 - 9))*(5*n**2 - 33*n + 33*n).\nAnswer: 110*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times 67119\nAnswer: 21478.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-169) - (-123)\/39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-9 - -14) + -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131? (a) 6\/7 (b) 0.2 (c) -2\/5 (d) -3\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = 9*r - 4*p - 338, 10*p - 16 = 2*r + 42 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from bdddbvidbbdtd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (711 - 744) + 3 + 1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9 - 64*z + 4 + 409*z**2 - 418*z**2. Let b be j(-7). Solve -19*t + b*t = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26087 - 26080.1. Which is the nearest to -5? (a) i (b) -1\/5 (c) -4\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5\/7 + 3*m**4\/7 - 9*m**3\/7 - 3*m**2\/7 + 6*m\/7 = 0 for m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**9\/3024 - i**5\/60 + i**3\/2 + i. Let j(c) be the second derivative of n(c). Find the second derivative of j(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/12 and -103\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. Let v be -1*(-2)\/((-2)\/(-9)). Let b be -3*(-1 - (-8)\/v). Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.009, 2\/3, 4\/5?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*-1 - (4 - 5). Let u(l) = -l. Let z(q) = -26*q - 6. Let x(c) = -10*u(c) + z(c). Is x(w) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h + 10 + 9 - 20 - 153*h**4 wrt h?\nAnswer: -1836*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y**2. Let m = 0 - -1. Let b = -198 + 199. Let d(q) = -m - 22*q + b + 24*q. Determine d(o(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457464*d - 1382 - 512848*d + 71997*d + 1382.\nAnswer: -898315*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6066 and 73929038?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*14\/105*30\/4 + 7. Which is the closest to o? (a) -0.04 (b) 6 (c) 0.2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1221 + 8574\/7. Calculate the common denominator of z and 8\/(-24) + (-45)\/(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 34 = 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -108*v**2 + 1723*v + 81. Determine p(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037709 - 0.091?\nAnswer: -0.128709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 2*g + 16, -5*l + 3*g + 19 = 0. Suppose -u - 3*i = -32, -l*u - 2*i + 110 = u. What is the lowest common multiple of 2 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -39 + 28 + -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30192135031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*r**4 + 962*r**3 - 77278 wrt r?\nAnswer: 124*r**3 + 2886*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 195 + 15 = 5*l, 20 = 4*b. Let f = l + 55. What is the remainder when 48 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*b - 4, -3*a + 10 = 3*b + b. What is the remainder when 198\/b*(9 + -7) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, 11.249, 0.1, 0.2 in descending order.\nAnswer: 11.249, 3, 0.2, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190867 - 1050549 = -44*o. Let m = o + -13669. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 374, 743, 1256, 1913, 2714, 3659?\nAnswer: 4748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 < -4985\/611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35\/((-1050)\/(-43704)) - (-2)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104676799479 - -0.2\nAnswer: -104676799478.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.98 - -0.62. Round g to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 4008.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2 - 2*w - 2. Let p(k) = -3*k - 21. Let s be p(-8). Calculate t(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdgd when four letters picked without replacement from {w: 1, g: 3, x: 1, v: 3, d: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40\/3 + -13. Let t(r) be the first derivative of x*r**3 - 1\/2*r**2 - 3 - 6*r. Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -501*j**2\/2 + 480*j - 374. Differentiate i(b) wrt b.\nAnswer: -501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 0)\/(2\/(-3)). Let x be 0 + (32\/(-55) - 12\/(-66)). Which is the nearest to 0.1? (a) -0.1 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 250.9527772 - -2.0522428. Let x = f - 253. Round x to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -3 (b) 2\/11 (c) 16 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/60 + v**5\/18 + v**4\/18 - 2*v**2 - 4*v. Let y(s) be the first derivative of o(s). Factor y(x).\nAnswer: 2*x*(x + 1)*(3*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*r**4 + 0 - 2\/3*r**2 - 1\/3*r**3 + 0*r = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 8, y: 1, c: 9}. Give prob of sequence cwy.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*p = p - 342, 5*p = -t + 81. Let n(z) = -z**2 + 11*z - 1. Let h be n(6). Let b = h - 6. Calculate the remainder when t is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -3*d**4\/4 - 13*d**3 - 72*d**2 - 108*d + 1. Suppose l(t) = 0. Calculate t.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.8, -63 in decreasing order.\nAnswer: 20, 0.8, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 + 5 + 0 - 3*z - 3 + z in the form r + b*z + v*z**2 + j*z**3 + l*z**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-six fifths of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 436.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + -4 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -957 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(-4*sqrt(294) - sqrt(294)) - sqrt(294)) + sqrt(294))\/(-4*(sqrt(2) + (sqrt(2) - (sqrt(2) - 4*sqrt(16)\/sqrt(8))))).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from shhshhssss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15*y + 163. Give b(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(125) + 2 + sqrt(125) + 0 + sqrt(125) + 5 + (-1*sqrt(125) - sqrt(125)))*-6)**2)*3.\nAnswer: 7560*sqrt(5) + 18801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8338 smaller than 8135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 13902?\nAnswer: -13905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-123))\/(2 + (-192)\/99)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.979 - 0.311. Let o = -1.39 - p. Which is the closest to o? (a) -10 (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(6\/(-36)). Suppose a + 183 = 5*t - 0*a, -t + z*a + 45 = 0. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/24)\/(3\/16)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*d - 2*d. Let i be d - (1 + (3 - 5)). Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*c + 720, 2*v - 720 = -c - 4*c. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*g - 202 + 204, -3*j - 18 + 21 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 5*a**2 - a**2)*(21 - 16 + 33 + a).\nAnswer: 2*a**3 + 76*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*b - 466*b - 22 = 3*y, 5*b = -y - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 + 10291035*b - 10291032 = 0.\nAnswer: 1, 3430344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)\/v*((v\/((v**(-2\/9)\/v*v)\/v*v))\/v)\/v)**(-3)\/(((v\/v**5)\/(v\/(v*v**(2\/9)\/v)))\/(v*v**(-1\/13)*v\/v**(-5))) assuming v is positive.\nAnswer: v**(14653\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 7 + 17 = 10*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*q + 5. Let b = 7 + -6. Let g be (11 - (2 + 1))\/b. Solve 0*p - g = -c + q*p, 4*p = 5*c - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -408 by 17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Let m be (-52)\/6500*-25*25. Find r such that -3\/5*r - 3\/5*r**m + 0*r**2 + 6\/5*r**z + 0 + 0*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12660 and 16?\nAnswer: 50640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154 - -12?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2550, 10194, 22934, 40770, 63702?\nAnswer: 91730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, d: 1, s: 1, r: 5}. What is prob of sequence dr?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191608 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*n = -1554*n + 580*n - 1268*n - 112168 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Solve g + 6 = k, -g + 2 = -3*k - n*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let d(n) be the third derivative of 17*n**5\/60 - 17*n**2. Give x(d(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + g**2 - 4*g**3 + g - 2*g + 2*g + 8*g**4 to a*g**2 + m*g + d + p*g**4 + h*g**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918 = 4*f + 2*i, 5*f + 34*i - 1146 = 32*i. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46723 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-21)\/((-693)\/(-110))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -39, -27, 3, 185, -3, 6 in descending order.\nAnswer: 185, 6, 3, -3, -6, -27, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 386457 divided by -128819\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-55) + (-11)\/(-5). Let x = k + -12. Let v = 15 + x. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206580 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 84 = -2*l. Let d be (-1 + 3)\/(l + 112\/(-21)). Suppose 4*c - 1094 = d*h, 204 = -5*c + 2*h + 1568. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224313 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4847, -9622, -14399, -19178, -23959?\n\"Answer: -u**2 - 4772*u - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 - 2*o**2 + 1. Let w be z(1). Let t = 11 - 26. Let a = t + 8. Sort a, w, 2 in increasing order.\nAnswer: a, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 - 63 + 264319*u**3 - 132161*u**3 - 132159*u**3 - u to h*u**3 + j*u**2 + c + n*u and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8)*(-450)\/27\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.4 + 1.2?\nAnswer: -56.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-126)\/105)\/((-2)\/20). Suppose 5*f + 3*l - 8*l = 225, 0 = 4*l + j. What is the greatest common factor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19092 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 271172159 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 198 - 177 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -30*t + 135, 0*t - 14*t + 3*g + 169 = -18*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101401212 (base 5) in base 12?\nAnswer: 182530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15144 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by -4?\nAnswer: -297\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59833, 119714, 179635, 239596, 299597, 359638, 419719?\n\"Answer: 20*d**2 + 59821*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 + 63.5?\nAnswer: 217.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3 + 5*c**2 + c**3 + c + 0*c**3 + c. Let x(j) = j**2 - 6*j + 5. Let s be x(4). What are the prime factors of k(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*i + 26 - 0, 0 = -4*i + 5*d + 28. Let a be i\/(-9) - 11\/(-9). Suppose -f + 10 - a = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**8*b*b**(1\/15))\/(b**3)**48 assuming b is positive.\nAnswer: b**(-2009\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -4*-4*sqrt(77)) + sqrt(77) - sqrt(77))*1*-2)\/((sqrt(1584) - (sqrt(1584) - 2*sqrt(1584)*3))*-2).\nAnswer: -5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/10, -1, 33444, -3\/5.\nAnswer: -1, -7\/10, -3\/5, 33444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = 95*v - 334 - 319 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2531477065 to three decimal places.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202311 - -341023?\nAnswer: 133212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 4 (c) 0.2 (d) -4350 (e) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17148897 to the nearest one hundred thousand.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5677\/4 or 1418?\nAnswer: 1418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -17. Calculate the highest common divisor of 96 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4411.\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -301, -315, -329, -343, -357, -371?\n\"Answer: -14*z - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 3}. Give prob of picking 3 l and 1 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-1)\/(4\/10 - 148\/320).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -28*r. Let b(q) = -10*q - 12*q + 30*q. Calculate y(b(h)).\nAnswer: -224*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11205866.\nAnswer: 2, 7, 800419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6400\/(-10) + 0\/((-3)\/(-3)). Which is bigger: -639 or t?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3369, 0.7, 0.166?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441e4 (base 15) to base 16.\nAnswer: -ee3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - c?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*i**5 + 3 + 69*i - 230*i**5 - 69*i + (-3*i + 5*i + 2*i)*(i**4 + 4*i**4 - 6*i**4).\nAnswer: -236*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -277?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 81.9. Let p = -10.5 + h. Let y = 2 - 0. What is the biggest value in y, p, -2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4448 - 4452. Sort i, 4, -51 in increasing order.\nAnswer: -51, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 3\/1)\/(-1*3). Suppose 3*c + 0*c + 165 = 3*p, -p - 3*c + 63 = m. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580.205 centuries in years?\nAnswer: 258020.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 137*t + 430. What is the remainder when 140 is divided by v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 2*l. Let a be b(5). Let q = 324\/5 - a. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.369547 centuries in decades?\nAnswer: 13.69547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:46 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23674 + 23674.0000042199. What is k rounded to 7 decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2946 rounded to 2 dps?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.46 and 7.\nAnswer: 3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 13*y - 4. Let k be d(-6). Suppose k*n - 1 - 5 = 0. Solve 2*u - 13 = -n*c, 3*c + 15 = 6*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3221 + 215 = 172*c + 1122 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6005543884.598 - 8335364.402. Let r = 6013879192.99999931 + q. Let d = r + 56. Round d to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133931393?\nAnswer: 53, 59130781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -30\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a4210 - -4?\nAnswer: 1a4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1787389\/111 - -16103. Calculate the common denominator of x and 7\/24.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*c + 62*c - 25*c + c + c - 4*c + (c + 0*c - 3*c)*(1 - 5 + 2) - 2*c + 3*c + 0*c - 2*c + c + 3*c + c - 2*c + 0*c)*(-3*c**3 + 2*c**3 + 3*c**3).\nAnswer: 132*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/363 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -98, -103, -108?\n\"Answer: -5*q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 7*y + 4*y)*(2*y**2 - 2*y**2 + y**4) + 9*y**5 - 6*y**5 - 2*y**5 + (0*y + 4*y - 2*y)*(-3 + 3 - y**4).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-564)\/14946 + (-4)\/(-106).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7203927011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16738 is divided by 237.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(6\/(-224)). Let n = -10 - y. Let a = n + 3. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 329814 - 187814. What is s rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**3 + q**2 + q + 1. Let j be (8\/12)\/(2\/(-3)). Let b be w(j). Let a = b + 33. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25334092981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(425) - (sqrt(425)*-2 + sqrt(425)))**2 + -2*sqrt(272))*-5.\nAnswer: -200*sqrt(17) + 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14675 + -14734. Sort x, -4, 2\/3, 0.07 in descending order.\nAnswer: 2\/3, 0.07, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 2:17 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 5) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 526 + -499. Suppose 3*v = 162 + 84. Suppose -3*j + v = 28. Calculate the highest common divisor of d and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/298 + -24317\/5066. Let k = -62\/17 - v. Calculate the common denominator of 55\/9 and k.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(91)\/(6*(sqrt(7) + (sqrt(7) - sqrt(14)\/sqrt(2)) + sqrt(7))) + ((sqrt(351) - sqrt(351)*-3)\/sqrt(9))\/sqrt(3) + 4)**2.\nAnswer: 98*sqrt(13)\/3 + 33949\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-15 + 2 + 43)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -4 (c) -4\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqodqooo. What is prob of sequence qd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 542140940 divided by 27107047.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 12 = z. Which is the nearest to -2\/9? (a) 2 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7289, -5986, -4679, -3368, -2053, -734?\n\"Answer: 2*m**2 + 1297*m - 8588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64802\/(-9) + 2\/18*2. What is u rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -450 + 879\/2. Let s = h - -32. What is the common denominator of s and 53\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 29 = 5*o - 6, 5 = 3*o + 2*n. Solve 10*k + o = -25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-85))\/((-90)\/2295).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 607, 879, 1149, 1417, 1683, 1947, 2209?\n\"Answer: -q**2 + 275*q + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 38*c**2 - 23*c**2 + c + 0 - 2. Let z be y(-2). What is the greatest common divisor of 98 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 2, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02060015 rounded to four decimal places?\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 289461 = -21480. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1.4695?\nAnswer: -7.3475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 711093.585 + 728.415. Let x = g + -711865.00136. Let n = -43 - x. Round n to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 80 = 2*q, 4*v - 20 = 3*v + 2*q. What is the remainder when 141 + -2*((-289)\/34)\/17 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 950536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrp when three letters picked without replacement from rkrwrrikwkkwwpir.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -232 less than or equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*j + 2)*(44*j + 26 - 48 + 25) to the form q + r*j**2 + d*j and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/3 + 3. Let l be k(2). Let n(q) = 8*q**2 - q - 3. Is n(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3730641*-3.\nAnswer: -11191923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17664 and -0.11.\nAnswer: -0.0194304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 5, -51, -129 in decreasing order.\nAnswer: 5, 3, -3, -51, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/(-10))\/((-12)\/120). Suppose 0*i = -i - 4, 2*t - 2*i = o. Suppose -250 = -t*x + 7*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 5*w, -3844*w + 3848*w = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oohpnfopppoofh.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2847.\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1294\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w + 1. Put 5, -5, w in descending order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b + 5. Let s(c) = 2*c**3 + 27*c**2 + 15*c + 12. Let z be s(-13). Let t = -17 - z. What is the remainder when 37 is divided by o(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2695 - 1659 = 601*k + 21*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let h(z) be the second derivative of 11*z + 0 + 0*z**2 + 8\/3*z**3. What is h(r(i))?\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 29\/2. Which is the smallest value? (a) 5\/3 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6 - 2 - 8 + 15. Let v(k) = -8*k + 4. What is 4*g(p) + v(p)?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - l**3 - l**3 - 3*l + (2*l + 2 - 2)*(2*l**2 - 2*l**2 - 2*l**2).\nAnswer: -8*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 1, e: 3}. What is prob of sequence beee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 - 1. Let u be v(2). Solve u*t + 4 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*b - 14 = 0, 16*b = 17*b - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 5:22 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose 0*u - 5*u = 2*o - 50, 5*o = -s*u - 1. Let n(v) = -v**3 - 27*v**2 + 58*v + 56. Calculate the remainder when n(-29) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 2*g)*(6 - 50*g + 7 - 15) + 2*g**2 + 0*g**2 - 3*g**2.\nAnswer: -51*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 + 22 - 12 - 5 - 2*b**2. Let h(n) be the first derivative of 2*n**3\/3 + 75. Calculate p(h(l)).\nAnswer: 20*l**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/297? (a) 1 (b) 5 (c) -4\/561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007534 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 117117 divided by -3\nAnswer: -39039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.5009 millilitres in litres?\nAnswer: 0.3665009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 - (-4 + 6)) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2175.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(2\/3)\/m)))**(-18\/5)*(m*m*m**(-1\/9)\/m*m*m*m)\/m**(-3\/4) assuming m is positive.\nAnswer: m**(1051\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-2)\/72). List the prime factors of (-80)\/6*f\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzi when three letters picked without replacement from zbiyyb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20761300 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 369859236 to the power of 1\/2, to the nearest integer?\nAnswer: 19232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001398437 rounded to six dps?\nAnswer: -0.001398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1.4 (c) 22 (d) -1\/26 (e) 0.4 (f) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 4*v - 3. Suppose 0*k = -2*k. Suppose i + 1 = -k*i. Let p(h) = -1 + 2 + 22*h - 21*h. What is i*o(m) - 5*p(m)?\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 246, 371?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h + 4. Let n be p(-4). Suppose 5*o - n = o. Suppose -2*m = -4*m + o. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Suppose -2*v + 3*v + 3 = 0, -y*c = 2*v - 2. Let b(t) = -t**2 + 4*t - 3. What is the units digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 628*i + 306*i + 290*i to the form h*i + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*g + 4*g + 5*k, -5*g + 12 = 2*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 3. Let m = 89.000000415 - h. What is m rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/36*(2\/30)\/((-24)\/12).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11 and -13\/4281.\nAnswer: 47091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**2 - 147*j - 276. Suppose 4*u - 20 = -0. Let h(b) = 4*b**2 - 98*b - 184. Let o(y) = u*z(y) - 7*h(y). What is the first derivative of o(x) wrt x?\nAnswer: 4*x - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 136\/7 (b) 4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3240 + -12\nAnswer: 3228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 9*k**5\/160 + 7*k**4\/16 - 17*k**3\/12 + 3*k**2\/2 + k - 2. Factor x(d).\nAnswer: (d + 6)*(3*d - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (7 + -10 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(-4)*5406\/(-510) and 149\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21483?\nAnswer: 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/851 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 91878.02 years?\nAnswer: 91.87802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 360 = -285. What is the common denominator of ((-2)\/4)\/((-6)\/z) and (-6)\/3 - (-93)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:04 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f. Let j(o) = 37089 - 1372*o**2 + 995*o - 37089 - 995*o. Give j(y(g)).\nAnswer: -34300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4309, -4861, -5783, -7075, -8737?\n\"Answer: -185*u**2 + 3*u - 4127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3022)\/16)\/(-1) - 17\/(-136). Calculate the highest common factor of o and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**6\/120 + r**5\/12 - 7*r**4\/24 - r**3\/6 + 9*r**2. Calculate v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/604)\/((-11)\/(-11)))\/((-152)\/(-1216))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 417\/4*p**2 + 49\/4*p**4 + 5 - 41*p - 161\/2*p**3.\nAnswer: (p - 5)*(p - 1)*(7*p - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)*x*x\/(x**(-3)*x)*x\/((((x*x**6)\/x)\/x)\/x)*x*x\/(x**(2\/3)\/x))**14 assuming x is positive.\nAnswer: x**(203\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-16) + (-18)\/(-8). Suppose 337 = 30*g - 1343. Suppose -10 = -3*i + g. Calculate the greatest common divisor of j and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let i(z) be the second derivative of z**3\/2 - 3*z**2\/2 + 465*z. Determine i(w(o)).\nAnswer: -3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21036612 (base 7) in base 12?\nAnswer: -716963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 2*t + 47 = 0, -3*u + 2*t + 1 = -3*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59595 is divided by 1104.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 7. Calculate r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = 34*o - 20*o. Solve -47*k - 8 = -o*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from {k: 7, e: 1, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -98*x - 71. Let i(j) = -294*j - 198. Determine 5*i(k) - 14*y(k).\nAnswer: -98*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 2 = -9*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 25 = -u. Suppose -u*v = -v + 23296. Let g = v - 34176. Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*k - 1, -5*l - 496 + 531 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751 = 2*m + 2*n + 153, m + 5*n = 319. Is 49 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -99)\/18*(4 + (-174)\/45).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 91 = -18*y. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54875210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -867321349*t**2 + t + 867321349*t**2 + 2*t**3.\nAnswer: 2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 410*b + 26. Let q(f) = 411*f + 27. Let i(v) = 4*l(v) - 5*q(v). Is 83 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 3 + 3 + (f + 0 + 0)*(5*f - f - 3*f) + 3*f**2 - f**2 - 4*f**2 + f**2 + 2*f**2 - 2*f**2 + (0 + 1 + 1)*(10898 - 10898 - 4*f - 39*f**2).\nAnswer: -79*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k, 4 + 9 = -m - 5*k. Solve -2*f - 4*y = 14, f = -6*y + m*y - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101172 - 101172.076309. Round k to three dps.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (-120)\/28 + (-550)\/(-14) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1*u*u)\/((u\/u**7*u*u)\/u)*(u*u*u**(2\/3)*u*u)**(1\/19))\/(u**(-3\/4)*u*u**(-2\/9)*(u**(-2\/7))**(-10\/7)) assuming u is positive.\nAnswer: u**(295265\/33516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 16 = -11. Find the second derivative of 88*n**3 - 89*n**k + 11*n**2 - 7*n - 2*n**2 + 33*n wrt n.\nAnswer: -6*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-68)\/(-70) + (-14)\/35. Let s = -245 + 203. Let n = s - -124\/3. Which is the smallest value? (a) g (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -39 - b**2 + 25 - 32. Let u = 3 + 4. Let v(h) = -h. Determine u*v(n) - 2*r(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 - 49152*k**2 - 540140*k + 589296 = 0. Calculate k.\nAnswer: -12277, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, e: 1, a: 2, b: 6, o: 2}. Give prob of sequence aeb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 80*t**2 - 237*t + 478. Determine h(77).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 405939434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5133.635 millennia?\nAnswer: 61603620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {z: 4, m: 3, t: 1, e: 1, y: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.657037 milligrams in tonnes?\nAnswer: 0.000000006657037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/2)\/((-2)\/20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 5. Let a be z(-4). Suppose a = -w + 4*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 28718800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 - 2*j**2 - 2*j**2 + (3*j + 3*j - 5*j)*(5*j - 2*j - 4*j) - 3 + 2*j**2 + 3 + 20*j**2 - 263*j + 263*j.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 129700, 0.3, 1\/3, 1?\nAnswer: 129700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021000121112 (base 3) in base 14?\nAnswer: 331578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + 2 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 499928.\nAnswer: -499928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**2 - 88 - 387*j + 387*j wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.92 and -1072717.\nAnswer: -986899.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30826050, -30826310, -30826750, -30827376, -30828194, -30829210, -30830430, -30831860?\n\"Answer: -t**3 - 84*t**2 - t - 30825964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2433264143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 61. Let d = -0.2 - 0.8. What is the third biggest value in w, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3008?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*t + 3*t. Let o be 0\/(-3 - 6) + 86\/2. Suppose t*q + o = 14*q. Calculate the remainder when 126 is divided by q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.69 + -2.69. What is the smallest value in d, 2\/19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/8*-107)\/(9\/(-36))?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1514181\/7 or -216312?\nAnswer: -216312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 106*b - 639. Give j(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) + 1 + 1 + sqrt(1280) + 2 - (0 + sqrt(500) + 1 + -4))**2.\nAnswer: 308*sqrt(5) + 2469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1411 divided by 457.\nAnswer: 1411\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10025 (base 6) in base 14?\nAnswer: -69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 199*b - 42. Does 21 divide k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Let h = 0.3 + -0.2. Let k(t) = t. Let w be k(2). Which is the nearest to w? (a) h (b) q (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562022 is divided by 6240.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(175)*3 + sqrt(175)))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 52*x**4 - 136*x**3 - 120*x**2 + 396*x + 324 = 0.\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-270)*-6 - (-59)\/5. Solve -5*c + b = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8836584734 + 363.\nAnswer: 361.1163415266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/3))**15\/(w*w**(1\/3))**(4\/3) assuming w is positive.\nAnswer: w**(344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560693, 2242809, 5046325, 8971235, 14017533, 20185213?\nAnswer: 27474269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5888 and 2024.\nAnswer: 64768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(72\/55))\/(10\/(-4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 807 and 3649.\nAnswer: 2944743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 670930*z**2\/3 - 56266705750*z\/3 - 281350302250\/3.\nAnswer: -2*(z - 167735)**2*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (552 - 539) + (2 - (1 - 0)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 3. Let d be h(-3). Suppose -j + 4*k = 0, -3*k + 33 - 3 = 3*j. Find the first derivative of -d - 7*g**2 + j - 6 wrt g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 6*m - 4. Let q be a(-4). Suppose 0 = -4*r + q*t - 4, 3*r + 4*t = -0*t - 24. List the prime factors of (r\/16*2)\/((-2)\/704).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 2:01 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 5. Let x = -75 - -74. Let h(m) = -1. Give x*l(k) + 5*h(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 5. What is the units digit of ((-282)\/((-12)\/d))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155293549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/129707 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -55. Let q(i) = 5*i + 29 - d. Let u(b) = -19*b. Calculate q(u(g)).\nAnswer: -95*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {r: 1, m: 9, d: 1, a: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, 42, 1\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55982\/5 + 11308. Let s = 112 - r. What is the second smallest value in s, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13074 by 4.\nAnswer: 6537\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639736.\nAnswer: 2, 79967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 = -3*i, -6*i + 4*v = -4*i - 4. Is 662*(-2 + -2)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + (2 - -1) + 0. Solve 0 = 6*f - 2*f - n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3280*t*v*y**3 + 757*t*v*y + 51*v*y**3 + 6611*v + 51*y**3 wrt t.\nAnswer: 3280*v*y**3 + 757*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344 - -344.5. Let a be ((-63)\/12)\/(6\/16). Let g = -6 - a. What is the second smallest value in 0.4, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.349 * 6.\nAnswer: 2.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 10*r**2 - 17*r - 79. Calculate l(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 119\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9469 and -849?\nAnswer: -3350.9181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/9*6\/4. Suppose -4*s = y - 19, 0 = -5*s + 4 + b. Suppose l + 2*t = 26 - y, 2*l - 30 = 4*t. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*(d\/((d\/(d*d**(-1\/3)))\/d))\/d*d*d*d*d**(1\/4)*(d*d\/d**(-6\/5)*d)\/d*d*d*d**(2\/13)*d assuming d is positive.\nAnswer: d**(9571\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77952036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) 16 (c) -77\/16 (d) -0.1 (e) 1 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:42 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -88*a + 2967. Calculate l(27).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3c51c (base 13) to base 4\nAnswer: 123210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 928476. Let z = 837902 - q. Let j = z + -925783. Round j to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-19)*(y*y\/y**(-32))\/y*y*(y**(-16))**(6\/17) assuming y is positive.\nAnswer: y**(822\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-6))\/3 - -2. Suppose 17 = 5*d + 4*l, -3*d + 2*l = -g*l + 3. Sort 4, 2, d, 5.\nAnswer: d, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*d - 35, d - 2*g = -4*g + 28. Suppose 0 = -4*w + 218 - d. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 12*q**2 - 183*q - 7*q**2 + 136*q + 2 to v*q**2 + k*q + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*(sqrt(1573) + -1) - 3*(sqrt(1573) + -1 - sqrt(1573)))*4)**2*-1.\nAnswer: -101248 + 4224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*g = 80*g + 2*c + 6, c - 1 = 0. Sort g, -0.1, 1\/5, -2\/7, 3\/11 in decreasing order.\nAnswer: g, 3\/11, 1\/5, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}