diff --git "a/data/dm_maths/full_data_1/2061_11255.jsonl" "b/data/dm_maths/full_data_1/2061_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2061_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify u**(-13)*u*u*u**(-2\/15) assuming u is positive.\nAnswer: u**(-167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-10))\/(4\/10). Suppose -b*g - 3 = -23. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-624)\/40 - 4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4328369 is divided by 188189.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -51*w - 1. Let b(k) be the third derivative of 77*k**4\/12 + 2*k**3\/3 - 719*k**2 - 2. Give -2*b(r) - 7*s(r).\nAnswer: 49*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22230566 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*g - 19 - 22, 0 = -4*w - 3*g - 40. Let v = -2.3 + 2.37. Is w at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -3, -329, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(3 - 12\/(-16)). Let q be 112\/21*z\/4. Solve b + b = 5*g + 25, q = -4*g - 2*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297621 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**2 - b**4 - 4\/5*b**5 + 8\/3*b**3 - 4*b + 1\/3*b**6 + 5. Let y(u) = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684816 divided by -14267.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 6:43 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -34000 (base 10) in base 12?\nAnswer: -17814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.169 (b) 3\/8 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -809 - -11339\/14. Calculate the common denominator of -59\/56 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2907873783475\/177315684 - -2\/14776307. Let h = -16411 - d. Let a = 2424 + -53249\/22. Calculate the common denominator of a and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 - 6581*g**4\/2 + 5812855*g**3\/2 + 18113143441*g**2\/2 - 9065274556*g - 18118936558 = 0. What is g?\nAnswer: -1198, -1, 2, 3889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 - 9*u + 6. Let h be i(7). Let m be -4 - h - (-1 + 2). What is the highest common divisor of 2 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0 - 2*-1. Let o = -39.05 - -1.55. Let v = 38 + o. Sort 2\/15, u, v in decreasing order.\nAnswer: u, v, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83988016?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/504949 or 0?\nAnswer: -9\/504949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 26 = 3*m - 28*h, 0 = -3*m - 3*h + 36. Suppose -m*p - 100 = -8*p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 349, 347, 345, 343, 341?\n\"Answer: -2*d + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o**2 - 7*o + 13. What is the tens digit of a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + 2*u**4 - 6*u**4 + (u**3 + 5*u**3 - 3*u**3)*(37 - u - 4*u + 3*u).\nAnswer: -8*u**4 + 111*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1746273*v + 1054887*v + 212729*v - 5305780*v.\nAnswer: -5784437*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.55 take away 57605027?\nAnswer: -57604789.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624 and 24.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 4*t - 4 = 0, -4*n - t + 50 = 0. Suppose -5*f = 2*f - 63. Calculate the remainder when n is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -615819051, -615819034, -615819007, -615818964, -615818899?\n\"Answer: g**3 - g**2 + 13*g - 615819064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -65200 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 795005, 1590005, 2385005, 3180005, 3975005?\nAnswer: 4770005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 17*w = 2*c + 151, -c = 6. Solve -60 = w*z - 119*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233604 by -7.\nAnswer: 33372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 0*v - 28 = 0. Solve 0 = -5*z + z - v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1195913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 - 7*d**2 + 4*d + 2. Determine w(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 4*l = -331, -1012*l - 55 = 2*b - 1013*l for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9 = 9*l - 6*l, 9 = -2*l - x. Let g be 4*l*2\/(-4). Solve 0 = 2*a + 4*i - 2, -2*a - g*i + i = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8087262 by -2695754.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -254852827, -3 in descending order.\nAnswer: -3, -5, -254852827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - -3*sqrt(300)*-1)\/(sqrt(16)*2*-3) + 5)**2.\nAnswer: 25*sqrt(3)\/3 + 325\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b**3\/7 + 222506572*b**2\/7 - 311509232*b\/7 + 89002640\/7 = 0 for b.\nAnswer: -11125330, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 10*r, -2*z + 8 = -2*r. Are z and 88\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 268667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82747 + -24266. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3171\/(-13590))\/(-1 - 12\/9)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 758.674 + -759. Round k to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmwuukw. What is prob of sequence kq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1872 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11 + 2*g**2 + 2*g - 29 + 39. Calculate a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54708 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**2 + 429*y + 1287. Let x be p(-3). Solve v = -x + 107, 9 = r - 4*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 2\/7 (b) 22 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 519 by 2.\nAnswer: 519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000292700288 rounded to six dps?\nAnswer: -0.000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7956496, -17.\nAnswer: -7956496, -17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5284 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/(-1232) + 82\/7)*2\/(-66)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8992150 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 25972*z**2 + 878556*z + 852588.\nAnswer: 4*(z + 1)*(z + 33)*(z + 6459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - 96\/(-10). Suppose 0 = -2*u - k, -3*m - u = 7 + 19. Put 0.4, m, 4 in decreasing order.\nAnswer: 4, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let q(w) be the first derivative of 0*w - 2\/3*w**3 + 0*w**2 + 5. Calculate q(a(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c = 36*c - 41*c + 2590 for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-380)*(-62)\/((-6448)\/(-780)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 281 + 277, -2*f + 18332 = 4*u. What are the prime factors of u?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6427 = -5*k - s, k - 1629 = -2*s - 340. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqzooomzmmo. Give prob of picking 3 o and 1 m.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 6. Let k be (-66 + 0)\/(t\/9). What is the greatest common divisor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.657 + -0.343. Which is greater: n or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55673, -5, 555\/7?\nAnswer: -55673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73 - 120 - -53) + (-1 - (1 - 4)) + -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h)*(0 - 1 - 3) + 0*h + 4*h - h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 905 = 833 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -24*m + 31. Let x(o) = 9*o - 14. Let b(c) = 2*u(c) + 5*x(c). Let r(a) = a + 3. Calculate 6*b(h) + 17*r(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(1584))*-4)**2.\nAnswer: -3072*sqrt(11) + 101632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -1\/120*d**6 + 6*d**2 + 0 + 0*d + 2\/15*d**5 + 13\/24*d**4 - 1\/6*d**3. Is i(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:09 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26169.16ug to milligrams.\nAnswer: 26.16916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*m = -1, 380*u = 388*u - 2*m + 80 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) - 5\/(-9). Let f = 13 + -18. Which is the closest to g? (a) f (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 12, -21874, 1?\nAnswer: -21874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 33083*p + 8800072. Give v(-266).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 253194190.0001405 + -253194032. Let m = -158 + j. What is m rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 288.1 + -290.1. Which is the closest to 2? (a) -154 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 104202688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 4, z: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 4*l**2 - 2*l + 6. Suppose -4*i + 3*b = -0*b + 22, 14 = -5*i - 3*b. Let o = i + 12. Suppose -c = c - o. What is h(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1190271511 and 4693?\nAnswer: 4693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -868434.6 rounded to the nearest 100?\nAnswer: -868400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111000011010000 (base 2) to base 14.\nAnswer: adb7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*q**4*u**3 - 384*q**4 - 1010*q*u**3 - 4*q*u**2 - q*u wrt q.\nAnswer: -192*q**2*u**3 - 4608*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5823 - 1805?\nAnswer: 4018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/44*(-91)\/(26026\/264).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3 + 4*p - 14. Let j(z) = 8*z**2 - z - 11. What is 4*j(k) + 11*m(k)?\nAnswer: -k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21305409 or 21305410?\nAnswer: 21305409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -0.1, -8, -1\/3, -29, 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36571*0.029.\nAnswer: 1060.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q - 4. Let b be s(-4). Let v be (b + 7)*(-1 + 4). Let r(n) = -n**2 + 10*n - 1. What is the least common multiple of 8 and r(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 22 (c) 0.1 (d) 0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2303\/3 (b) 478 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 424076 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/9 - 8816*o\/3 - 9715232 = 0. Calculate o.\nAnswer: -6612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 46532560.\nAnswer: 232662800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 1. Let h(i) = -2*i - 1. Let g be ((-4)\/10)\/((-6)\/(-30)). Determine g*l(a) + 3*h(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6842780 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 15, 0.2, 0.08, -4.\nAnswer: -4, 0.08, 0.2, 3\/8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5222321 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1036 + -668. Suppose 4*o = 2*o + l. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from vqnvqfvqffoqqq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - -3 - (-4 - 109) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -390*o - 5. Is s(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2716 and 336?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = -3. Is c >= -14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*p - 11, 2*t = p - 3*t + 27 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854096031?\nAnswer: 1854096031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-2))\/(65\/130). Suppose 5*v + 0*v + 3*o = 36, 4*o = 2*v - 4. Is v bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w. Let t(p) = -p - 1. Let l(x) = -6*x - 4. Let z(s) = 3*l(s) - 12*t(s). What is -5*h(v) + 4*z(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 5. Let c(m) = -11*m - 21. Let d(v) = 2*c(v) + 9*j(v). Let w be ((-16)\/4)\/(-1) - 3. Let n(z) = z**2 + 2*z + 6*z - w - 9*z. Give -d(q) - 3*n(q).\nAnswer: -3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1 - 2*g - 7*g + 2. Suppose -5*o = -3*a - 31, -4*a - 4*o + 3*o - 3 = 0. Is m(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38111367 and 777783?\nAnswer: 38111367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (314\/(-785))\/((-2)\/(-70)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3331908*p*t**2 - 4*p*t + 60*p + 3*t**5 + 2*t - 221 wrt t.\nAnswer: -6663816*p + 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 + -0.019.\nAnswer: -450.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34 and (6\/8)\/(2958\/(-6460)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/4255264 and -17\/3088.\nAnswer: 4255264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 41?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + r + 7*r - 6*r. Let c(v) = 2*v**2. What is c(f(h))?\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37080, 37246, 37428, 37632, 37864, 38130?\n\"Answer: a**3 + 2*a**2 + 153*a + 36924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53, -62, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3000, -23778, -79956, -189156, -369000, -637110, -1011108?\n\"Answer: -2937*o**3 - 78*o**2 + 15*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-35))\/(6\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let t(p) = -484*p**2. Calculate k(t(u)).\nAnswer: -468512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -22*l**2 + 2*l. Let b(g) = -3*g. Give b(h(r)).\nAnswer: 66*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -t + 72, 6*w - 4*w + 36 = 4*t. Let a = w - -29. Suppose 4*q = -3*i - a, 5*q + 3*i = -16 + 6. Solve -4*x + 2*k = -10, -k + 0 - q = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5110241 (base 6) to base 11.\nAnswer: -156179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 - 5*z - 1. Let a(j) = 7*j + 10. Let r be a(-2). What is w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -4616?\nAnswer: -4617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34114 - -34116. Let l(n) be the second derivative of 9\/5*n**r + 5*n - 1\/20*n**4 + 0 + 1\/2*n**3. Determine h, given that l(h) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + n + 23*n**4 - 3*n**4 - 4*n - 3*n**3 to the form d*n + h*n**3 + q + m*n**4 + i*n**2 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 18*p**2 + p + 31. Let o be n(22). What are the prime factors of o\/(49\/(-7)) - 5?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-1)\/11*(76 + -98).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1355*d**3 + 1254*d**3 + 5549 + 4031*d**3 - 5549.\nAnswer: 3930*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -20 + 3 - (0 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {v: 10, z: 6, k: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 + -1 - (4 + 106) - -15)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 117 = 38*h - 639. Solve m - l + 6 = 0, -h = -3*m - 15*l + 12*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 43*y + 18*y + 24*y + (3 + 1 - 5)*(y - 4*y + y) + 2*y + 0*y + 0*y)*(-4*y**2 + 5*y**2 + y**2).\nAnswer: 6*y**3 + 126*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/7*63\/(-27)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.478055.\nAnswer: -0.95611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1185 - -824. Let q = 1072 + y. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -215*i - 60. Let u(f) = f. Let v(z) = b(z) + u(z). Is 14 a factor of v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnt when three letters picked without replacement from itnntnnnttntnntnti?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -454*n**2 - 99*n**2 - 19122*n + 19122*n to the form h + r*n + t*n**2 and give t.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153297260\/13 or -11792098?\nAnswer: -153297260\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -0.3, -5, 0.18 in descending order.\nAnswer: 9, 5, 0.18, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(6 + 2 + 26\/(-3)). Let v(k) = -k**3 - 5*k**2 - 8*k - 5. Let b be v(z). Is b not equal to 3\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**3 - 1. Let v be t(2). Let n be 16\/4*3 - 3. Calculate the greatest common factor of n and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*3)*2 - (sqrt(136) + -3*(3*sqrt(136) + sqrt(136))))\/((sqrt(800) + sqrt(800)*2 + sqrt(800))*2 + (sqrt(800)*2*2 - sqrt(800))).\nAnswer: 19*sqrt(17)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 - -94. Let h = 139 + g. Let a = h + -60. What is the closest to 0 in -9, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17825*y**3 + 6081*y**2 - 2*y wrt y.\nAnswer: -106950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.1 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 12 - 1 + 19*c.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let k(o) = 2*o + 8. Let l be k(-6). Let a be (36\/24)\/((-1)\/6). Let u(s) = 5*s**2. What is a*w(j) + l*u(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*k**4*s + 16377*k**3*s + 40*k**2 + k*s + 3499*k wrt k.\nAnswer: -5088*k*s + 98262*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*v + 114*v - 51*v + 224 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/15 (b) -9 (c) 34 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380102, 760234, 1140366?\nAnswer: 1520498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.34 + 3.3. Let r = x + -0.16. What is r rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2297155.\nAnswer: 3\/2297155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/29 and -40\/11.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4489*k**2\/9 + 1072*k\/3 + 64 = 0. What is k?\nAnswer: -24\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhzzhhhzr. Give prob of picking 1 z, 1 r, and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8935 and -124406.97?\nAnswer: 115471.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1144 + 1144.1. Sort p, 1, 2\/21, -0.01 in increasing order.\nAnswer: -0.01, 2\/21, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989856*n + 989856*n - 14*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4190505 is divided by 1897?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -177891\nAnswer: -1\/177891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490044605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 24. Calculate the highest common divisor of h and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by 6525170.\nAnswer: -37\/3262585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**2 - 6229 + 4*k**5 - k**2 + 6250 + (3*k**3 - k**4 - 3*k**3)*(-2*k + 4*k - k).\nAnswer: 3*k**5 + 7*k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*((-1*sqrt(1216) + sqrt(1216))*3 - (sqrt(1216)*1 + 1 - sqrt(1216))) + -4)**2*2)*-4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*d + 34, -2*s - 5*d + 35 = 2*s. Suppose 0 = 2*v + 2*k + k - 6, 0 = s*v - 4*k - 15. Find n such that 1\/5*n**v + 3\/5*n**2 + 0*n - 4\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 1.96. Let l = 1775 + -874. Let v = l - 901. Sort v, i, -2\/11, 5\/4.\nAnswer: i, -2\/11, v, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00562728436 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m = 30*m - 852. Let w = -228 + m. Calculate the greatest common divisor of w and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 1 - 2 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1*(-5 + 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) -185\/3 (c) -13 (d) -0.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.2 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23\/6, -0.433, 2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/6 + (-63767)\/186. Let j(g) = 4557*g**2 + 343*g + 343. Let t(a) = 53*a**2 + 4*a + 4. What is d*t(p) + 4*j(p)?\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234 at least as big as 17871\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300)*4 - (sqrt(1300)*-6 + 1))**2.\nAnswer: -200*sqrt(13) + 130001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7986 and 88803.\nAnswer: 21490326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3.346093g?\nAnswer: 0.000003346093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, -13, 72, 5, -3 in ascending order.\nAnswer: -169, -13, -3, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 2, -222, 0, 15, 4 in descending order.\nAnswer: 15, 5, 4, 2, 0, -5, -222","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 13*v**2 - 14*v + 13. What is y(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100001011110 (base 2) to base 8.\nAnswer: -154136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-4590)*17)\/(((-8)\/(-32))\/((-66)\/(-8))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:24 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -104*c**2 - 48. Let t(g) = -11*g**2 - 5. Determine 5*d(s) - 48*t(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-3*-6)\/(sqrt(84)\/sqrt(7)*3).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.005.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 643 + 647 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21010836 and 3.\nAnswer: 21010836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16251 is divided by 114.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (976*s**2 + 2751*s**2 - 1472*s**2 + 2840*s**2)*(-s - 3*s + 6*s)*(2*s - 4*s + 0*s).\nAnswer: -20380*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*g + b, 2 = -2*b - 6. Let v = g + -18. Let k(p) = p**3 - 2*p**2 + p. Let q be k(2). Solve -q*m = -v*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - j = -1416. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5980 (base 12) to base 2.\nAnswer: 10011100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 184a8 (base 15) to base 16\nAnswer: 1335b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1870, -3741, -5612, -7483?\nAnswer: -9354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(640)*3)\/(sqrt(18)\/(sqrt(99)\/sqrt(11))).\nAnswer: 3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2450*m - 116796. Give p(48).\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 + 3*v. Let r = -26 + 30. Let m be (-1 + 10*1)*1. Suppose -r*s - 3 = m. What is y(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6) + (-6)\/(-4). Differentiate -3 - 8*q**2 + 3*q**2 + d wrt q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608208 is divided by 67446?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.359115, 1\/4.\nAnswer: -0.359115, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 5) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w**4\/3 - 7411*w**3\/3 - 14470*w**2\/3 + 144*w = 0. Calculate w.\nAnswer: -216, -2, 0, 1\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 18, -17, -104, -261, -506?\n\"Answer: -3*g**3 + g**2 + 17*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/2, 0.4, 79.82, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 16.5?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16071 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51155 divided by 11?\nAnswer: 51155\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 35*g - 5. Let n(l) = -34*l + 4. Let f(u) = 4*n(u) + 3*q(u). Let s be f(-1). Let c = -13 + s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3148 + -3147. What is the nearest to o in -5, -3.8, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2328707.6 rounded to the nearest 10000?\nAnswer: -2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12984*k**5 - 12984*k**5 + 25974*k**5 - 935*k + 42*k**3 wrt k?\nAnswer: 120*k**3 + 252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*-2*(-5 + sqrt(1872) + 1 + -2)*-4 + -4))**2.\nAnswer: -153600*sqrt(13) + 1956928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2 + -3 + 5)**2*-1.\nAnswer: -276 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyejgym. Give prob of picking 1 n, 1 m, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 6*q - 2. Let k be w(7). Suppose 3*j + 2*j + 135 = k*n, 4*n - 3*j - 103 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - (8 + -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-562)*34\/68. What is the fifth smallest value in 0, 5, 2, -5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 12. What is the remainder when 405\/13 - (-4)\/(-26) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -21 (c) -0.09 (d) -3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265\/89 + ((-84)\/147 - 17\/7).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.5875 - -19.422. What is the third biggest value in -5, m, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r - 1\/4*r**4 + 3\/2*r**2 - 1\/3*r**3 - 33. Suppose -5*b = d - 6*d - 10, 14 = -3*b - d. What is k(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6528 - 6416. What is the least common multiple of 55 and z?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9836046 nanograms to tonnes.\nAnswer: 0.0000000000000009836046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*l**2 + 234 - 38*l**2 - 234.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 81 = 221. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90 + -1?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -418, -740, -1060, -1378?\n\"Answer: c**2 - 325*c - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23515 or 24395?\nAnswer: 23515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 20.54071?\nAnswer: 20.54071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 463 + -130. Suppose 0 = 5*d - 1252 - b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88913140 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(272) - sqrt(272))*-6 + -3*2*sqrt(272).\nAnswer: -24*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960 is divided by 164.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -760002 rounded to the nearest 1000?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5 = -0*r - 2*f, 23 = -433*r + 430*r - 4*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 12*y + 54 = 0, 0 = -1615*f + 1613*f + 4*y + 16 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 12. Suppose z = -k + 7. Factor 0 + 0*v**3 + 0*v + 6\/5*v**z - 4\/5*v**5 - 2\/5*v**2.\nAnswer: -2*v**2*(v - 1)**2*(2*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/2)\/(17\/(-34)). Suppose u*b - 11*b + 10612 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 - 6*l**2 + 2*l + 33*l**2 as n*l + h + b*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 189329.3 to the nearest 100.\nAnswer: 189300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**3 + 3*u**2 - 5*u - 3. What is the remainder when o(4) is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5\/9 + 20*y**4 + 644*y**3\/3 - 2116*y**2\/9.\nAnswer: 4*y**2*(y - 1)*(y + 23)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Suppose 3*i + u - 27 = i, w = -i - u + 11. Let q(n) = 2*n + 2. Calculate the remainder when i is divided by q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014572 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-4)*14*44968\/88.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 134626, 269263, 403904, 538549, 673198?\n\"Answer: 2*c**2 + 134631*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*p + 12*n - 6*n, 5*p - 85 = 5*n. Calculate the lowest common multiple of 4 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250\/3 + 84. Let t(y) be the first derivative of 2\/15*y**5 - 1\/3*y**4 + 0*y**3 + d*y**2 + 2 - 2\/3*y. Factor t(q).\nAnswer: 2*(q - 1)**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(60\/(-156))\/(30\/(-195))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 2*g - 2*t, t - 3 = 0. Which is the closest to g? (a) 0 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 a when four letters picked without replacement from aaaaaww?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16976989.\nAnswer: 101, 168089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8537971?\nAnswer: 13, 277, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150268 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 3353*s**4\/6 - 25*s**3\/6 + 28*s**2. Let i be q(-25). Let u = i + -10364675. Round u to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:45 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 165 = -45 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1958*g*w**6 - 8*g*w**5 - g*w**2 - 3*g*w + 66*g + 32 wrt w?\nAnswer: 234960*g*w**3 - 480*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 5*g + 3*g + (g + 0*g - 2*g)*(-3 - 6 + 4) + 5 + 2*g - 5)*((0 + 0 + 2*g)*(4 - 4 - g) + 4*g**2 - 2*g**2 - g**2).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1029 + 2015\/2. Find the common denominator of 2\/(2\/24*2) and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 8*m**2 + 6*m - 3. Let j = -61 - -54. Let r be y(j). Suppose -15 = -3*p, -r*q + 0*q + p = -35. Solve -2*w + 3*t + 8 = -8, 5*w + q = -5*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**3 + 2*n**2 + n. Let d be a(2). Let p be 6\/(d\/7) - -1. Let b be (-1)\/(-5) + (0 + 3 - 3). What is the nearest to -1 in b, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 224 = c, 0 = h - 20*c + 17*c + 1 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ccccbkiilcllh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160190*w - 160190*w - 2084*w**2 + (-2*w + 3*w + w)*(w - w + 2*w) - 6*w**2 + 4*w**2 + 0*w**2 to the form j*w + o + m*w**2 and give m.\nAnswer: -2082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -46. Suppose 0 = 6*b + z - 7. Is 12 a factor of -36*(0 - b\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*l + 21175 + 21245. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9348915 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) 6 (d) -4.7 (e) 4 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)*g)**(-3\/13))**(-41) assuming g is positive.\nAnswer: g**(615\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 2 (c) 1\/3 (d) -23 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8552329t?\nAnswer: 855.2329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2714*c - 430*c + 237536 for c.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 453031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:55 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.250165996 to 3 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(483 - 5*k - 483) + (-3 + 2 + 4)*(-4 - 3 + 2)*(-15 + 15 - 5*k).\nAnswer: 70*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80, 76, 70, 62, 52, 40?\n\"Answer: -y**2 - y + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjey when four letters picked without replacement from {e: 3, y: 4, j: 1, b: 5, t: 5}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 10:05 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 236397136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-24) - (-33)\/(27027\/(-2028))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*s + 34*p - 31*p, -3*s = 3*p + 21. Let m(q) = -10*q**3 + 5*q + 5. Determine m(s).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.023 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -846950 divided by -5?\nAnswer: 169390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 511*y**2 - 35. Let j(i) = -30*i**2 + 2. What is 2*a(p) + 35*j(p)?\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (28 + ((-1231)\/65 - (-135 - -144)))\/((-38)\/5)\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 3*w + 0*w)*(6 - 1 - 2) - 6*w + 3*w + w - 1 - 3*w + 1 + 2 - 2 - 2*w in the form g + s*w and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 7*y**2 - 2. Let q(p) = p**3 - 15*p**2 + 16*p - 31. Let t be q(14). Let u be k(t). What is the highest common factor of 153 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -9, 1, 27, 75?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/17 (b) -1 (c) 0.0284 (d) 0.05 (e) 2\/11 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 43005\/(-86292) - -4*9\/1296\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.554*132.758\nAnswer: -73.547932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/12)\/(55\/66))\/(75\/(-16125))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 5. Suppose 11 + 1 = 3*d. Calculate l(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(504)*-1 - sqrt(504) - sqrt(504)))\/(sqrt(32)*1))\/(sqrt(324)*-2 - (sqrt(9) - (sqrt(72) + sqrt(72)*-1)\/sqrt(8))).\nAnswer: 6*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*j - 188*j - 387*j + (-3*j + 5*j - j)*(0 - 2 + 0) to x + p*j and give p.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 0*u**4 + 1\/3*u**3 + 0*u**2 + 0*u**5 + 0*u**6 + 4\/7*u**7 + 0*u - 3. Find the third derivative of a(b) wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 0.46. Let t = 1.94 - -0.06. Which is the second smallest value? (a) -1 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32158 + -4410893.2?\nAnswer: -4410892.87842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*r - 4)*(r**3 + 0*r**3 - 3*r**3) + r**4 + r**4 + r**4 to the form d*r**2 + y*r**4 + l*r**3 + m*r + k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712078405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75360719?\nAnswer: 7, 23, 468079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*z - 4*z. Suppose -5*n + 28 = 3. Suppose -76 = -n*q - k, z*k - 74 = -4*q - 12. What is the remainder when 58 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2147 - -0.0147. Sort s, -5, 28 in decreasing order.\nAnswer: 28, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from zmzczccm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 14*t**2 + 14*t - 29. What is the remainder when d(14) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 140800.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 119467863*v - 28134076 wrt v?\nAnswer: 119467863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185959 is divided by 7748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 25077 = 397*a - 741 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x + 6*x - 53 + 28 + 25. Let n(z) = -2*z + 4*z + z - 4*z. Determine n(f(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/170 and 97\/7522580.\nAnswer: 127883860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-10)*90\/(-27). Let 4*s + s**4 + 4 + k*s**3 + s**3 - 7*s**3 - 3*s**2 = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.8 and 5.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - 25\/(-4). Let w be (t\/9)\/(4\/12). Solve -w*l - 5 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -230081, -230052, -230023, -229994, -229965?\n\"Answer: 29*u - 230110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 + 35 + 11*x)*(2 + 1 - 1) - 24*x + 48*x - 26*x + (-3 - x + 3)*(4 + 2 - 4) + 4 - 4 - 2*x to w*x + m and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626412862.\nAnswer: 2, 19, 1013, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4869224 is divided by 1622861.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 3*i - 5. Let p be n(-4). Let r(l) = -2*l - 4. What is the least common multiple of r(p) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 17*c**2 - 14*c - 18. Suppose -5*o = -3*l - 68, -40 = -2*o - 0*o - 2*l. Calculate the lowest common multiple of w(o) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 3*n - 2, n - 8 = -3*l. Sort l, -3, 191.\nAnswer: -3, l, 191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 35*f**2 + 34*f - 6. What is m(-34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.1234725*5.\nAnswer: -25.6173625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -35*s + 1. Let o be v(-3). Suppose 2*a = o - 14. Suppose k - a = -2*t, 92 = k + k + t. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b. Suppose 2*m - m - 72 = 0. Suppose m = -5*y + 14*y. Solve i + 3*i + y = b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {q: 1, x: 6, y: 3, k: 8}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39768*j**4*y**3 - 54*j**2 - 2*j*y**3 - 8 wrt j.\nAnswer: 954432*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122627 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12531\/10 + -18883\/15. Calculate the common denominator of b and 149\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/308 and 35\/1144?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/4 (c) -7\/6 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/(-1*(-9)\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*u**2 - 2*u**5 + 5*u**5 - 2*u**3 - 2*u**2 + 4*u**5 + 5*u wrt u?\nAnswer: 420*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let b(r) be the first derivative of -r**2 + r - 195. What is b(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 12*j**2 + 6. Let r(a) = a**2 + 3. Let m be r(-3). Is 6 a factor of c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162.334 micrograms in milligrams?\nAnswer: 3.162334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*i - 36, 5*k + 3*i + 775 = 838 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3 + 186*n**2 + 107*n - 27649 with respect to n.\nAnswer: -6*n**2 + 372*n + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 4*m + t, -m + 2*t = 6. Suppose m*f = -f + 2. What is the smallest common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 630193 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 7*p + 1. Let c be b(5). Let o = 4 + c. Let u(k) = k - 6. Determine u(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -147, 5, -5 in increasing order.\nAnswer: -147, -5, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-185)\/(-4218))\/(-27 + 27076\/1008)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-4592)*(-480)\/(-90)*2\/8.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*h - 53714727 = -53718223 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11483518.9 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.076551 to 4 dps.\nAnswer: -0.0766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 240954 - 240878 = 4*w, -3*w = 3*y - 81 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 2*o + 3*o**2 + (4*o - 2*o + 2*o)*(3*o + 5*o + o) - 3*o**2 + 3*o**2 - 2*o**2.\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1988*w + 1995*w = 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 - 10*i + 12. Let o(k) = -3*k**2 + 5*k - 6. Let r(u) = -4*a(u) - 9*o(u). Let l(w) = w**2 + 6*w - 7. What is -4*l(f) - 5*r(f)?\nAnswer: f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21311 - 4?\nAnswer: -21320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294674 - 134574. Round l to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3876 + 3875.999858285. What is x rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190823 - -190822.5. Let v be ((-11)\/6)\/1 + 2. Which is the nearest to v? (a) 1 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t - a - a, 3*a - 8 = -4*t. Suppose -5*x = 4*j + 15, -9 = -6*j + 3*j + 3*x. Determine u, given that j + 1\/3*u**t + 1\/3*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 1 - 11*d**2 + 37*d**2 + 0 + 57*d**3 wrt d?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -720*p**3 - 722*p**3 - 5539*p**4 + 6350 + 1442*p**3 - 69*p**4 wrt p.\nAnswer: -22432*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537995.41 rounded to the nearest one thousand?\nAnswer: -1538000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 7 - -15 - -16 - (-1 + (3 - -1))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**9\/504 - 31*j**7\/21 + 151*j**5\/60 - j**4\/8 + 113*j**2 - 2. Find the third derivative of q(o) wrt o.\nAnswer: 120*o**3 - 7440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-278656)\/17416)\/((3\/15)\/(-1)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/23 - 1972*g**2\/23 + 3938*g\/23 - 1968\/23 = 0.\nAnswer: 1, 984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 442, 955, 1678, 2617, 3778, 5167, 6790?\nAnswer: 8653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 4:29 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.4129 times 21\nAnswer: 29.6709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42, 60, 86, 114, 138, 152, 150, 126?\n\"Answer: -u**3 + 10*u**2 - 5*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416755653 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2687\/4, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*b*h**4*o + 3*b*h**2*o**2 - 7*b*h*o**2 - b - 48*h**4 + 2*h**3*o**3 + 22*h*o**3 wrt h?\nAnswer: 888*b*h*o - 1152*h + 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(35)\/sqrt(180).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 777 - 352. Let d = i - 234. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 15 = -39. Sort -4, 16, 4, l, 3 in ascending order.\nAnswer: -4, l, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 0*v - 2*v)*(-3*v + 3*v - v**2) + 7*v**3 + 13*v**3 + 26*v**3)*(-20*v - 19*v - 2*v).\nAnswer: -2009*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105027, -420032, -945023, -1679988, -2624915, -3779792?\nAnswer: -5144607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 854*i**2 - 361*i**2 + 729*i**2 + 67*i + 1 - 65*i to l*i**2 + h*i + s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t. Let w(s) = 4398*s**2 + 12. Calculate w(j(d)).\nAnswer: 17592*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*g - 1046*g - 34*g = 3539*g + 177600 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/15645 and -30\/1043.\nAnswer: 15645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t - 95. Let g be l(8). Put 5, 0, -3, g in decreasing order.\nAnswer: g, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-10)*(-5 + -1). Let p(b) = b - 4. Give p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -14*a - 4*a**2 + 1\/3*a**3 + 2. Let l be (-10537)\/(-1066) + (-93)\/(-806). What is w(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 5, i: 7}. What is prob of sequence rr?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 0*n - n**3 - n + 37*n**2 - 31*n**2 to the form g + b*n**2 + q*n**3 + m*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/6 - 9*m**2\/2 - 88*m\/3 = 0?\nAnswer: -16, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 20, -3*v + 2*s - 28 = -0*v. Let k = 660 + -655. Let m be (-4)\/k*3\/v. Put -2\/9, m, 2 in ascending order.\nAnswer: -2\/9, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 191*l - 194*l. Calculate the lowest common multiple of 10 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 135. Let p = m - -172. Let q(b) be the second derivative of -b**5\/20 + 5*b**4\/12 + 7*b**3\/6 - 4*b**2 + 2*b. Determine q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.45, -3, -1\/21 in descending order.\nAnswer: 1.45, -1\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*6*((sqrt(300) + 1 + -3 - sqrt(300)) + (sqrt(300) - ((sqrt(300) + 2)*4 - sqrt(300)) - sqrt(300))**2).\nAnswer: 14400*sqrt(3) + 82862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1017344, 1017342, 1017340, 1017338, 1017336?\n\"Answer: -2*v + 1017346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*o = -1018 - 758 + 372 - 980 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -36*j**2. Let q(m) = -10*m**2. Let f(k) = -k**2. Let d(v) = -18*f(v) + 2*q(v). Calculate d(l(w)).\nAnswer: -2592*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10398 or 7820?\nAnswer: 7820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v + 1. Let f(p) = 2*p + 14. Let o be f(v). Suppose -o*x = 12 - 152. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 142.\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7001 times 5\nAnswer: 35005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50.9 + -50.98. Let z = 8.9 + -8. Let g = -0.9 + z. What is the third biggest value in q, 0.4, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g**2 + 59*g - 180. Calculate f(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 1. Let k(s) = -2*s - 1. Suppose -2*z = -5*v + 12, -5*v = -z - 5 - 11. Calculate z*m(b) - 5*k(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182 - -227. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1406*a - 254*a + 728*a - 931*a in the form k*a + y and give k.\nAnswer: -1863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r + 4. Let z be x(2). Let n = z - -36. Let d = 48 - n. Solve 4*w + 4*c = 0, -c - d = -3*w + 3*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l. Let v(q) = 5*q. Let i(j) = 4*u(j) - 5*v(j). Let r(o) = 8*o. Give -6*i(m) - r(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 85.9. Let k = -14.85 - -11.85. Let u = 1 - 4. What is the nearest to u in q, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/69 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 26*s - 28. Let o be i(-16). Let b = 210 - o. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or 340018?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16))\/(24\/288)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -659, 146, -747 in ascending order.\nAnswer: -747, -659, 0, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85588 is divided by 85509?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 148, 257, 346, 409, 440, 433?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**2 + 3*b**3 - 9 + 3*b + 2 - 2*b**3. Let n be 4 - ((16 + -5 - 8) + 7). Determine h(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 260 and 225 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*k + 44*k - 761*k - 675*k - 3*k + 0*k + k + (-2 + 3 - 2)*(6*k - 2*k - 2*k) - 2*k + 9*k + 0*k to the form a + f*k and give f.\nAnswer: -1571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1472 + 1469. Let r(b) = -5*b - 5. Let x(v) = 15*v + 14. Give d*x(s) - 8*r(s).\nAnswer: -5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 326861 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 + 6*i - 345. What is the units digit of x(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k. Let b(d) be the second derivative of -d**4\/12 + d**2 - 50*d. Let u(f) = 2*f**2 + 12. Let j(t) = -6*b(t) + u(t). What is r(j(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76824043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38*-1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 23 = 523*f - 516*f, -4*d - 36 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*o + 2. Suppose 2*k - k + 4*j = -5, o*k - 3*j = 45. Let i = 1 + k. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.170604 less than -1.1?\nAnswer: 0.070604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2\/2 + 1. Let m(f) = 2*f**2 + 3*f. Let c(y) = 22*y**2 + 34*y. Let h(q) = 6*c(q) - 68*m(q). Determine i(h(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 973530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:06 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -19*n - 2*a + 55095, 0 = -4*n + 4*a + 44076. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 214960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -15*d - 28*d - 6 - 19*d + 54*d. What is t(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.880835 to 2 dps.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + -9. Let g = w + 15.6. Suppose 4*h - 2*h = 0. What is the closest to 1\/4 in 0.2, h, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4 - 114*b**3 + 588*b**2 - 206*b - 264 = 0. Calculate b.\nAnswer: -33, -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 8*v**2 - 6*v - 5. Let c be u(7). Let y(r) = -r + 15. Let z be y(11). Let k be (15\/18)\/(5\/z). Which is bigger: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 5*k + 11. Let x be v(-6). Suppose 0 = -3*m - 5*u + 750, -551 = -x*m - u + 699. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -7\/11, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38032)\/(-5)*(-6260)\/(-8). Let v be (-1)\/(-6) + a\/(-48). Round v to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 + 3*c - 57. Give f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001110110111000 (base 2) to base 13.\nAnswer: 60064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*d**2*i**2 + 8*d**2*z - d*i**2*z - 20*d*i*z + i*z - 1 wrt d?\nAnswer: -56*i**2 + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -35. Suppose -l*r - 4*t + 39224 = 0, 0 = -2*r - 2*r + 3*t + 31404. Suppose d = -2252 - r. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -h + 4*h. Let i be (-764)\/(-36) - (-4)\/h. Let b = i - 13. What is the least common multiple of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.05785 (b) 0.11 (c) 2 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/17 + 395460832*g\/17 - 19548658705766528\/17.\nAnswer: -2*(g - 98865208)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5 + j**3 + j + 6 + 0*j. Let n(k) = -5*k**3 - 5*k - 6. Let u = 16 + -22. What is u*b(g) - n(g)?\nAnswer: -g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -94?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i + 19. Give g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-21)*15246\/(-99)*(-3)\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1\/2)\/(-10*18\/15)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477626?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 6950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 + (0 - 3 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1994 + -1133. What are the prime factors of o?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299634251 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -6. Let c = 1 + h. What is the biggest value in 2\/7, -3\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -0.6, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 19 = -11. Let f(i) = h*i**2 - 3 - 5*i**2 + 3. Let r(y) = 2*y. Calculate f(r(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6430 by -9.\nAnswer: -6430\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(847)*1)**2 - sqrt(847) - (sqrt(700) + 1)**2*-1) + 5.\nAnswer: 9*sqrt(7) + 5788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026468 rounded to five decimal places?\nAnswer: -0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*i**3 + i - 2 + 2*i - i to z + t*i + v*i**3 + a*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.2 - 15.9. Let u = z + -47.3. Put 0, 53\/11, u in descending order.\nAnswer: 53\/11, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 176 - 30*m + 176 in the form d*m + l*m**2 + p and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5.4. Let h = -3 - -3. Let m = -4\/3 + 19\/12. Which is the third smallest value? (a) m (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*h**2 - 53*h**2 - 177*h**2 to o*h + d*h**2 + k and give d.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -22256 + 3956. What is g rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117 + 151*m + 37*m + 144*m + 117 to the form u*m + p and give u.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 808, 1617, 2428, 3241?\n\"Answer: x**2 + 806*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 60 (c) -23 (d) 4\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 8. Let x be q(3). What are the prime factors of (-124)\/(1\/x*2 + -3)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 670a1?\nAnswer: -670aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75 + -26743.92.\nAnswer: -26743.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(1\/8))\/d*d*d)\/((d**(4\/7)\/d*d)\/d)*d**6*d*d**(-1))**(3\/20) assuming d is positive.\nAnswer: d**(321\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14047935 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 904367549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 + 5. Let h be w(4). Suppose 3*p = 2*v - 1, -6 = 4*p - h*v + 7. Let g be (-8)\/(4*p\/(-6)) - 0. Solve -r = g*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*o + 3*u + 30 = 0, 10*u + 14*u + 62 = 22*u + 52 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 9 = 5*m. Suppose 0 = -m*p - 3*p - 144. Let w = p + 29. Is w >= 11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t + 2\/105*t**5 + 0 - 1\/168*t**4 + 29*t**2 + 1\/840*t**6 - 1\/735*t**7 - 1\/7*t**3. Determine x, given that v(x) = 0.\nAnswer: -3\/2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 335, 340, 345?\n\"Answer: 5*d + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/13)\/a**(2\/97)*a**(-2\/3)\/a**(-2\/23))**(-5\/6) assuming a is positive.\nAnswer: a**(63655\/261027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1.6. Let y be ((-1)\/(2 - 1))\/(-18 - 11). What is the nearest to -1 in y, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwrrrrrrrrwr. What is prob of picking 2 r and 1 w?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -442.4 minus 741438.20373?\nAnswer: -741880.60373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833) - sqrt(833)) + -5 + -2.\nAnswer: -21*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42566 to 2 dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4824884 is divided by 6357.\nAnswer: 6278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 18*v = 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/111679?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12451078 is divided by 683?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*-195*(-70)\/(-2625)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-26301)\/44)\/(-3*(-5)\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - (-4 - (-4 + 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - 8*m - m + (-5 - m + 5)*(0 - 3 + 6) to the form b + q*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/4213770 and -163\/67800.\nAnswer: 84275400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.640481 + 6.64. What is f rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 4, n: 1, j: 3, x: 5}. Give prob of picking 1 j and 2 x.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49495 divided by -9899.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -58 + 2\/3*3. Let o(m) = m**3 + 14*m**2 + 17*m - 1. Let u be o(-12). Let w = u + d. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -537*q**2 + 263*q + 272. Determine s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 8453 = 2266. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = 4*a - 112, 5*k = -5*a - 90. Which is smaller: k or -18?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 25*s**2 + 1. Is 13 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140220158?\nAnswer: 2, 13, 37, 145759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let y(m) = -m**2 - 8*m - 15. Let k be y(-4). Let t(n) = 2. Give k*g(l) - t(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, -896, -1\/2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 27545295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q**2 + 14*q - 14*q + (3 - 2*q - 3)*(3 - 2*q - 3))*(5*q**2 - 7*q**2 + 1 - 3) as p*q**2 + z*q**4 + d*q**3 + i*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -145 and -253.7?\nAnswer: 36786.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.129 + 0.071. What is the closest to 6 in 1\/4, n, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/155 in 1, -2\/7, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (8\/(-2) - -3). What is the derivative of -k*i**4 + 2 + 49*i**4 + 5 wrt i?\nAnswer: 176*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 87 = -5*r, -i + 91 + 16 = -5*r. Is 0.4 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23516 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 7*v + 4*v - 7, k - v + 7 = 0. Is 47 a factor of (k + 7)\/((-3)\/(-134))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -0.5 (b) 0 (c) -1\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -82459 * 3030\nAnswer: -249850770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893677.62 + -0.2153?\nAnswer: 1893677.4047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3101858 = -119*n - 48*n. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -53. Let i = -33 + l. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18964 is divided by 514?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1961*z**4 + z**2 + 35168?\nAnswer: -7844*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 506, 12, 0.\nAnswer: 0, 4, 12, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2 + 51*j**2 - 117*j**2 + j + 65*j**3 wrt j.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-774)\/645)\/(96\/15)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrvrvrjurvzjzrrrjv. What is prob of sequence urvr?\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*v**5 - 2*v**3 - 2*v**2 - 75*v.\nAnswer: -1680*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 28431.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)\/x**(-2))\/(x*x\/x**(-1\/3)*x*x**(-3\/5)*x*x*x*x) assuming x is positive.\nAnswer: x**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73807 - 185849 = -124*h. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 divided by 6?\nAnswer: 695\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7640780 (b) 22 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from ddjddddjddjdddg.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -3. Let n be 2\/(-8) + (-4)\/(64\/28). Put 0, o, n in decreasing order.\nAnswer: 0, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -49*s + 25. Give m(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2 + 0*z**3 + 0*z - 5*z**2 - 1 - z. List the prime factors of i(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h + 3. Let m be q(-7). Let k = m + -18. Let v(i) = i**3 - 10*i**2 + 8*i + 11. Let f be v(10). What is the greatest common divisor of k and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(-3*(3*(sqrt(720) + -1 + sqrt(720)) + -5))**2.\nAnswer: -124416*sqrt(5) + 2806272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 8\/15*p**3 - 16\/5*p**2 - p + 0 - 1\/30*p**4. Factor w(h).\nAnswer: -2*(h - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122228409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o\/o**40*o))\/o)\/o)\/o)\/o*(o**(1\/4)*o)\/o*o)\/(o*o*(o**(-39)\/o)\/o*o*o\/(o*(o*o**(1\/12)\/o)\/o*o)) assuming o is positive.\nAnswer: o**(223\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (7 + 0) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 1307*u**2 + 4*u - 342*u**2.\nAnswer: 965*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 25*i = 24*i - 138, 3*i + 92 = 2*q. What is the remainder when 178 is divided by q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -246 + 246.1. Let a be (3 - 3 - -3)*10\/12. What is the third biggest value in j, a, -4, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 29*b + 3390 = 0. What are the prime factors of b?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -605 + 4837\/8. Which is the third smallest value? (a) 4\/7 (b) -0.3 (c) -5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w - 1. Let m(c) = -11*c**2 + 4*c + 3. Determine -m(g) - 4*z(g).\nAnswer: 7*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2 - (-9873)\/(-36)*2. Let h = u + 571. Calculate the smallest common multiple of 33 and h.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 3*n + 2. Let j be i(-2). Let o = -5 + j. Is o + 180 - 0\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - -1*(-3 + sqrt(475)) - (-5 + sqrt(475)*4))*3)**2.\nAnswer: -360*sqrt(19) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66.1 + 69. Let s = o + -3.23. Let z = 0.32999963 + s. Round z to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6258 + -4054. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.2. Suppose -12 + 13 = x. Let u be ((-2)\/6*x)\/1. Which is the biggest value? (a) q (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h**(-2\/9)*h)\/h))**(-4\/25))**(-12\/7) assuming h is positive.\nAnswer: h**(64\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 4\/3*t**3 + 0*t**2 - 12 + 0*t - 13\/4*t**4. Find the third derivative of w(n) wrt n.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 11*y**2 - y - 11. Let c be q(-11). Solve -h + 2 - 6 = c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 4, -3, 1, -12, 212 in ascending order.\nAnswer: -12, -3, 1, 4, 5, 7, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*o + 17. Suppose o*j + 5 = -j. Let y = -7 - -7. Is j greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*17\/(-51)*9\/(-21)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23 (b) -21 (c) 1\/5 (d) -0.3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85004191 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11103 - -0.38897. What is the closest to 5 in i, -0.042, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**4\/14 + 6*f**3\/7 - 216*f\/7 - 186. Factor l(b).\nAnswer: 2*(b - 3)*(b + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i, 3 - 2 = -3*b - 5*i. Suppose -t + 48 = 3*t. Let y = t + b. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2405 + 38459\/16. Suppose 6*u - 395 = -233. What is the common denominator of (-2 + u\/12)\/((-5)\/15) and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/2*(-24)\/(-14) + (-9 - -2). Is l <= -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -141. Which is the second smallest value? (a) 4 (b) -3\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 6*h**2 - 868800*h + 868838*h - h**2.\nAnswer: 3*h**2 + 38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 4*v + 0*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -0.5, -5, 39, 72?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80594742 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 49*n**6\/15 + 7*n**5 - n**4\/2 - 20*n**3\/3 + 4*n**2 - n + 1. Let q(u) be the first derivative of j(u). Factor q(l).\nAnswer: 2*(l + 1)**2*(7*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18 + (2 - (3 - 1)). Suppose -m = -4*j + 6. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.45 or -81312?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16*(-38624)\/142\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/5, -0.03, 0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1336 - -1336.2. Which is the third biggest value? (a) 1\/11 (b) -2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, l: 1, t: 2, q: 2}. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -35 - -17) + 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:02 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5526824 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/27, -2\/25, -1, -10?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.0464, -0.1.\nAnswer: -1, -0.1, -0.0464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from eeueeeue.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 130684362 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, 38, 3\/2, -45, -1\/42, -0.5?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 12. Suppose -i*q + 56 = q. Suppose h = 3*h. Solve 4*c - 5*m = h, -4*m + 2 = -q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159.3 + -130.26. Let p = w + -32. Let y = 0.04 - p. What is the smallest value in y, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118311.\nAnswer: 3, 113, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -43. Is 1\/4 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 492, -0.15, 4 in decreasing order.\nAnswer: 492, 4, 1\/8, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2190 and 66.\nAnswer: 24090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*j + 17*j - 171 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 - 6*x + 7. Let g(r) be the third derivative of -r**6\/120 + r**5\/15 - 5*r**4\/24 + r**3 - 74*r**2. What is -5*g(b) + 4*h(b)?\nAnswer: b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3 and (27\/63)\/(18\/(-44)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-12))\/(33\/((-9405)\/(-60))).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -340050 (base 10) to base 15\nAnswer: -6ab50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607200 rounded to the nearest 10000?\nAnswer: 3610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.614917343 rounded to 2 dps?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 528 - 378. Calculate the lowest common multiple of q and 9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*t**2 + 6115*t + 1750.\nAnswer: -5*(t - 175)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.54 + 6.54. Which is greater: -178\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331659*r**2 - r - 885187 wrt r?\nAnswer: -663318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1833, 1838, 1843, 1848?\n\"Answer: 5*f + 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -457*a**2 + 2294*a. Let r(j) = 2*j. Determine l(r(p)).\nAnswer: -1828*p**2 + 4588*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 7 = -15*c - 5*u, 10 = -5*u. Suppose c*f - 5*w = -3*w + 4, -2*w = 2*f - 16. Calculate the least common multiple of (1 - -2) + 0 + 0 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 141, 186, 249, 330, 429, 546?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-5) - (-5 + 2 - -11). What is the common denominator of 111\/28 and a\/16 + 1 + 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26015228\/15 or 1734348?\nAnswer: 26015228\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91005713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 0*v**2 - 4*v + 2*v**2)*(5*v**2 - v**2 - 6*v**2).\nAnswer: -4*v**4 + 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*q**4*v - q**4 + 2*q**3*v + 3*q**2*v - 69*q*v wrt q.\nAnswer: -2496*q*v - 24*q + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 4. Let y be j(7). Suppose 4*q = n - 5, 2*q = -y*n - 3*q + 15. What is the second derivative of g + g**5 + n - 5 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 1 = 4*q + s, 17 = 4*q - 3*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 12:07 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a - 46 - 29 - 33 + 87. Let q be v(5). Find the first derivative of -2*b**3 - q*b - 27*b**4 + 36 + 26*b**4 + 2*b**3 wrt b.\nAnswer: -4*b**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -1 - -2) + 6. Let x(y) = p + 4*y + 5*y - 4*y + 6*y**2 - 3. Let f(g) = -132*g**2 - 2*g + 5*g + 133*g**2 - 2*g. Determine -4*f(t) + x(t).\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(-3 + 2*d**2 + 3)*(4*d - 3*d**2 - 4*d) as g + p*d**3 + r*d**2 + j*d + i*d**4 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 75*i**2 + 81*i + 232. Let s be r(-80). Round s to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.29457 months in years?\nAnswer: 10.7745475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 9*s - 1. Let d(h) = -h - 1. Let v(y) be the first derivative of 2*y**3\/3 - 5*y**2\/2 - 7*y + 340. Calculate s*v(p) + 4*d(p).\nAnswer: -2*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -18) + -3 + (-2 - -7) + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 46, 48\/17, 3.\nAnswer: 2, 48\/17, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3922*x - 1196213. What is h(-305)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2664 and 2183.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, -2, 0.1, -25\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1450 + -240. List the prime factors of j.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 14*z + 75 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134480 + -134478. Let f = 0 + 4. Which is the closest to 6? (a) -2\/11 (b) f (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/3))\/s**(-2\/9)*s**(2\/3)\/(s\/(s\/s**(-15)*s)))**(-4\/21) assuming s is positive.\nAnswer: s**(-620\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/i**(2\/3))\/i))\/i)**(-40))**15 assuming i is positive.\nAnswer: i**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 10. Let m be l(-6). Which is greater: m or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21937 - 21933. Solve -15 = u + q - 12, 2*u - 24 = k*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 1637 + 5520 + 1478 - 837*b + 837*b to the form k*b + s*b**2 + w and give w.\nAnswer: 8635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/12 - 4*g**3\/3 + 2*g**2 - 2*g. Let q be d(-8). Which is the closest to 1\/2? (a) q (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*12\/(-63))\/(21*(-45)\/6615).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(108\/51 - 2). What is the third biggest value in m, -3, 2, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453747 not equal to 28132335\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 15, c: 4}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-14 + -7 - -21) + -26.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -25 + 8*p + 25. Let o(q) = -q. Give t(o(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w - 35 - 14 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -937148, -937140, -937130, -937118, -937104, -937088, -937070?\n\"Answer: y**2 + 5*y - 937154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8391.\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 577677 or 4621417\/8?\nAnswer: 4621417\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -1.064153070060618?\nAnswer: 0.935846929939382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 35*a - 37*a + 86, -3*n + a = -82. Solve -n*d + 4 = -30*d - z, 0 = -3*z + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/5 + 2\/10. Suppose -c + 12 = f*c. Solve 3 = c*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/16)\/(-65 + 51 - (-218)\/16). Let b = -5 + 0. Put c, 0.5, b, 1\/6 in ascending order.\nAnswer: b, c, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 3*m**2 + 3*m. Let q(y) = 9*y**3 + 6*y**2 - 9*y. Let j(r) = -7*r**3 - 5*r**2 + 7*r. Let l(f) = -5*j(f) - 4*q(f). What is 5*l(h) - 2*w(h)?\nAnswer: -3*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2. Let u(g) = -63319*g. What is u(b(s))?\nAnswer: 253276*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 + j**3 + 3*j**3 + 45*j)*(-2*j**2 + 2*j - 2*j).\nAnswer: 4*j**5 - 90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 22086.\nAnswer: -662580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**4. Let q(f) = 4*f**5 + 10*f**4. Let k be 3 - (-2 - -5) - 6. Let i(m) = k*c(m) + q(m). Let i(t) = 0. Calculate t.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 24, 52, 90, 138, 196, 264?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4585514709 to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 4*k**2 + k - 1. Let a be s(-3). Suppose a*f = 10*f - 32. Let i = f - -18. What is the greatest common factor of i and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1.3, -0.6, 4, -5 in descending order.\nAnswer: 21, 4, -0.6, -1.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (2 + -7) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 l, and 1 q when four letters picked without replacement from lqnnqnnq?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -66. Suppose 8 = 2*f + 34*m - 35*m, 0 = -2*f + 4*m + a. Factor 6\/13*p**2 - 6\/13 - 2\/13*p**f + 2\/13*p.\nAnswer: -2*(p - 3)*(p - 1)*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -5. Let w = y - -3.5. Let m = -0.9 - -1.9. What is the closest to 2\/3 in m, w, -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o + 108 = 0. Let d be 1 - 1 - (-62)\/2. Let g = -22 + d. What is the highest common factor of o and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895429155.\nAnswer: 3, 5, 811, 73607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 5) to base 2\nAnswer: 10011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -118, -181, -270, -385?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 66*w**2 + 449*w + 853. Determine x(58).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -16*h - 8. Let o(g) = 4*g - 13. Let v(n) = n - 4. Calculate h*o(c) + 7*v(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + -2 + sqrt(153))) + 0 + -1)**2*2.\nAnswer: -12*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + v - 4*v + v)*(-46*v + 17*v + 95*v) in the form n*v + a*v**2 + u and give a.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -1556*b**7\/35 + 179*b**5 - 17*b**2 - 122*b. What is the third derivative of n(t) wrt t?\nAnswer: -224064*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0, -293, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3299*c - 2944*c - 2179*c)*((2 - 2 + 2)*(c**3 + 2*c - 2*c) + 9*c**3 + 0*c**3 - 4*c**3) to a*c**2 + k*c**4 + n*c + h*c**3 + v and give k.\nAnswer: -12768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27709, 33796, 39883?\n\"Answer: 6087*j + 21622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -231, -221, -209, -195, -179, -161?\n\"Answer: a**2 + 7*a - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 473 - 471. Calculate the least common multiple of n and 2552.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1741*t**2. Let w(m) = -514*m. Calculate w(y(u)).\nAnswer: 894874*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(4\/(-6)). Let z = -721 + 719. Which is the closest to g? (a) -1\/7 (b) -2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 41. List the prime factors of ((-6)\/d - (-6)\/(-18))*285.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109385 is divided by 36355.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 6:30 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s + 3*s = -192. Put 2, -7, s in decreasing order.\nAnswer: 2, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 30 = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-10))\/x)\/(x*x*x**(-8))*x**(3\/10)*x**6 assuming x is positive.\nAnswer: x**(223\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 8) to base 3.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5825*v**3 + 2*v**2 - 57*v - 109. List the prime factors of n(-2).\nAnswer: 7, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3 - 39. Let p be ((-6)\/(-10))\/(g\/210). Is ((-3)\/(-1))\/(p\/216) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - (-3 + -31 + 12).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 2*j - 2. Let l(f) = -12*f**2 - 680*f + 8. Give l(x) + 5*s(x).\nAnswer: -2*x**2 - 690*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1843 and 1387.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1000636 milligrams to grams.\nAnswer: 0.0001000636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h**2 - 13*h + 64. What is x(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*v**4 + 2*n*v - 40*v**3 - 9*v**2 wrt v?\nAnswer: 48*n*v - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123368855*k + 46639477?\nAnswer: 123368855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/120 + 4*t**5\/15 - 5*t**4\/12 - 9*t**3\/2 + 3*t**2. Let g = -139 - -123. What is the tens digit of q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**2 + 1 - 1 - 52*t**2 - 2.\nAnswer: -80*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91328*d**2 + 1276 - 2549 + 1273.\nAnswer: 91328*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/13)*g**(-1))**(-50)*(((g*g**(5\/4))\/g)\/g**4)**(-25) assuming g is positive.\nAnswer: g**(5975\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74389247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 16*q - 20*q + 12*q**3.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*2*4 + sqrt(242)*1 + 4 + -2*(sqrt(242) - (sqrt(242) - (sqrt(242) + (sqrt(242) + 2 + (2*sqrt(242) - sqrt(242)))**2)))*3.\nAnswer: -5828 - 495*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 8*k - 8. Let z be v(6). Let a(d) = d**3 - 3*d + 4. Let x be a(z). Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 6, 0 = 4*i + 2*f + 2 + 8. Let a be i*(-4)\/((-12)\/15). Sort 3, a, -4.\nAnswer: a, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -162 in -0.6, 3\/2, 4\/7, 2\/109, 2\/9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 23. Let u be s(0). Suppose -u = -f + 12. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(405)*-2 + (sqrt(405) - (2*sqrt(405) + -2)) - (-2 + ((sqrt(405) + sqrt(405) + -2 - sqrt(405))*-3)**2))*4.\nAnswer: -14708 + 828*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let p(n) = -1750*n. Let s(a) = 146*a - 289*a + 146*a. Let q(f) = -p(f) - 625*s(f). Give y(q(k)).\nAnswer: -125*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - (15\/(-4) - -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12996.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 104434, 104482, 104526, 104566, 104602, 104634, 104662?\n\"Answer: -2*v**2 + 54*v + 104382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/((-44)\/8)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5 - 5. Let u = n - -44. Suppose 4*w + w - 20 = 0. Calculate the highest common factor of w and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000202200021 - 0?\nAnswer: 1000202200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21612 + 400?\nAnswer: -21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188864 is divided by 478?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -796 from 356.28.\nAnswer: 1152.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, -69 in descending order.\nAnswer: 5, 0, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(20\/(-33)) + 1202\/(-3005))\/(10\/440)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -22. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 0.3 (c) 0.2 (d) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 19565.9?\nAnswer: -19560.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(13 - 13 - 4*l + 1 + 2*l - 1 + 3*l - 5*l + 4*l + (-2*l + 0*l + l)*(1 - 1 - 1)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-117 - -110 - (0 + -1)) + 35 - 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1) + -1 - 6. Let v(i) = 45*i + 166668*i**2 - 11*i - 15*i - 11*i. Let j be v(z). What is j rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - s + 0*s - 6 + 6 + 5*s + (-s - 9*s + 0*s)*(2 - 2 - 1) + (0 + 1 - 2)*(-s + 4*s - s))*(5 + 1 - 4) in the form v + l*s and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-20)\/(-35) - 17\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1587.0519 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*z - 105, -5*k - 4*z + 141 + 21 = 0. Suppose 85*d + 400 = 110*d. What is the remainder when k is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 27. Let f(z) = 8 + 141*z**3 + 7*z**2 - 142*z**3 - 7*z + h. Let l be f(6). Solve -l*d - 1 = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 47919729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 3, p: 4, f: 1, n: 2}. Give prob of sequence fmm.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - 36*b**3 + 8*b**3 - 3*b + 5*b + 9 in the form c*b + j*b**2 + z + x*b**3 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251913443 to the power of 1\/3, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-65404)\/1379)\/((-68)\/119)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -65.4\nAnswer: 71.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18614910103 and 0.33.\nAnswer: 18614910103.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suz when three letters picked without replacement from hhbvhsvzzvuhbhv.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 8. Let y be v(3). Which is greater: y or -1\/35?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 226 - 64 = 0. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 557 + -555. Let n(s) = -s**3 - 12*s**2 - 9*s - 5. Let d be n(-11). Let a be (6\/d)\/(4\/(-3)). What is the third smallest value in -4, a, j, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164886769 and 1121?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -224\/3 (b) 8.9 (c) 9 (d) -1\/2 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3757703 take away 142?\nAnswer: -147.3757703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -33, 9, 16 in ascending order.\nAnswer: -33, -8, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, j: 6, b: 1, z: 5}. Give prob of sequence bj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/100634 and -16\/1139.\nAnswer: 1710778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 18896 = 2*j, 4*j + 14898 = -x + 52696. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154401509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -277, -401, -575, -799, -1073, -1397?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 8*p - 720 = 0. What is the highest common factor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -6*x + 7*x. Let p = 75 - x. Calculate the remainder when 41 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16077588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/11594916 and 67\/2576648.\nAnswer: 23189832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -15*s**2. Let z(w) = 3*w. Determine z(k(l)).\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bffbhhfffbbfhfhh. Give prob of picking 1 h, 1 f, and 1 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1 + 15\/(-12)). Let s be d\/18 - 222\/27. Find the common denominator of (-12)\/s + (-4)\/(-22) and -127\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0 + 0)*((1 + 4 - 4)*(2 + 1 - 2) + (-1 - 5 + 3)*((1 + 2 - 1)*(0 + 2 - 3) + 3 - 5 + 3 - 4 + 2 + 4)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 3.2. Let l = -37 + 32. Sort -2\/5, g, l, -2 in increasing order.\nAnswer: l, -2, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 271950, 271951, 271952, 271953?\n\"Answer: f + 271949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let r be (-1)\/((-2)\/(-10))*4\/10. Let d(b) = -3*b. Let f(v) = r*m(v) - d(v). Let j(y) = -18*y. Give j(f(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + a + 3 = 1, 0 = -t - 4*a - 17. Is -6 - -4 - 53\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-385)*5 - (-37)\/(-77).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (6 - -187)*(6 - (-5 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161826687.\nAnswer: 3, 11, 47, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - 10. Let k = 14 + t. Let v = 1.4 + k. What is the closest to 0 in -0.5, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3405.505943 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536569 is divided by 405.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170)*2 - sqrt(170)) + sqrt(170)*-4*6)\/(3*(-2*(sqrt(160) - -2*sqrt(160)) - sqrt(160))).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 48*y + 88. Does 17 divide d(35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(52) + sqrt(78)\/(sqrt(24)\/sqrt(4)).\nAnswer: 2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77345460 and 6372.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15596, 15595, 15604, 15629, 15676, 15751, 15860?\n\"Answer: x**3 - x**2 - 5*x + 15601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Let g = 15552 - 2954951\/190. Let m = g + -1\/38. What is the biggest value in m, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 5628 - 3*x**3 - 22*x**2 + 5628 + 0*x**3.\nAnswer: -x**2*(x + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -12 - 12 - (0 - -1)) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:05 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 2*m - 3. Let k be q(0). Let v(b) = 33*b**3 + b + 33. Let r(y) = -34*y**3 - y - 31. Let d(i) = k*v(i) - 4*r(i). Differentiate d(u) wrt u.\nAnswer: 111*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25313, 101299, 227949, 405263?\nAnswer: 633241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418449 is divided by 59625.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*q + 483 - 511 = 0, -1 = 6*v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42727, -40781, -37537, -32995?\nAnswer: -27155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10805599, -10805593, -10805583, -10805569, -10805551?\n\"Answer: 2*z**2 - 10805601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {o: 2, i: 1, l: 1, q: 1, d: 2, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g)*(42*g**2 - 35*g**2 - 4 + 5).\nAnswer: 14*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.476663 nanometers?\nAnswer: 0.0000002476663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:43 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 + 2*y**2 + y + 1. Let h(n) = 22*n**3 + 19*n**2 - 34*n + 8. Calculate h(r) - 8*p(r).\nAnswer: -2*r**3 + 3*r**2 - 42*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 59, -0.5, 5, -0.4 in increasing order.\nAnswer: -0.5, -0.4, -0.1, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*o = -108*o - 84. Let f = 98 - o. What is the lowest common multiple of f and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -556 and 2.\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2437, -4872, -7277, -9652?\nAnswer: -11997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/78*1\/2*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 31 + 25. What is the remainder when 9 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**2 + 4 - 5 + 1 + 2*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 327 - 170. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 1935. Let y(t) = -6*t. Give j(y(l)).\nAnswer: -36*l**2 - 1935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22\/(-275) - (-31119)\/(-75)) + 3. Let i = x - -426. Solve -8 = 3*l - i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*w**2 + 68*w + 78*w - 146*w.\nAnswer: -141*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/20*43\/387*1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42079*d + 50 = -42029*d. Let y = -4 - -2.8. Let n = y - -0.3. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*u**3 + 14*u**3 + 158*u**3 + 233*u**3 - 104*u**3.\nAnswer: 550*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - 117. Let c = u + 152. What is the smallest common multiple of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 210\/1)\/(-1). Let w = 1460\/7 + o. Let l = 12.81 + -12.51. Which is the third smallest value? (a) -3 (b) l (c) -2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 24*a**2 + 26*a - 124. What is the remainder when n(8) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**3*n**2*z + 2*g**3*n**2 + g**3*n - 95*g**3*z - 90*g**2*n**2 - 4*g*n*z wrt z.\nAnswer: -g**3*n**2 - 95*g**3 - 4*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 - 80191.12?\nAnswer: -80193.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*n + 9*n. Let z(g) be the second derivative of 0*g**4 + g**3 - 1\/10*g**n - g - 2*g**2 + 0. Solve z(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.9. Let k = 3 + -6.5. Let h = 4 + k. Sort l, 1, h.\nAnswer: l, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 9. Let i = 1 - 0. Let j be 2*i*(1 + 0). Sort j, -5, n in descending order.\nAnswer: n, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 2 - 16. Solve -2*z = -5*m + 11, -u*z = m - 4 - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l + 36728 = 37*l + 4*s, 27547 = 3*l + 2*s. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:55 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 648 and 9156.\nAnswer: 494424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*a = 92, 4*a = -3*s - 277338 + 277402 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57992835 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 127, 158, 213, 298, 419, 582?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, -10, -131, -330?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9169*k**4 + 3731787*k**3 - 1628*k**2.\nAnswer: -k**2*(k - 407)*(9169*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*k - 5*f, 4*k - 3*f = 117 + 132. Suppose -4*o + 206 = k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3602, -3606, -3612, -3620, -3630, -3642?\n\"Answer: -u**2 - u - 3600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78777 - 2*j**2 - 78777.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4198 (base 10) to base 7.\nAnswer: -15145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-1 + 2) - (1821 + -1812).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1814.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28940167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -820101782107 and -11.\nAnswer: -820101782118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1376, -1065, -460, 511, 1920, 3839?\nAnswer: 6340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from sddssdsssdsddsddsd.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2)\/sqrt(4) + sqrt(102)\/(sqrt(6) + sqrt(54)).\nAnswer: 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.41 + -3.3. Let k = h + 0.89. Which is the nearest to -2? (a) 2 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 - 95 - 7*y + 18*y - 8*y.\nAnswer: 3*y - 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 - -0.02. What is the closest to -1\/2 in -4, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*((d*d**(7\/4)\/d)\/d)\/d)**(2\/29)*((d*d*d*d\/d**(-20)*d)\/d)\/(d\/(d\/((d**26\/d)\/d))))**(-3\/8) assuming d is positive.\nAnswer: d**(-9\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 8*u**2 + 4*u + 8. Let j(b) = -b**2 + 27*b - 19. Let i be j(26). What is z(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - -0.9. Let p = i - 2.5. Sort 4, p, 1 in ascending order.\nAnswer: p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1906 - -1311. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (9 - (-6 + 26))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -702864*j - 702861. Calculate w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 252. Suppose -4*q + 106 = r, -13*q - 695 = -8*r + 3*r. Calculate the greatest common factor of r and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6748675 + 3*g + 6748675.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7158533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -11. Let r be 3\/15 + 29\/5. Let x = 4 + r. What is the remainder when b is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*m**3 + 20*m**3 + 45*m**3)*(7 - 2 + 3)*(-3 + 0 + 0) to s + a*m**3 + g*m**2 + b*m and give a.\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 2569 = 4158. Calculate the remainder when y is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(-22))\/(7\/4) + 678\/21. Solve -5 = -x*y + 31*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36863 is divided by 87.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 14*h - 85 - 13 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 d, and 1 p when four letters picked without replacement from hppdllllhlllph?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3913 by 7.\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-12)\/7)\/3)\/1 + (-291)\/(-7). Sort 2, -3, p, -5, -6 in ascending order.\nAnswer: -6, -5, -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 279*n**5\/5 - 7*n**3\/3 + 22*n**2 - 2*n - 1220. What is the third derivative of i(j) wrt j?\nAnswer: 6696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = -19*w + 160. Suppose t - 53 = -4*q + 1, -61 = -w*q + 2*t. Let j(o) = 3*o - 3. Calculate the smallest common multiple of j(2) and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8741+-1.6315524765\nAnswer: 0.2425475235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1924326 (base 10) to base 7.\nAnswer: 22233165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/31, 0.4, 0.031, 4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43006207*c*s - 18620681*c wrt s.\nAnswer: 43006207*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = -5*j - 42. Suppose -72*k - 29040 = -72*k - 165*k. Calculate the common denominator of 61\/10 and -3 - (11\/k)\/((-1)\/j).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51639228323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 12*y - 4*y**2 + 18*y**2 + 1 + y**3. Let r be f(-12). Does 12 divide 1 + r - 4*(7 - 60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (10 - 1)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 23. Let r be f(4). Suppose -4*j + 6*y - y + 22 = 0, r*j - 7 = -y. Solve 9\/2*i**2 - 3*i**j - 3*i + 3\/4 + 3\/4*i**4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144194.\nAnswer: 2, 17, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -7, -9, -11, -13, -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/536 and -3\/16.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1168424l to millilitres.\nAnswer: 116.8424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6*(-5)\/(-50). Let x = 0 + -1. What is the nearest to x in 1\/8, q, 1\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 - 4*j**2 + 2*j**2)*(12*j**2 - 17 + 2*j + 6 + 9) to the form q*j**4 + i*j**2 + v*j**3 + r + p*j and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112036756 is divided by 712?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2, -11 in ascending order.\nAnswer: -11, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 1716.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - w + 0*w + 0*w + 2*w + (-4*w + 2*w + 4*w)*(1 - 4 + 7))*(12*w**4 - 23*w**4 - 17*w**4).\nAnswer: -252*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/240917949 and 31\/9.\nAnswer: 240917949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5156182780 + 5156182780 - 4*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -374694379.6 minus 95?\nAnswer: -374694474.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186606.\nAnswer: 2, 3, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -105*y - 4. Let j be u(-3). Suppose -3*p + 5*x + j = 0, 4*p - 155 - 269 = 2*x. Suppose -4*o = -25 - p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 3. Let q be p(2). Suppose -2*t - 2*j - 43 + 103 = 0, 0 = q*t - 4*j - 141. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:03 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 73 = 2*o, -8*o - 3*p + 141 = -4*o. Let n = -5 + 35. Let h = 2 + n. Calculate the smallest common multiple of o and h.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 - 76. Let k = -40.4 + i. What is the third biggest value in k, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 81 - 611 - 188. Suppose 0 = 4*i + 28 - 108. Calculate the greatest common factor of i and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, 12\/13, 3, 1.2, -2\/3, 6 in decreasing order.\nAnswer: 6, 3, 1.2, 12\/13, 2\/55, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 94 - 81)*(7*g - 2*g + g)*(-5*g + 0*g + 4*g).\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 8:25 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 5. Let k(h) = -97*h - 27. Determine -k(g) - 6*o(g).\nAnswer: 85*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25559145+2\nAnswer: 25559147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*j - 0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529279254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4250 - 35?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0088 + 0.8\nAnswer: 0.8088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 60. What is q(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.669754771 rounded to 4 dps?\nAnswer: 1.6698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(225) + sqrt(225) - sqrt(225))\/sqrt(9))\/(2*sqrt(500) + sqrt(5)).\nAnswer: -sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192 - 124. Suppose 6*s = -11*s + y. Solve -s*i + m = -15, 0*i + 18 = i - 5*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22071 + 8402. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {i: 1, s: 1, b: 2, o: 4, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5952, -11922, -17880, -23820, -29736, -35622?\n\"Answer: p**3 - 5977*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/60 + l**4\/24 + l**3\/6 - 5*l**2. Let a = 2504 - 2503. Let o(h) = -5*h**2 + 5*h + 4. What is a*o(u) - 4*z(u)?\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*s + 38*s**4 - 79*s**3 + 79*s**3 - 36*s**4 + 2*s**2 to u*s**2 + f*s + m + n*s**3 + p*s**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000001 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-15)*2580\/1161?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c - 10. Let r be p(7). Let q be (r\/(-3))\/((-1)\/(-141)). Let m = q + -50. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmzjxqqqqjbx. Give prob of picking 2 x, 1 j, and 1 z.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100010100?\nAnswer: 100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - -2 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5563837\/24 > -231828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279.458975 rounded to 1 dp?\nAnswer: 1279.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 8*c - 5. Let m be a(9). Suppose -m - 1 = -5*y. Let n(d) = y + 7*d**2 - 3*d - 5*d**2 + 7*d. Determine n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((12\/(-6))\/(1*-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.8483532 to three dps.\nAnswer: 19.848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 0 + 0)*(52*r + 22*r - 112*r)*(-4 + 2 + 4) to the form t*r + i*r**2 + z and give i.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199890 + 1860*g - 199890)*(-4*g + 3*g + 0*g).\nAnswer: -1860*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -172*n**2 + 9*n - 79. Let g(z) = 85*z**2 - 4*z + 39. Let x(j) = -9*g(j) - 4*m(j). Let v(s) = 13*s**2 + 6. Give 35*v(c) + 6*x(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 56*z**2 - 74676*z**3 + 74677*z**3 - 67*z**2 as u*z**3 + s*z + i + w*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 57.96 * 3\nAnswer: 173.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -339, -179, 269, 1149, 2605, 4781, 7821?\n\"Answer: 24*u**3 - 8*u - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.045, 1.7, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1425704844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 58. Solve -3*o = c*o - 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40458 is divided by 2246.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1999*i**3*y**2 + 4*i**3*y + i**2*y - 2*y**2 + 228*y wrt y.\nAnswer: -3998*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxmxmmrmz. What is prob of picking 2 m and 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 411701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.73 + -0.13. Let d = 0.6 - o. Let m = -13603 + 13603.01. What is the closest to d in m, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*l**4 - 55 + 44 + l + 15 + 31 wrt l.\nAnswer: -292*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - o = -16, -5*u = 11096*o - 11091*o - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/168 and -31\/432.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p - 2*x + 86, -6841*x + 34 = -4*p - 6846*x for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-10))\/((-31)\/(-30) - 1). What is the greatest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424938*m + 6 = 424935*m - 24 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*t - 8, 3*h = 2*t + 2*t - 21. Let b be (3*6)\/2 + 1. Let a = b - t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 5\/21*m**6 + 2\/7*m**4 - 9\/7*m**2 - 4\/7*m - 4 + 24\/35*m**5 - 20\/21*m**3. Solve z(v) = 0 for v.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 4:27 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425 and 1350.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/197805?\nAnswer: 2\/197805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 7 + 3*x - 4 + 2. Suppose 0 = 5*c - 35. What is the remainder when z(13) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251455300 (base 7) to base 6\nAnswer: -1323345221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1316*n + 461935. Calculate the remainder when 10\/(-1)*14\/(-5) is divided by r(-351).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*z - 0 + 3, 0 = r - 3*z + 1. Let i be (-64)\/(-108)*((-84)\/16)\/7. What is the nearest to 1 in r, i, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h*h\/(h*h**(-5)\/h*h*h))**(-13) assuming h is positive.\nAnswer: h**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 124 = -34. What is the greatest common divisor of 165 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 6621?\nAnswer: 26484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 671000 and 19056400?\nAnswer: 95282000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 11. Let b be s(8). Suppose -c = 4*c - 3*u - 30, -u = b*c - 18. Find the second derivative of -c*d**2 + 0*d + 5*d**2 + 5*d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 7, m: 11, h: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 0*y + 9*y)*(-5*y**2 + 5*y**2 - y**2) to t*y + g*y**2 + w + u*y**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 65 + 6*j)*(2*j**2 - 2 + 2).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*sqrt(112)\/sqrt(2) + sqrt(896) + sqrt(896) + (sqrt(896) - sqrt(896)*1)))\/(5*2*(sqrt(64)\/sqrt(2) + sqrt(80)\/(sqrt(10)*1))).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255*g**4*n**3 - 86*g**2*n**2 - 2*g*n**3 wrt g?\nAnswer: -6120*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h\/h**(2\/43)*h)\/h*h\/(((h\/(h\/(h*h**(-23))))\/h)\/h))\/(h\/(h*h**(1\/2)\/h*h))**(-22))**(27\/4) assuming h is positive.\nAnswer: h**(19683\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 39*x + 20. Let p(a) = 24*a + 12. Let b(s) = 10*p(s) - 6*y(s). Let h(o) = 127*o**2. Give b(h(l)).\nAnswer: 762*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 3254427 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l + 1. Let c(q) = -29*q + 3. Determine -4*c(z) + 14*s(z).\nAnswer: -24*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -75*q**2 + 2*q. Let h(i) = 5*i**2 + 42*i + 130*i - i**2 - 172*i. Determine k(h(l)).\nAnswer: -1200*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*v + 21 = q, -3*v = -q - 12. Is ((-955)\/q)\/(27\/81) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, r: 7}. Give prob of picking 1 h and 1 r.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 1.2. Sort -4, f, 2\/17 in descending order.\nAnswer: 2\/17, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -469c2 + -5?\nAnswer: -469c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126.996 - -127. Let t = -30.004 + y. Let r = -30.000129 - t. What is r rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100202212222 (base 3) to base 5\nAnswer: 22123444","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**9\/7560 + r**8\/840 + r**7\/210 + r**6\/90 + r**5\/60 + r**4\/8 - r**2. Let n(j) be the second derivative of m(j). Factor n(p).\nAnswer: 2*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*u - 698 - 835 = 531 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 13 + 168 = -5*h, 0 = -2*o + 3*h + 77. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16816 - 2.\nAnswer: -16818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n. Let t(a) = 1915*a. What is u(t(w))?\nAnswer: -7660*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 10*b**2 + 20. What are the prime factors of d(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/18 + (-72)\/54?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 4\/3 (c) -4 (d) 5 (e) -1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -2\/7, -82, -51.2, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435160 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -40*(-15)\/((-90)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 15, 0, -3, 80.3, -5, 5.\nAnswer: -5, -3, -0.5, 0, 5, 15, 80.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50234138\/557 - 90187. Is l > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/11 + 237\/(-33) - 9. Let n(v) = -33*v - 43. Let r(o) = -100*o - 128. Let i(b) = -11*n(b) + 4*r(b). Is i(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:06 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*p + 85, 5*p = k + 2*p + 37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7423006, -29692014, -66807026, -118768042, -185575062, -267228086, -363727114?\nAnswer: -475072146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 0 + 11*j - 1 + 13*j**2. Let w(o) = -9*o**2 - 9*o + 1. Suppose 246*n - 462 + 770 = -922. Give n*t(d) - 7*w(d).\nAnswer: -2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15278749399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207 - 415 + 786*h**5 + 208 - 710*h**2 - 301*h**5 wrt h?\nAnswer: 29100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let g(i) = 14*i + 586. Let t(h) = 10*h + 585. Let u(j) = 3*g(j) - 4*t(j). Calculate u(r(p)).\nAnswer: 4*p**2 - 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -4, 0.127?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 12*m + 0*m + 5*m to the form b + t*m and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19724761487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59\/21 + -2\/3. Find v such that 0*v + k*v**3 - 12\/7*v**4 - 3\/7*v**2 + 0 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 7, l: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2 - 6456216*g + 5210340629832 = 0?\nAnswer: 1614054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4989?\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 + b + 17. Calculate d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 14. Suppose 4*g - 9 - x = -2*c, -3 = 3*g. Let w be (102\/9)\/(2\/c*2). Calculate the greatest common divisor of 136 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -42*l + 26*l. Solve l*v + v = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122? (a) 11\/4 (b) 3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -258 - -1766. List the prime factors of v.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633631 - 4509?\nAnswer: -1638140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 15*g**2 - 14*g - 18. Suppose 3*t - 34 = 2*q, -4*t + q + 36 = -4*q. Let i be m(t). Let h = i + 42. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.8 + 1.3. Let n = -177.4 + 238.9. Let w = n - t. What is w rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-21)\/140*(8\/(-111))\/4?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 6.1. Let r = 1441\/12 + -120. Which is the third biggest value? (a) g (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 40. Let y(c) = 19*c - 130. Let r(w) = 13*u(w) + 4*y(w). Let t(l) = -98*l. What is t(r(i))?\nAnswer: 196*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5402*n**2 - 11*n + 7. Let f be g(-5). Let l be 2\/(-5) + f\/30. What is l rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-2 + (-20)\/(-6)). Let i(z) be the first derivative of 6\/5*z**3 + 2 - 4\/5*z + 2\/5*z**5 + 1\/5*z**2 - 13\/10*z**k. Find m, given that i(m) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -4, -1, -5 in increasing order.\nAnswer: -12, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g + 4*s = -39*g, 0 = g - 2*s - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - (sqrt(77) + sqrt(77)*1 + sqrt(77))) + sqrt(77)*1*1)\/((sqrt(11) + 3*sqrt(11)*1 + (sqrt(44)*-1 - sqrt(11)))*4).\nAnswer: 13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6629.123kg in milligrams?\nAnswer: 6629123000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1704008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/4 + (1 - -1). Let f be 3\/(-9) - 5\/3. What is the remainder when (s*f - -3)*29 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than 702804\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280\/15*27\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/4*(-22468)\/(-685))\/4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g - g)*(-3*g**2 - 2*g**2 + 3*g**2) - 30500399*g**2 + 30500399*g**2 - 7 - 22*g**3 as d*g**3 + q*g**2 + y*g + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3eb5 - -89?\nAnswer: 3f3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 201 = 795. Let t = 1780\/9 + l. Put -0.4, t, -1 in descending order.\nAnswer: t, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2*d. Let j be q(-3). Suppose -4*g - 71 = -5*z - 26, -5*z + 5 = 4*g. Suppose j*p = 3*x - z*x + 27, 2*x = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*w + 30, -w - 10 = 4*n - 60. Let g = -1 + -3. Let d = n + g. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133650*r**2 + 66255*r + 2586 = 0.\nAnswer: -2\/55, 431\/810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1109, -4766, -10973, -19730, -31037, -44894?\n\"Answer: -1275*t**2 + 168*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.427 and -0.1.\nAnswer: 1.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1171*t**3 + 2*t**2 - 2*t. Let d be c(1). Let a = -612 - d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2027192.\nAnswer: 2, 43, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9641, -38503, -86607, -153953, -240541, -346371?\n\"Answer: -9621*w**2 + w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -103\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1715\/21 + (-1)\/(-3). Suppose -10*k = -11*k + m. Calculate the remainder when k is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/4 + 5322696*k**2 + 21290787*k + 21290788 = 0. What is k?\nAnswer: -2, 21290788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 11:16 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 38 - 10) + 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4962821890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*l**3 - 50*l**3 - 226*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -549 - -2013. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q**5\/15 - 124528*q**4\/15 + 103834*q**3\/5 - 70118*q**2\/15 - 101248*q\/15 - 5192\/5 = 0.\nAnswer: -3894, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -35*l**2\/3 + 151*l\/6 - 11\/3 = 0.\nAnswer: 11\/70, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 28*x - 232 = 0, 270*y - 26 = 133*y + 132*y + 2*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 473.7272 hours?\nAnswer: 28423.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)\/((-3)\/9). Suppose -5*p = -8*p + 9. Suppose 8 = -p*y - 4. Put 5, 2, r, y in descending order.\nAnswer: 5, 2, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 + 24 = 4*p, 3*j = 2*p - 7. Let m(n) = -4*n**2 - 2*n - 3. Let h(c) = c**2 - c - 1. Let w(a) = 3*h(a) - m(a). Give w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.01689926 and -21.\nAnswer: -30.01689926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 != -46583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214611 is divided by 695.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 86404811 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 756663 + 15?\nAnswer: 756678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2271\/1820 + 1\/455. Factor 5\/2*h**2 + 5\/2*h**3 + 5\/4*h + s*h**4 + 1\/4 + 1\/4*h**5.\nAnswer: (h + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -375. Let v = k + 344.9. Let t = v + -16.89893. What is t rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594.619 grams in kilograms?\nAnswer: 6.594619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, e: 2, u: 4, a: 3}. What is prob of picking 1 y and 1 a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333.5 + 334. What is the second biggest value in b, -4\/21, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m, -10*p + 15*p - 9 = -2*m. Let f be ((4\/p)\/(-12))\/(7\/(-42)). Solve 4*w - 14 = -f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c + 16*c + 19*c - 58*c + 15*c. Let k(t) = -4*t - 33. Give j(k(q)).\nAnswer: -16*q - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 59 = 31 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325 (base 13) to base 11.\nAnswer: -44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0*((-36)\/8 - -4))\/(-2). Suppose f = 3*b + 18 - 54. Calculate the greatest common factor of b and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*y**4 - 18*y**3 - 34*y**2 + y + 11618573?\nAnswer: 180*y**3 - 54*y**2 - 68*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6587*y**3 + 354*y**3 + 1234*y**3 + 8799 wrt y?\nAnswer: -14997*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2\/3 - 110816414*l\/3 - 3070069402954849\/3 = 0.\nAnswer: -55408207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c**2\/6 - 111550*c\/3 - 20282\/3.\nAnswer: (c - 20282)*(11*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Suppose 2*a + 18 = k*a. Let n be 2\/(-8) + a\/(-28). What is the third biggest value in n, -2\/3, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 3430?\nAnswer: -3392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 + 658*a**3\/3 + 5207*a**2\/3 + 4550*a\/3.\nAnswer: a*(a + 1)*(a + 7)*(a + 650)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 81.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t**5 + 6906*t**4 - 25419*t**3 + 18516*t**2 + 9252*t = 0 for t.\nAnswer: -771, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 - -0.2. Let j = 674 + -609. Let r = -62 + j. Which is the second biggest value? (a) q (b) r (c) -1\/3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + -2 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/((sqrt(55)*1)\/sqrt(11)) + -1 + sqrt(20) + 0)**2.\nAnswer: -6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 2 + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.44 - -10.99. What is d rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-1))\/(-1*6\/72*2*-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 39 + 119. Suppose -15*k - 3*d - 20 = -14*k, -5*d = 13*k + 90. Sort k, p, -4 in ascending order.\nAnswer: p, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k + 6. What is r(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c**7\/c)\/(c\/c**2))\/((c*(c**(3\/4)\/c)\/c)\/c*c**(-2\/5)))**42)**15 assuming c is positive.\nAnswer: c**(13419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/5 (b) -34 (c) 2\/9 (d) 3 (e) 13\/40 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 = -2*j, 4*s = -0*j + j + 21. Suppose -3*w = -3*q - 33, -3*q + s = 5*w - 26. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1379 divided by 1379\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.98 + 29.98. What is the third biggest value in -3, 0.6, -1\/3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 + -107. What is the hundreds digit of 36134\/r + ((-120)\/95)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177657.\nAnswer: 3, 59219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -16*f + 3. Is s(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853012989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 29 = -17*k - 14. Solve 2*o = 4*o - 4*y - 8, -k*y = 5*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y + 332. Let t = -44 - y. Suppose 0 = -5*v - 0*v, 3*k - 3*v - t = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1094 or 1089?\nAnswer: 1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 7*g + 8. Let z be x(6). Let f(k) = -7*k + 10 + 4 - 6 - z*k. Let u be f(6). What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 1, x: 6, o: 7}. Give prob of sequence xoom.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -227, -210, -189, -164, -135, -102?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -9)*(-4)\/(-6). Let s be (-1722)\/28 - o\/4. Let n = -18 - s. Calculate the common denominator of -31\/4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 + 15 - 31*j**2 + 68*j**2 - 15 - 25*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5907019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 7 - 3*a**4 + 6*a**2 - 6 + a**4 - 3*a in the form m*a**3 + j*a + f + i*a**2 + r*a**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(12 + (-6)\/3). Let k = 11 + s. What is the derivative of -1 - k - 3*b + 0 + 5 wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*p - 20 = 0, -3*a + p + 10 + 6 = 0. Let m be ((11 + -18)\/a)\/(2\/(-10)). Solve y = m*u - 10, 0 = -2*y + u - 3 + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 - 190. Solve -3*q - 1 + 7 = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(567) + -2*sqrt(567))*6 + sqrt(567)*2 + 1 + sqrt(567) + (4 + 1 + sqrt(567) - sqrt(567)))**2*6*5.\nAnswer: 38880*sqrt(7) + 170370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*u - 1\/6*u**2 - 98\/3.\nAnswer: -(u - 14)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39931220?\nAnswer: 2, 5, 7, 23, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 68. Let q be d\/((-4)\/(-16)) - 1. Factor 16*m**2 + 15*m**3 + 0*m**q - 13*m**3 + 10 - 2*m**2 + 22*m.\nAnswer: 2*(m + 1)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b. Suppose 4*n - 17*n = 0. Let t(q) be the third derivative of 0*q + 11*q**2 + 0 + 0*q**4 + 1\/30*q**5 + n*q**3. Give y(t(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*h + 33, 29 = 3*q - 0*h + 2*h. Suppose q*a - 4*a = 0. Solve 5*j + 0*j = a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Suppose -4*h - 9 = 2*w - 33, 2*w = -3*h + 20. Solve -4*k + w*g + 20 = x, -2*k + 7*k + 3*g - 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 1\/4 (c) -1 (d) 2\/3 (e) -2 (f) -15.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose 4*q = -3*u + 284, -2*u + g*u + 214 = 3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 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: Calculate the common denominator of 35\/10112 and -145\/3792.\nAnswer: 30336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11612774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(0\/2 + -1). Let l(p) = 4*p - v*p - p + p. Let f(u) = 48*u. Let o(z) = 2*f(z) + 32*l(z). Let n(d) = d**2. Give n(o(s)).\nAnswer: 1024*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -330779070 rounded to the nearest 1000000?\nAnswer: -331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8197637.\nAnswer: 7, 23, 59, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 greater than 462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 - 22*z**3 - 6*z**3)*(-13 - 4 - 9) + 5*z**3 - 4*z**3 - 3*z**3 to l*z + b + j*z**3 + k*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 23.7. Let j = -0.1 + l. Which is the closest to -0.1? (a) j (b) 1\/11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**3 - 2 - 12*x - 14*x**3 + 11*x**2 - 17*x + 6*x**3. Let r be c(5). Suppose 4*s + 0*s = 5*g - 8, 0 = -4*g - 4*s - 8. Solve k + r = -g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21412 + -13952. Calculate the greatest common factor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*880\/750 + 12\/(-2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 301.453 times -22\nAnswer: -6631.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 2*j**3 - 1\/4*j**4 - 22 + 9*j - j**2. Calculate x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566216369 a multiple of 3221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 10 (b) 3 (c) -2\/11 (d) 2\/59 (e) 1340 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344201.4 milligrams to micrograms.\nAnswer: 344201400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 92 = -3*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 v when four letters picked without replacement from {v: 2, t: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n - 8. Let x(u) = -u**3 + 8*u**2 + 38*u - 318. Let z be x(7). Let d(j) = 11*j + 16. Calculate z*d(g) - 5*c(g).\nAnswer: -3*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45643*b**2 + 25 + 46681*b**2 + 60 wrt b.\nAnswer: 2076*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x**2 + x. Let v be n(-1). Solve -v = -22*t + 54 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3\/2 + 9\/2*v + 3*v**2 = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2454 - 1154?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 524*n**4 + 456.\nAnswer: 2096*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 8*g + 5. Let k be a(-8). Suppose -4*c + k + 7 = -p, c + 18 = -5*p. Suppose -3*z + 5 = -1. Solve -z*m = c*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1150, -1172, -1210, -1264, -1334, -1420?\n\"Answer: -8*f**2 + 2*f - 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1101200121201 (base 3) to base 7\nAnswer: -6206545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.977 and 121?\nAnswer: -4716.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t - 65. What is h(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 696*a - 1312*a + 614*a - 686*a**2.\nAnswer: -686*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 5*k**2 + 149*k - 297*k + 131*k.\nAnswer: -5*k**2 - 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13370194 * 0.4\nAnswer: -5348077.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22257, -22258, -22259, -22260, -22261?\nAnswer: -22262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050032006 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/14209410 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-574)\/8*122096\/(-106834)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3 (c) 1\/3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from gbgllllblllg.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2977 + 48965 = 6*t. Suppose 4*u - 3539 = t. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -1\/2*y**4 + 1 + 0*y**2 + y + 0*y**3. Determine c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 2*q + 2*q + 2)*(8065690*q - 4034011*q - 4033633*q) to r*q**2 + w + c*q and give r.\nAnswer: -3908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -24889.\nAnswer: -24894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = -446 - 82. Suppose -5*n - 2*q = -h, n + 4*q + 3 = -1. Sort n, 59, -2 in ascending order.\nAnswer: -2, n, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -31. Let s(l) be the second derivative of 0 + 1\/2*l**2 + 1\/6*l**3 + 2*l. Calculate s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873109953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - 10*d**2 - 5*d + 33. Let o be q(7). What is o rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/47 (b) 3 (c) 0.08 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -20 + 23 - (-17 - 2) - 47?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71679628 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 671\/4 + -167. Let m = 114039 - 114034. Suppose -4*t - 4 + 20 = 0. What is the third smallest value in 1\/9, t, g, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(t + 174 - 100 - 99).\nAnswer: t - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 696\/15 + 6\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 30 - 5 = 0. Suppose -2*z + 6 + 76 = 4*c, 2*z + r*c = 82. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 2*z**2 - 3*z. What is the lowest common multiple of -2*(13 + -7)\/12*-80 + -8 and k(-2)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141886.5*0.5.\nAnswer: 70943.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17110, 37431, 60970, 87733, 117726, 150955, 187426, 227145?\n\"Answer: r**3 + 1603*r**2 + 15505*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 46*t + 247. Let i be b(-5). Suppose 5*y - 4*h = 1936, -12*y + i*y + h = 1916. Calculate the highest common divisor of 288 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*n = -287505, 4*t - 4136 = 5*n + 225832. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305564 or -611127\/2?\nAnswer: -305564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 6:55 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-20)*((-5625)\/30)\/(-75).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-3) + -4)\/((-2)\/(-100)). Let r = -97 + z. What is the tens digit of (2\/6*-3)\/(r\/(-63))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2*f - 3. Let r be w(-2). Suppose -4*z + 2*h = z - 17, 4*z = r*h. Suppose -z = s - 9. Solve 1 = a + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = -10. Let i be -3 + (0 - -2) + d. What is the common denominator of -25\/6 and i\/90*-3*-13?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 11*q**2 - 13*q + 16. Let m be v(12). Suppose 0 = b - 4*b - m*a + 12, 12 = 3*b + a. Let s be 2 - (-1)\/(-1)*-1. Solve h + b = s*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = -15. Suppose -b = -4*l + 13. What is the second derivative of -5*v**3 + 2*v - 3*v**4 + 7*v**l + 5*v**3 wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 209897483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -638 - -1256. Let k = r + -618.0287. Round k to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 93*v**3 + 5*v**2 - 28*v - 127. Calculate x(-3).\nAnswer: -2509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(35)\/(sqrt(5) - -1*sqrt(10)\/sqrt(2)))**2.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*h - 55*h = -113*h + 1690 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 29*a + 31*a - 4 = 0, -4*j + a + 8 = 0. Solve -2*x + 0*x - 5*h = 11, -5*x - j = 4*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wrrrw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.18 + -0.18. Let i = -3 + u. Let p = -1.5 + -0.5. Which is the smallest value? (a) p (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1000011?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50261, 50250, 50239?\n\"Answer: -11*l + 50272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {o: 10, i: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 31, 46, 61?\n\"Answer: 15*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 21364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17727 - 1379. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*k + 6*k**2 - 5*k**2 - 47 + 45 to c*k**2 + z + w*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 9*z**3 - 9*z**3 - 3*z**5 + 5*z**5 - z**5 + (-2*z + 1 - 1)*(-3*z + 3*z - 2*z**4) + 24*z**2 + z**5 + 0*z + z**5 - 2*z.\nAnswer: 5*z**5 + 24*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 29*s - 341. Let r(q) = -13*q + 171. Give 4*a(g) + 9*r(g).\nAnswer: -g + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o - 12, 2*o = -2*b + 158. Suppose 0 = -4*k + 2*c + b, -36 - 24 = -3*k + 2*c. Let u = 1157 - 1153. Solve 3 = 2*n - d + 1, 2*n + u*d = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1 - (sqrt(156)\/sqrt(4))\/sqrt(3)) + sqrt(325) + 1 + -5)**2.\nAnswer: -48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 2 = 4*p. Let q(r) = 3*r**2 + r + 15. What is the tens digit of q(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**3 + 3*a**2 + 5*a - 5. Let k(f) be the second derivative of f**5\/20 + f**4\/12 - f**3\/6 + f**2\/2 + 14*f - 64. What is -5*k(w) - y(w)?\nAnswer: 3*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 (base 11) in base 16?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 16. What is n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 10*w**2 - 4*w + 3. Give q(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2 + (1 + 0 - 3)*(2 - 1 + 1) + 1 - 1 - 2)*(5*y + 2*y - 5*y).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -20.92. What is the third smallest value in -0.7, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 1792?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2681 and 54\/54769.\nAnswer: 383383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:19 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from wwwwzrzwwrw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -566\nAnswer: 5094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 0. Suppose 3*l - 1 - v = 0. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8438498 to the power of 1\/2, to the nearest integer?\nAnswer: 2905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3567 and 1653.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose 2*g = g - d. Sort 7, g, 0 in increasing order.\nAnswer: g, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = -j. Let g(b) = -2*b - 5. Let m be g(-5). Put m, -5, j in increasing order.\nAnswer: -5, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 1, l: 1, o: 1, j: 2, p: 2, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/7, 162, 0.8, -47?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131604 and 743762.\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3911858?\nAnswer: 2, 853, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -80. Suppose -6*d - 2 + 14 = 0. What is the remainder when k is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/8 + 2\/4. Suppose -c*p - 4 = -o + 12, 0 = -4*o - 4*p. Let m = -12 - -7. Sort m, o, -1 in descending order.\nAnswer: o, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 3. Let h be p(-2). Let b be ((-6)\/(-18))\/(h\/(-3)). Suppose -3*t + 5*k + 18 = 0, t + 16 = 2*k + 24. Sort b, t, 6, -2 in increasing order.\nAnswer: t, -2, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/72)\/(48546\/158224)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let n = -50 - -49. What is the units digit of n - 1 - (-13 + l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let i = -2 + c. Suppose 1 = 2*u - 3. Sort 5, u, i in descending order.\nAnswer: 5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/9 (b) -2 (c) 7074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p + 5*p - 3*p - 2*p**2 wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 7aa333?\nAnswer: -7aa337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6184697\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:49 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 15. Let w be 1\/(-6) - 19\/(-6). Let u(a) = -a**3 + 4*a. Let m be u(w). List the prime factors of n(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/((-592)\/(-800)))\/((1566\/81)\/(-29))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10659, -21289, -31919, -42549, -53179?\nAnswer: -63809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*s - s. Let a = -34 + s. Suppose 0 = 2*p + 2*u - 272, a*u = -4*p + 26 + 528. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 594*t**3 + 168 wrt t?\nAnswer: 1782*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-8 - -3))*82\/3. Let w = g - -145. List the prime factors of w.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 1141*g**2 - 27956*g + 97. What is t(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 4*x + 2*x + (-3*x + x + 4*x)*(1 - 3 + 1) + 2*x - 8 + 65 - x)*(-1 - 2 + 6)*(-5 + 1 + 3) in the form t*x + u and give u.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700992?\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 237 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 8 + 0 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -10d?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9715.426 centuries in decades?\nAnswer: 97154.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4768 is divided by 281?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let z be -4*(-2 + 1 + 0). Suppose 5*i - i = z. Is y greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02387332 rounded to five dps?\nAnswer: 0.02387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -122. Let t be g\/4*((1 - -5) + -2). What is the remainder when 28 is divided by (-780)\/(-50) + t\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 4*g**3 + g**3 - 6*g**3 - 11 + 7*g - 9*g**2. Let p be t(-9). What is the first derivative of -5 + 2*x + p*x - 3*x wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460894 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100.8 - 101.8. What is the smallest value in -0.4, 2, -15.2, q?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppd when four letters picked without replacement from ppdppddppdpdp.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54772?\nAnswer: 2, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 923978600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Let w = -29\/95 - -2\/19. What is the nearest to 1\/5 in w, n, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8533 (base 12) to base 11\nAnswer: aa58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1192, -4835, -10904, -19399, -30320, -43667?\n\"Answer: -1213*c**2 - 4*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h - 2. Give r(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0231 - 0.0231. Let d(i) = -i**3 + 6*i**2 - 4*i - 1. Let z be d(5). What is the second smallest value in -14, f, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*m + 9, o = 4*m - 15. Let c(r) = 138*r**3 + 2*r**2 - r. Let s be c(o). Let n = s - 55. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938934.395 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-24))\/b**(-20)*(b**(-23))**13 assuming b is positive.\nAnswer: b**(-302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*w + 2*u, -5*u + 17 = -2*w + 5. Let i(p) = -512*p**2 - p. Let y be i(w). Let x = -294 - y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -305, -1166, -2487, -4172, -6125, -8250?\n\"Answer: 16*g**3 - 326*g**2 + 5*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/48 + ((-1726875)\/(-3780))\/25 + (-1)\/(-7)?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(91)*-6*6)\/(sqrt(49)\/(sqrt(7)*-1) - 1*(sqrt(28)\/sqrt(4) - sqrt(7))))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9908104 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(14 - (-2280)\/(-75)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8290 and 1116472330?\nAnswer: 8290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (388 + 60 + 308)*(-3*q + 3*q + q).\nAnswer: 756*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*g - 8 + 4, 22*p = 3*g + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36771\/10 + -3681. Suppose 0 = 266*v - 275*v - 27. Is b at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - -31. Let x be 1\/(j\/48 - 1). Suppose 146 = 2*k + x. What are the prime factors of k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naaataaatana. What is prob of picking 2 a and 2 n?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -365403*y. Let b(o) = o**2 - 251. Give t(b(w)).\nAnswer: -365403*w**2 + 91716153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*(-152)\/(-171)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-14) + 7999991\/2. Suppose p + x = -0*x - 3999999, -m = p + 4*x. What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*a + 5*a = 15, 4*a - 1 = 3*j. Let k(r) = r**2 - j*r**2 + 3*r + 3*r**2 - 4*r. Let f(h) = h**2 + 2*h. Suppose 4*c + 4 = 5*c. Give c*k(p) + 2*f(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*6\/(-18*1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 115.1. Let f = -2297\/44 + 207\/4. Let v = f - -37\/33. Which is the second biggest value? (a) -1 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = 3. Solve -h - x - 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 18063?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2108 and 104.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*l - 10551 + 3454 = 0, 5*g + 2*l = 7109. List the prime factors of g.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1725784 + -0.4723.\nAnswer: 1725783.5277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 1, 0.2, -0.7, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -162570 and 0.2.\nAnswer: -162569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 80 - 183 = -3*o - 429, 2*o - 4*p + 126 = -42 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355576669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + b**2 - 7*b + 1. Let s be 6\/(3\/6 + 1). Suppose 2*z = -y + 12, 5*y - z = -s*z + 39. Is f(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 26 = -5*d. Let n(c) = c**3 - 5*c**2 + c - 2. Let j be n(5). What is the third derivative of 14*s**2 - 6*s**j - 21*s**d + s**3 wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -73, -114, -157, -202?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12770, -12832, -12894, -12956, -13018, -13080?\n\"Answer: -62*g - 12708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, c: 4}. What is prob of picking 2 g and 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 18*d - 135 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*j. Let b(d) = 6 + j - 3 - 7 + 9*d. Let o(s) = -5*s + 2. Let a = -4 - -9. Give a*o(i) + 3*b(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (60\/25)\/((-75)\/(-125)). Solve -2*g = -s, -j*s + 5 = -4*g + 21 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -591, -1895, -4439, -8637, -14903, -23651, -35295?\nAnswer: -50249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 12*r**2 - 352*r.\nAnswer: 4*r*(r - 8)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 10*u + 552. Give l(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - b - 425, 3 = -b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19033320 divided by -2\nAnswer: -9516660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*p**2*z - k*p**2 + 748*k*z**2 + 5*p**2*z**2 + z**2 with respect to p.\nAnswer: 6*k*p*z - 2*k*p + 10*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-2*-6 - (sqrt(63) - (sqrt(189) + sqrt(189)*1 - sqrt(189))\/sqrt(3)))\/(sqrt(900)*-3*-2 - sqrt(900)) + -4.\nAnswer: -4 + 6*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*x - 249*x - 35*x - 224*x + (-1 + 1 - x)*(-2 + 1 + 2) to the form u*x + l and give u.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.178, 3, 0, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 8) to base 15.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 1.4. Let d = 9 + -3. Let b = d + -9. What is the third biggest value in j, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/1377 + 928\/6885. Let u = 234 - 226. Let j be 296\/(-160) + 2\/u + 1. Which is the nearest to g? (a) j (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 + 2356280*s - 347003464900 = 0. What is s?\nAnswer: 294535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = -18*q + 90 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y - 10. Let b be p(-1). Calculate the common denominator of (b\/33)\/((-8)\/(-16)) and -1\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100120 (base 3) in base 2?\nAnswer: 100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 8*u**2 - 8*u + 7. Let q be f(7). Suppose -4*l - 3*v + 289 = q, 3*v = -v + 12. Calculate the highest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574322 (base 8) in base 13?\nAnswer: 6a864","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 0.3 (d) -263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + 6. Let l = -53 + i. Suppose 0 = -6*s + 9*s - 246. What is the remainder when s is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 21*s - 83. Let i be b(5). Calculate the common denominator of 1\/33 and (16\/i)\/((-22)\/16).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 150, 159, 166, 171?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1\/1)\/((-165)\/690)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 171*s - 287, -2*s - 3*s + 5*b - 242 + 392 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1987, 8109, 18311, 32593, 50955?\nAnswer: 73397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-6)\/24)\/((-70)\/1400).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 636*c - 3684. Give n(153).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*s + 34. Solve 6 = 4*n + 2*z, 14 = 4*n - 5*z - s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9069?\nAnswer: 3, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230792556 and 105642?\nAnswer: 692377668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 714*k**3 - 2664*k**3 - k + 513*k**3 + k + 718*k**3 + 712*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*j**5 + 2161*j**3 + 25189*j**2 + 4*j.\nAnswer: -600*j**2 + 12966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 - 2 = 2*g, -2*a = -2*g - 16. Let l be 20\/g*(-3 - 0). What is l rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5\/2*1)\/(75\/10620) is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2 + 23890*f - 54920428 = 0.\nAnswer: -13918, 1973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10010001101?\nAnswer: -10010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/7)*o**3*o**0\/o*o*o**(-2)*(o**(1\/8)*o**(-1\/10))\/(o**(-2)\/o**(-3)) assuming o is positive.\nAnswer: o**(-113\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*k + 283, 23 = -3*u + 8. What is the least common multiple of k and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 4, d: 1, i: 2, j: 3}. Give prob of sequence dss.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-84))\/(7\/(14\/3)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27584 or 0.14?\nAnswer: 27584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*g**4 - 86*g**2 + 90*g**2 + 425*g - 423*g in the form a*g**3 + q*g**4 + y*g**2 + o*g + k and give q.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - (-306)\/10) + 14\/35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -25, -11 = -w + 5*w - 3*k. Let u = -21 + 17. Let p = u + 8. Put 2, p, -0.2, w in descending order.\nAnswer: p, 2, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b - 10 = l, -2*l - b = -7. Solve 3*a - a - 4*d = -2, 4*d = l*a + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*p + 0*p - 8 = 0, 3*u - 1 = 2*p. Suppose 0 = -2*i + 3 + 3, -m + 5 = 2*i. What are the prime factors of (-9 - 1\/m)*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2717 and 572?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, d: 4, y: 2}. Give prob of picking 2 d and 2 u.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1243494 and 6?\nAnswer: 1243494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d - 1. Let y(s) = -4*s. Let l be (1 - 18\/14)\/((-137)\/959). Determine l*w(j) + 5*y(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69647 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkjjjk. What is prob of picking 3 j and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i + 141*i - 1397 = 723. Solve 0 = -i*q - 6 - 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69033050475\/49531365088 - -1120\/1844881. Let u = 10\/839 + i. What is the common denominator of -109\/14 and u?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17893 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110697093?\nAnswer: 3, 13, 43, 22003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 40*c - 3240 = 0. Calculate the remainder when 105 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1884 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/139482 and -179\/836892.\nAnswer: 836892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0004, 0.159, -0.3, 3?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 26.118. Let n = p + -48.118. Let r = n + 57. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224283.\nAnswer: 3, 74761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88 - -7?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82376*y**3 + 2*y - 33102.\nAnswer: 494256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 381 + 2*u**2 - 484)*(-3*u + 3*u + 2*u**3).\nAnswer: -4*u**5 - 206*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84731245.\nAnswer: 5, 16946249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 23. Let k be p(8). Let v(j) = j + 8. Let w be v(-6). Let z = 3 + w. Solve 2*n + k = z*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {y: 3, n: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*((sqrt(243) + 1 + -5 - sqrt(243))*2 - (sqrt(675)*-4 + 1)))**2.\nAnswer: -1560*sqrt(3) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 727812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17546322584.21+-0.1\nAnswer: -17546322584.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*r - 2)*(0 + 0 + 3*r + 17*r - 9*r + 18*r + (3 - 3 + 2)*(-3 + 3 - 2*r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 1, p: 4, q: 2}. Give prob of sequence wwqq.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 776 in descending order.\nAnswer: 776, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19551*p**3 - 3542*p**2 + 7089*p**2 - 19499*p**3 - 3547*p**2.\nAnswer: 52*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 8 = -2*i. Let b(q) = -i*q + q**2 + 4*q. Let s(y) = 0*y**2 - 2*y**2 + 0*y + 0*y. Calculate s(b(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -134, -268, -402?\n\"Answer: -134*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/((-8)\/(-12)). Let s(r) = -r + 1. Let m(o) = -83*o + 2. Let w(h) = t*s(h) - m(h). Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a tonne in kilograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2900 and 11500.\nAnswer: 333500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -200113331131 (base 4) to base 5\nAnswer: -4133033444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -6 - (-6 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -947, 7342, 29847, 73678, 145945?\nAnswer: 253758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 4\/3, 1\/2, 0 in decreasing order.\nAnswer: 4\/3, 1\/2, 0, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -481*t**4\/4 - 754*t + 878. Find the first derivative of i(d) wrt d.\nAnswer: -1443*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 7*j - 5. Let q be y(-5). Suppose q*u - 106 = 59. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:37 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 679, 1369, 2059, 2749, 3439?\n\"Answer: 690*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -29626 - 37269. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t**3 - 12*t**3 - 1 + 1 + 247*t**3.\nAnswer: 288*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 359300 + 17305. Suppose -5*d - f = -17*t + 12*t, 0 = 5*d - 20. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 13?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkttktttktkk. What is prob of picking 3 t?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*n - 101, 17 = 41*m - 40*m + 2*n. What is the remainder when 2056 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261931633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 - 412*v\/5 - 1254\/5.\nAnswer: 2*(v - 209)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -771671450, -771671448, -771671446, -771671444, -771671442?\n\"Answer: 2*u - 771671452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 8*y - 9. Let z be o(6). Suppose z*m = -0*m. Suppose m = -5*n + 14 + 1. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 - 7*k**3*t - 42424*k*t - 26*t - 4048 wrt k?\nAnswer: -4*k**3 - 21*k**2*t - 42424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/5 + 32*k**4\/5 + 12*k**3 - 2*k**2\/5 - 61*k\/5 - 6.\nAnswer: (k - 1)*(k + 1)**3*(k + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-3 - (-65)\/25). What is the third smallest value in r, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 12*t**2 - 17*t**2 - 34.\nAnswer: -5*t**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 6*q**2 + 6*q - 2. Let x be u(-7). Solve 0 = -5*t + x*l - 11 - 4, -6 = -5*t - 2*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101202 - -21?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 40*p - 947. Calculate the remainder when d(48) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13043 is divided by 237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4325*k - 281116. Calculate c(65).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.5, -1.1 in descending order.\nAnswer: -0.01, -0.5, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8766186 and 34034?\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 208dc (base 14) to base 11\nAnswer: 5405a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 5*i + 3025 = 0. Suppose -13 = 4*q - 113. Calculate the greatest common factor of i and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 37 - (-5 + -5 - 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*6\/(-30)*(-1)\/(-4)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*((sqrt(2448) - (-2*sqrt(2448) - sqrt(2448)))*-5 - (sqrt(2448) - (sqrt(2448) - (sqrt(2448)*2 + -5))))*3 + -4 + 2)**2.\nAnswer: -874368*sqrt(17) + 383894028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/(-3)*(2376\/10)\/(-6) is divided by 49.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2*d**3 - 7*d**2 + 132*d + 5*d**3 - 3 + 10 - 8*d**3 to the form t + i*d**2 + o*d**3 + h*d and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -2*m, -2*m = 3*a - 11. Suppose l - a = 6. Let y(z) = 12*z - 13. Is y(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - 1*(0 - 1). Let h(k) = -126*k + k**3 + 5*k**2 - 11 + 3 + 118*k. Calculate h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1086931, 1086926, 1086917, 1086904, 1086887, 1086866, 1086841?\nAnswer: 1086812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -101 + -0.3\nAnswer: -101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 6*r**2 + 4*r + 2. Let x be u(2). Is 6\/5 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*g + 17771, -35539 = -4*g + 7*y - 10*y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1970 + -1953. Solve d = -x + 3*v, -17*x + 6 = -15*x + 2*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**3 + 2*h**2 - 5*h - 2. Let l(s) = -23*s**3 - 7*s**2 + 15*s + 7. Let k(v) = -3*l(v) - 8*r(v). Solve k(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*w + 2 - 2)*(-2 + 4 - 4)*((-3 - 3 + 16)*(2 + 1 - 2) - 2 - 7 + 18).\nAnswer: -152*w - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*p + 0*p**3 + 44*p - p**3 - 113*p - 2*p**2 to y*p + u*p**2 + t + i*p**3 and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10359 times -0.2?\nAnswer: 2071.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 4503.\nAnswer: 18012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k + 21. Let o be q(9). Solve 0 = o*w + 11 - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 22*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 5*s**3 + 15*s**3 + (-s + 0*s + 3*s)*(0*s**2 - 2*s**2 + 4*s**2) to r*s + u*s**3 + v*s**2 + x and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 700157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 12. Determine o(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-5915))\/((-15)\/13 - -1)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*c = 4 + 6, -c = 4. Solve 4 = -l + f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from zuuzuuuuuuuuzuzuuuu.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30059489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y - 1. Let g(n) = -9*n**2 + 19*n + 11. What is -g(c) - 6*q(c)?\nAnswer: 3*c**2 + 5*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8 = 4*i, -3 = 4*i + 5*b - 11. What is the second derivative of -i + 5*s + 2 - 2*s**2 - 6*s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 g when four letters picked without replacement from {g: 14, i: 4}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (18 + -55 + 12 - (-97 + -18))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2 - q + 1. Let d(r) = r**3 - 5*r**2 + 6*r - 7. Let f(b) = -d(b) + 2*h(b). Let p be f(-7). Let s = p - -242. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/7653032 or 0?\nAnswer: 63\/7653032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:24 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 + -3.9?\nAnswer: 409.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41951184 by -5456.\nAnswer: 7689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*m - 26, 0 = -5*m + 3*h + 14. Solve -3*u = u + m*g - 32, 3*u - 19 = -2*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/35 - (-5 + 10)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 13 - 8 + 2 - 9*q)*(-25*q**3 + 46*q**3 + 113*q**3) to the form t*q**2 + a*q**4 + n + g*q**3 + d*q and give a.\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38751 divided by -12917?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + u**2. Let i(p) = 12*p**3 + 25*p**2 - 2*p - 20. Let s(q) = -i(q) + 5*o(q). Factor s(h).\nAnswer: -2*(h - 1)*(h + 1)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-66)\/858)\/((-1)\/(-13)))\/(-2)*-5*34.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 1:12 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 7*f**2 + 2*f - 11. Suppose w = -3*y + 10, -4 = y - 5. Let b be g(w). Solve -14 = -0*r + r - 3*t, -3*r - 12 = -b*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28350 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/49 - (16 - 13)*(-3)\/9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237.\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -87*s + 14271. Let x be m(164). Let v(i) be the second derivative of 0 - 5*i**2 - 1\/30*i**4 + 34*i + 2\/3*i**x. Factor v(g).\nAnswer: -2*(g - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*a**3\/11 + 33790*a**2\/11 + 937824*a\/11 + 58482\/11 = 0. Calculate a.\nAnswer: -27, -1\/16, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10292 is divided by 2019?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 2)*(2 + j - 2).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 47846 = -863681. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-441)\/(-36) - (-14)\/8. Suppose 84 = z*r - 798. Suppose -4*k = -3*t - 94, -4*t = 5 + 3. What is the remainder when r is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*r - 2*y - 29 - 110 + 383 = -470, 3*r + 3*y = -18 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -50*b**2 - 534*b - 375. Calculate t(-12).\nAnswer: -1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-685)\/(-274)*(-32)\/10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -58, -108, -198, -340, -546, -828, -1198?\nAnswer: -1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5909*q**2*v*y**3 - 12*q**2*v*y - 38*q**2*y**3 + 5*q**2 - 6*q*y**3 with respect to v.\nAnswer: -5909*q**2*y**3 - 12*q**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2287084 - -4?\nAnswer: 2287088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 951*w + 947*w + 18 = 0, 4*w - 41 = -6*v - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28127, -56197, -84225, -112205, -140131, -167997?\n\"Answer: z**3 + 15*z**2 - 28122*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 31. Let j(h) = 6*h - 3. Determine j(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/11 - 74640*n\/11 + 1418882\/11 = 0.\nAnswer: -37339, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(44)\/(-2*sqrt(4) + sqrt(4))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -539. List the prime factors of l.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148295, 296592, 444889?\n\"Answer: 148297*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93480 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272672 is divided by 272631.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**3\/6 - 9*m. Let x(s) = -5*s. Determine y(x(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1512 = 5*j, 33*j - 36*j = 0. Which is smaller: -379 or t?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 122 = 128. Do 31\/9 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 567259\/(-28567) + (-128)\/14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(-7 + 1 - 2)*(-1529*o - 44*o + 419*o).\nAnswer: -9232*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -257*b - 1431. What is the remainder when q(-13) is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**3 + 11*m**3 - 14*m**3 + 9 + 17*m - 9 + 2*m**2 as p*m + a*m**3 + w*m**2 + q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*q**3 + 264*q**2 - 58*q**2 - 67*q**2 - 69*q**2 - 71*q**2.\nAnswer: -47*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u**4 + 5*u - 2*u**3 + 39*u**4 + 4*u**2 - 17*u**4 to the form p*u**2 + n + q*u**4 + r*u + o*u**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*i*u**2 + 3*i + 368*u**2 wrt i.\nAnswer: 25*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2. Let m = 192 - 190. Let h(j) = 2*j**2 + 2*j + 25. Let x(v) = -v - 1. Let y(k) = m*x(k) + h(k). What is y(i(g))?\nAnswer: 2*g**4 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 438840.\nAnswer: 2194200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (268\/335)\/(-1 - (-7)\/5). Solve -3*m - 2*d = -1, -4*m = -d - 18 + j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 358916 (base 10) to base 15\nAnswer: 7152b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16134, -32275, -48418, -64563, -80710, -96859?\nAnswer: -113010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -0.3, -412\/287097?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 695 + -677. Calculate the remainder when (7 - 2)\/((-1)\/(-7)) is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 5*m + 11, 2*l + m = 5. Let a be (15\/(-4))\/(l\/(-8)). Suppose 8*n - a = 5*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -20 - -28) + (0 - 3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -234, -413, -696, -1101, -1646?\nAnswer: -2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003 (base 4) in base 5?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 7 + 2\/(-4). Let g(y) be the first derivative of -2*y**3 - 3\/4*y**4 - a*y**2 - 1 + 0*y. Factor g(k).\nAnswer: -3*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/5 + 15 + -1. Let l = a + 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -3986.\nAnswer: -33\/3986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 5 = 55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -203*-5\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 51*o - 1799. Let v be j(-75). Suppose -3*i = -3*l - 18, -3*i - 4*l - 22 = -5*i. Solve 2*u - 2 - i = p, 0 = -2*p - 3*u + v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:17 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30386663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 + 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 0)*8998\/(-198). Let d = f - 131. Find q, given that d*q - 2\/3*q**5 + 10\/3*q**4 - 4*q**3 + 0 - 8\/3*q**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1952*t - 1170 + 2*t**2 + t**2 - 3894*t + 1942*t.\nAnswer: 3*t**2 - 1170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + 6*m)*(-42*m**2 - 542*m + 542*m)*(-5*m + 267 - 550 + 268).\nAnswer: 210*m**4 + 630*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 11:00 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 71*i**2 - 173*i + 3545. Give v(24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v. Let h(d) = -d. Let r(s) = -2*g(s) + 4*h(s). Let o(t) = 8*t**2. Determine o(r(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.84 - -0.31. Let m = i + 0.8. Let g = 0.7 - m. What is g rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1020)\/(-55) + -18 + (-39)\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 964.\nAnswer: -1\/964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 6, -511, -3 in descending order.\nAnswer: 6, 3, 1, -3, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 187?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 15*r**2 + 3*r + 1 + 4*r - 6*r**2. Let x be h(-8). Let z = x + -5. Solve 4*t = 16, -l + 16 = 3*l + z*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 10, 1, 2 in ascending order.\nAnswer: 1, 2, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/16*(1 + (-65)\/15)*1356\/(-15). Suppose 2*t - 4*b = -462, -5*t + 5*b = 4*b + 1137. Is v equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 3*m)*((m**2 + 2*m**2 - 4*m**2)*(-m + m - 2*m) + (m**2 - 2*m**2 - m**2)*(-494 + 35*m + 494)).\nAnswer: -136*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 303542579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9590161199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -825, -3677, -10585, -23577, -44681, -75925, -119337?\n\"Answer: -338*j**3 - 486*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppgggpgpggpp. Give prob of sequence ggg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10360.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:13 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let k(i) be the third derivative of -i**5\/30 + i**2 - 548. What is k(v(z))?\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p - 25*p - 16 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8075)\/175 + (-1)\/(-7) + 2. Let u(p) = -p**3 - 45*p**2 - 51*p + 103. What are the prime factors of u(w)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2\/13 (c) 16\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3*i + 1. Let j be b(-4). Suppose -909 = -4*g - 5*s, -5*s - 1125 = -j*g - 0*s. Let d = g + -155. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*v - 415*m + 413*m, -3*v = -2*m + 28 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4786329 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-35)*(-14 - 13). Which is greater: -18 or c?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12960 and 80352?\nAnswer: 401760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 + -336. List the prime factors of (-4 + 2 + 0)*v.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.170791 - 16.170431. Let f = 16.25 + -0.25. Let q = v + f. What is q rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94495.88 micrometers to nanometers.\nAnswer: 94495880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v + 14 = -4*c, -2*c - 10 = 0. Suppose -5*g = -82 + v. Calculate the remainder when 46 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 9*b + 2*j = -3, 0 = 5*b - 3*j + 80. Let o = 69 + -54. What is the third biggest value in b, o, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1255340179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 - 14 - 6 - 96)*(2*w - 3*w + 0*w) as t*w + f and give t.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 181 = -3*r + 118, 0 = 3*h - 5*r - 458. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 720, 719, 718, 717?\n\"Answer: -f + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69172a (base 11) to base 5.\nAnswer: -240202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let h = 2 - q. Suppose 5*j + m = -0 + 5, -h*m + 10 = 5*j. Solve 2*w + b + 5 = 0, w - 2*b - 3*b + 30 = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3 - 4378798*z**2.\nAnswer: -4378798*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 265283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6832339252652 and -2.\nAnswer: -6832339252654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2316 - -2479. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*y - 36. Suppose y*h = 115 + 201. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 159858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222020 + -102?\nAnswer: -2222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28875*f**3 + 7638*f**2 wrt f?\nAnswer: -173250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 9*m - 7. Let f be n(-8). Let g be f\/3 - 708\/(-36). Solve -10 = a - u + 4*u, -4*a - 2*u = g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/2 - 49026668*f**2 - 2403614077128885*f\/2 + 2403614273235561 = 0.\nAnswer: -49026669, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -3\/20*b**2 + 1\/120*b**4 - 28 - 1\/30*b**3 + 25*b. Let k(v) be the first derivative of r(v). Let k(u) = 0. What is u?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8)*12\/21. Let s be 117\/(-52) - 1 - -3. Which is the closest to s? (a) 8 (b) u (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14275 - -38617?\nAnswer: 54003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.18. Let m = 0 + a. Suppose 5*f - 5*f = 3*f. What is the third smallest value in m, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1680096 and -13\/14070804?\nAnswer: 112566432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-6 + 5270\/878). Let p = 495 + v. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4 + 8. Let x be ((-18)\/(-4) - 4)\/(10\/4). Factor 2\/5*i**2 + 0*i - x*i**d - 1\/5 + 0*i**3.\nAnswer: -(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 121, 489, 1103, 1963?\n\"Answer: 123*c**2 - c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2290862 is divided by 1145428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9015 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 205135440.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h = -554 - 266. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o*y**4 + 273*o*y**3 + o*y**2 - 2*y**4 - 52*y wrt y.\nAnswer: -24*o*y + 1638*o - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3929*s - 35379. Calculate u(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -60\/17, -441 in descending order.\nAnswer: 1, -60\/17, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.086579 - 2.\nAnswer: -2.086579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002732712214 to 6 decimal places.\nAnswer: -0.002733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-24) - -2)\/(57\/(-171)).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 7.\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d + 13. Let u(k) = 9*k + 8. Let j(q) = -2*q - 2. Let t(y) = 5*j(y) + u(y). Let z(x) = s(x) + 3*t(x). What is z(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481*g = 425*g + 3864. Solve 36*v - g = 111 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1147, -9 in ascending order.\nAnswer: -1147, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 119038743?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 + 25*q**2 - 22*q**2 - 5 + 3*q. Determine j(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*f*h**3 - 2*f*h**2 + 108*h**3 wrt f?\nAnswer: 72*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113.6 and -4.\nAnswer: 454.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1 - 3\/(-12)*-4. Let p be 160\/5 - w - -1. Let i = p - -1. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*g = 42, -8525 = n - 2*g - 8504 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42912 and 804624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(330)*1)\/(sqrt(275)*5))\/((sqrt(450)\/sqrt(9))\/sqrt(5) - 2*sqrt(1000)).\nAnswer: -3*sqrt(3)\/475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73017466 rounded to the nearest 10000?\nAnswer: -73020000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*r - 17 = 0, r - 18 = -4*w - 5. Find the first derivative of -7*q**3 - 6 + 3*q**3 + 0*q**w wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 114*s - 48. Let h(a) = 71*a - 30. Let m(x) = -8*h(x) + 5*o(x). Let p(w) = 1279*w**2. What is p(m(r))?\nAnswer: 5116*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92580531.\nAnswer: 3, 30860177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 110 = 13*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 123442 (base 5) to base 9\nAnswer: 6613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21786\/7 or 2\/3?\nAnswer: -21786\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 14)*-1 + 135 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1224433 - 113?\nAnswer: 1224320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 + 1)\/((-1842)\/3684).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 - 3. Let s(n) = 248 - 2*n**2 - 250 + 8*n**2. Let q(m) = -2*l(m) + 3*s(m). Give q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -181, -180?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*(-32)\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344743366?\nAnswer: 2, 73, 9210571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14845284?\nAnswer: 2, 3, 17, 127, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 170, 153, 136?\n\"Answer: -17*w + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*p + 20 = 0, 0 = -5*p + 9*p - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 660.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/2 - l**4\/4 - 2*l**3 + l**2\/4 + 3*l\/2 = 0. Calculate l.\nAnswer: -3\/2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 5. Let b be f(-1). Suppose 314 + 94 = b*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/17)*m\/(m\/((m*m**(5\/8)*m)\/m)))**(-16\/3) assuming m is positive.\nAnswer: m**(-458\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5606253 in descending order.\nAnswer: 5606253, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 7*b**5\/10 - 193*b**4 - 2519*b**3\/10 + 3583*b**2\/5 + 4982*b\/5 + 1108\/5 = 0.\nAnswer: -2, -1, -2\/7, 2, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1c0669 (base 15) to base 4\nAnswer: 11032010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 11, 0, -6 in increasing order.\nAnswer: -6, -3\/2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 541.828988527.\nAnswer: -541.528988527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 4115300.\nAnswer: -4115300.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**2 - 7*g**2 - 3*g**2 + 2*g**2 - 5*g + 3*g.\nAnswer: 13*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 + 3 - 2*x + 2 - 3 - 6*x**3 - 6*x**4 to b*x**4 + j + q*x**3 + a*x + u*x**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*l = l + 8, 0 = -2*v + 2*l + 6. Let d be (-2)\/(v*4\/(-24)). Suppose -5*o = g - 138, -g = -d*g + 2*o + 636. Is 32 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnninnnnnnnninnn.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + 13*p + 5. Let h(w) be the third derivative of w**5\/20 + 3*w**4\/8 + w**3\/2 - 710*w**2. Give -5*c(m) + 7*h(m).\nAnswer: m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from mmmmememmeememmmam?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.812242 rounded to 0 dps?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:40 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 106063573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4978 + 5199. What is the remainder when v is divided by 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 408574485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 36 (b) -1\/12 (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 414*a + 19208. What is t(-45)?\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -14*u**3\/17 - 3022562*u**2\/17 + 5181584*u\/17 + 1727192\/17 = 0.\nAnswer: -215899, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m. Let l(k) = -13245*k**2 + 3. Give l(c(z)).\nAnswer: -331125*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y - 152*y = 2597 + 1659 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:26 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 112*j. Let c(y) = -2*y**2 - 2. Determine o(c(t)).\nAnswer: -224*t**2 - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275676*k**3 + 3*k**2 - 17065*k?\nAnswer: -1654056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - -1.99. Let y = 39 - 116\/3. What is the nearest to y in k, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 7*t**2 + 110*t - 3*t**3 + 5*t**2 + 109 - 110*t to m*t**2 + q*t + f*t**3 + b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 491 or 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16985 by -79.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q - 5444 = -207*q + 6840 - 8000 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**6\/30 + p**5\/6 + p**4\/4 + 2*p**2 + 2. Let o(d) be the second derivative of i(d). Solve o(c) = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 7)*(3 + 1). Suppose -n + 2*y - 41 = -6*n, -u*y + 37 = 5*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**4)*m**(1\/2))\/((m\/m**6)\/m*m**0))**(-9))**(39\/7) assuming m is positive.\nAnswer: m**(-1755\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 5*r - 8, -5*s = -r - 18. Suppose -4*h + 3*c = -164, 172 = 4*h + c - 2*c. Suppose -s*g + 40 = -h. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbgnxkxxnkx. What is prob of sequence kbgb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1048\/6)\/(3\/18).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1309a6 (base 11) to base 15.\nAnswer: 41154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -33, -25, -15, -3, 11, 27?\n\"Answer: s**2 + 3*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7163192 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92548.2ml in litres?\nAnswer: 92.5482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -261\/4 (b) 2.5 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -53*k**2 + 19*k**2 + 17*k**2 + 18*k**2. Let x(f) = 4*f**2. Determine x(l(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/10 - ((-142)\/(-55) - 3). Which is the nearest to -0.1? (a) -0.2 (b) g (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p + 46. What is c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34800 or -34808?\nAnswer: -34800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 + 20 - 45 = -15*v. Let u(h) = h**3 - 2*h + 1. What is the smallest common multiple of v and u(3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5566 = -o, 5*u + 5712 = 4*o - 16468. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21159 = 320*o - 13721. Which is greater: 2068\/19 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -31*t**2 - 18*t - 23. Let n(q) = 167*q**2 + 90*q + 115. Give 2*n(j) + 11*y(j).\nAnswer: -7*j**2 - 18*j - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15187 * 5\nAnswer: 75935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a - 37. Let l = -143 + 131. Let m = a + l. 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: What is the smallest value in -1\/3, 875, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 3488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 878507523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 9. What is z(24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2150330 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8 - 1. Let q = 1358 + -1261. Let z(s) = x*s - 102 + q - 4*s. Give z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.39, -5, -15, 2\/11, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 56 (b) 0.04 (c) 3\/4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -59*u + 5\/4*u**4 + 1\/30*u**6 + 9\/20*u**5 + 0*u**2 + 0 + 7\/6*u**3. Solve p(y) = 0 for y.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368 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: Suppose 0 = o + 7*o - 1296. Suppose 85 = 5*i + 5*y, -2*i + 7*i = y + 91. What is the highest common factor of i and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 122. Suppose 4*z - 5*d - 31 = 0, 3*z - 2 + 5 = -5*d. What is the third derivative of -7*h**2 + 3*h**f - 11*h**2 + 3*h**2 + 4*h**z wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 3*b + 34 = 7*j, 3*j + 161*b = 156*b + 50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47897?\nAnswer: 211, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by 1.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -580, 1\/2, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 + -1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46710670 divided by 71314\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*w + 14640, m + 9*w - 7319 = 7*w. Does 132 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0083914391 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -16 + l + 37*l + l**3 + 120*l**2 - 105*l**2. Is 4 a factor of j(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 19, 0.2 in ascending order.\nAnswer: 0, 0.2, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*t + 25, -5*o - 38*t + 42*t = 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.127? (a) 2 (b) 0.5 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/6 + 7*x**4\/12 - 13*x**3\/3 + x**2 - 6. What is the tens digit of k(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/1591 - 30409\/95460. What is the common denominator of (-25)\/10*(117\/(-120))\/(-3) and m?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14\/11 - -1709\/55. Let w = -30 + p. What is the closest to 8\/9 in 3\/8, w, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1904772 to four dps.\nAnswer: 0.1905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, 2, 30, 90, 194, 354, 582, 890?\n\"Answer: 2*r**3 - 2*r**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, -2\/7, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-178*m - 211*m + 93*m)*(3*m - 3*m + 2*m)*(-5 + 2 + 1)*(1 + 6 - 5) as t*m**2 + h*m + f and give t.\nAnswer: 2368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 4*x**2 + x - 2. Let l(w) = 8*w**3 - 17*w**2 + 5*w - 9. Let j be (54\/(-90))\/(1\/(-15)). Calculate j*c(s) - 2*l(s).\nAnswer: 2*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2173776 is divided by 25560?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 374700643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 263?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - -2. What is the highest common factor of l and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 - 5. Let i(m) be the second derivative of -11*m**4\/12 - 9*m**2\/2 + 5*m. Give 4*i(n) - 7*r(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g + 18. Let u be y(5). Let b(s) = -172*s + 13. Is b(u) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 26*t - 22*t - s, 10 = 2*t + 2*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/42)\/(-1*1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212559.\nAnswer: 3, 70853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 105\/(-7)) + (-25)\/30?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 39. Suppose 1 = 2*a + w, -y - 2*a - 6 = 0. Is (-3 - y - 0) + 77 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25431?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuqqjjuuujiz. Give prob of picking 3 j and 1 u.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 35 = -35 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*i - 2*m, -3*m + 16 = -4*i + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/11))**(-37)*(z\/z**(-1\/4))**(-13\/4) assuming z is positive.\nAnswer: z**(-6043\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101138*c + 101017*c - 12*c**2 - 202155*c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 = 0, 6*r + 281 = 4*m + r. Suppose 3 = 2*h - x - 23, 0 = -4*h + 5*x + m. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/30 - 6*j**2. Let q(f) = 4*f. Calculate v(q(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:35 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299427163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1313*u**2 - 2415*u wrt u?\nAnswer: -2626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 13379?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15.2. Let q = -2 + z. Let l = 4.4 - q. What is the fourth smallest value in -5, l, -2\/3, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550499905 to the power of 1\/2, to the nearest integer?\nAnswer: 23463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 1}. What is prob of picking 3 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - -40 - 14) - 63?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78.99586 decades?\nAnswer: 9479.5032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 13*d**2 - 22*d + 38. Let k be t(-11). Solve -k*c = 19*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6 = v - 3, 4*v = a - 12. Suppose a*w = 2*w - 20. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/13)\/a)\/((a\/(a*a\/a**15*a))\/a))\/(a*a**(-9)*a\/a**14) assuming a is positive.\nAnswer: a**(118\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*g + 1, 49*q - 50*q = -3*g - 20. Put q, 22, -3 in descending order.\nAnswer: 22, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -28*l + 5*l - 28*l + 9*l + 10. Let y be b(-6). Suppose 5*n = c + 429 - 163, 2*c + y = 5*n. What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16421 to the nearest 100.\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*r + 18 = 4*r, -8 = -4*r. What is the lowest common multiple of t and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-15*(-12)\/30. Let n(f) be the second derivative of -f**4\/12 - 3*f**3\/2 + 6*f**2 + 29*f + 2. Let b be n(-10). Solve -v - b*v = k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8355?\nAnswer: 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -5 - (-19 - -20) - 0) + -4 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37836 (base 11) to base 4.\nAnswer: -31033213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 36 = -2*i, -3*i - 16 = -4*x + 30. Suppose 2*g + 5*l = 58, 6*l - x = l. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - 285?\nAnswer: -26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4125 and 165?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from {z: 1, u: 2, p: 4, g: 7, y: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 6, 5, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -4831 in ascending order.\nAnswer: -4831, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/(-204) + (-26301)\/(-4). Is 6 + 324\/(-48) + l\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -892 - -1307. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 - -0.51. What is the third smallest value in -2, t, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1377)*2 + sqrt(1377)) - (sqrt(1377)*2 + 5)**2.\nAnswer: -5533 - 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.44, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2)\/r)*r)**39*(r**(-8)\/r)\/((r**(-4\/9)\/r*r)\/r) assuming r is positive.\nAnswer: r**(1687\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a28a9 (base 13) to base 15.\nAnswer: -5b580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1941*d + 2670*d + 1222*d.\nAnswer: 1951*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 3}. What is prob of picking 3 r?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 52*u**2 + 740*u - 6000 = 0.\nAnswer: -20, 75\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 10*n - 27. Suppose 2075 = -n*x + 8*x. Suppose a + 3*d - 133 = 0, -3*a + 6*a + 5*d = x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/439654 and 63\/288728?\nAnswer: 19344776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/279 and -73\/162.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8*-2*2507414\/(-2576).\nAnswer: 2, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -376*x**2 + 12*x + 17. Let h(l) = 127*l**2 - 4*l - 6. What is 17*h(c) + 6*u(c)?\nAnswer: -97*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*d = 675, -3*d - 404 = 3*y - 4*d. Suppose 840 = 11*l - 722. Let g = l + y. Calculate the highest common divisor of 21 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*w + 5*w + 10, 0 = -3*w + 3*y + 18. Let f be (32\/(-280))\/(w - (-32)\/(-20)). What is the nearest to 8 in f, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) 4.255762 (d) -1\/3 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/45*649599\/(-8). Let t = 18034 + i. Let k = -1696 + 33979\/20. What is the common denominator of k and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-18)\/(0 + -2). Suppose c - 2*k = -1, 3*k - 8 = 4*c - k. Put y, 5, c in descending order.\nAnswer: 5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 17645 = -2*o, -144*o + 142*o + 17639 = q. Does 63 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*a + 870*a - 1736*a - 16*a**2.\nAnswer: -16*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -921 at most as big as -0.05582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 455, 2, 3, -3.\nAnswer: -3, 2, 3, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/10 + -3)\/((-57)\/3 + (-3752)\/(-280)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*h*j*p*t + 7*h*j*t - 2*j*p*t - 2*j*p - 3*j + p wrt h?\nAnswer: -7*j*p*t + 7*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 h, and 1 v when four letters picked without replacement from hmvhvvtmvmhtvvaa.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 17*g - 5. Let p be b(17). Let j = p - -14. Solve l + j = -0*u - 3*u, -u = 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 j when three letters picked without replacement from {b: 2, g: 2, q: 4, p: 1, r: 4, j: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6038.956 - 6051. Round j to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**7\/945 - o**6\/540 + o**5\/270 + o**4\/108 - o**2\/2 - 1. Let z(r) be the second derivative of w(r). Factor z(d).\nAnswer: -2*d*(d - 1)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 3*t. Suppose 4*u - 21 = t*x, -3*u + 2*u + 3*x + 7 = 0. Solve -7 = 3*k + 2*p, k + p = -0*p - u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in -2\/11, 2\/9, -5\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322*z + 45913 = -9611 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, -5 in increasing order.\nAnswer: -16, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1991.64 days to milliseconds.\nAnswer: 172077696000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - 20*l - 58. Let p be s(-3). Let d be 36\/252 + p\/126. Suppose 2\/9*r**2 - 2\/3 + d*r = 0. Calculate r.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42\/13 + -772\/247. Let g = -8 + 8. What is the nearest to -1\/3 in -0.4, g, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -1*(1 - 3). What is the least common multiple of 0 + (-1 + 21)\/w - -1 and 86?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/652 and -25\/8648?\nAnswer: 1409624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1340 + 1324 + 5*h - h**2 + 5*h. Give u(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 11. Let b be u(6). Suppose -98 = -b*g - 5*o + 82, -4*g - 3*o + 148 = 0. Suppose -86 = -3*w + g. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 488*t**2 - t - 3140 wrt t.\nAnswer: 976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) 0.01 (c) -0.3 (d) 35 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*f = 34, 4*j - 13*f + 36 = -15*f. What is the closest to 0.4 in -5, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 4004?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0*k - 310. Let m = k + 113. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 4168008?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346 + 347. Sort -0.02, 10, v in decreasing order.\nAnswer: 10, v, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13676948 to the power of 1\/2, to the nearest integer?\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (1 + -53 - (-3 + 28 - (80 + -56)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6497235 and 22095?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6454 - -16577. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 10*p**2 + 17*p + 19. Let w be m(-7). What is the first derivative of -2530*q - w + 2530*q + 29*q**2 wrt q?\nAnswer: 58*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -137, -539, -1209, -2147, -3353, -4827, -6569?\n\"Answer: -134*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**3 + j + 1. What is w(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u - 87 = 368 + 55 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*k + 225*k + 414*k.\nAnswer: 725*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 44*k**2 + 162*k - 4510. What is t(46)?\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -426*b**2 + 33 - 412*b**2 - 14 + 136 wrt b?\nAnswer: -1676*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i**3 - 3*i**2 - 29*i - 4. Let z(o) = 41*o**3 - 7*o**2 - 60*o - 9. Give 9*f(q) - 4*z(q).\nAnswer: 16*q**3 + q**2 - 21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + 4*sqrt(152))*-4 - 4*sqrt(152)*-3)\/(sqrt(96)\/(sqrt(30)\/sqrt(10))*1).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 567469.2 months?\nAnswer: 4728.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvxj when four letters picked without replacement from {x: 2, j: 3, v: 8, f: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/3)\/(4\/(-1080)). Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -9*p**4\/4 - 16*p**3\/3 + 2*p**2 - 47. Determine g so that j(g) = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 815, 841, 885, 947, 1027?\n\"Answer: 9*z**2 - z + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at most 18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - 3*t**5 + t**4 + (t - 2*t + 2*t)*(-2*t**4 - t**4 + 5*t**4) + (-2 + 2 - 4)*(t**5 + t**5 + 0*t**5) + 0*t**5 + 2*t**5 + 0*t**5.\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -101238.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8595?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 6.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-10) - (-680)\/200. Suppose -6 = -2*q, q = y*u - 4*q - 4953. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6) - 0 - 0) + 440\/(-560). Which is the second smallest value? (a) g (b) 0.5 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 = 5. What is the smallest common multiple of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g + 133. Let u(b) = -3*b**3 - 48*b**2 - 132*b - 10. Let o be u(-3). What is z(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1728780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*v + 90 = 2*b, -v = -3*b - 131. Let r = 909 - b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226 - -228. Let 15*w**3 + 12*w**3 - 436*w**2 - 2*w**3 - 5*w**4 + 406*w**u = 0. Calculate w.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 64, 94, 126, 166, 220?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 55 = -5*k + 50, -k - 1 = -2*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29931 and 3729?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*t + 6 = 0, 50 - 47 = 2*g + 3*t. Let m(o) = 5*o**2 - 1. Let u be m(1). Let c be (-98)\/(-8) + (-1)\/u. Solve g*s = -0*s - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/3 + 259*p. Let g(d) = 10*d**2 - 14*d. What is u(g(o))?\nAnswer: -20*o**2 + 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 4*i + i**2 - 2*i**2 + 2*i. Let r(g) = -9*g**2 - 6*g + 1. Give -r(k) + 6*v(k).\nAnswer: 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 4, o: 2, h: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -95 - (-7 + 6 + 1 + 10 + -9)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(12) + (sqrt(2736) - -2*sqrt(2736))**2 - (5 + (-6*-2*sqrt(228))\/sqrt(12)).\nAnswer: -23*sqrt(19)\/2 + 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 - 4*a**2 - 6*a + 5. Let n(p) = p**3 + p**2. Let v(w) = -7*w**3 + w**2 + 5*w - 4. Let u(x) = -3*n(x) - v(x). Calculate -5*o(s) + 6*u(s).\nAnswer: -s**3 - 4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*a - 14. Let n be (-22)\/(-55) + a\/((-5)\/(-8)). Solve p = 2*s + 10, p + 1 = -n*s - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 + 276. Which is the second smallest value? (a) 5 (b) o (c) 1\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 319 = 357 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 16}. What is prob of picking 2 b and 1 w?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**2 - 5*a + 5. Let y be 4\/9 - 45110\/(-1170). Let u(j) = 104*j**2 + 39*j - 39. Calculate y*c(p) + 5*u(p).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -37*v**2. Let n(c) = -31*c**2. What is n(b(x))?\nAnswer: -42439*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 30*o**2 + 13*o + 9. Let u(t) = -8*t**2 - 3*t - 2. Calculate -2*n(y) - 9*u(y).\nAnswer: 12*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erfreqeedd. What is prob of sequence eer?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 4 - v + 3*v - 5*v + 2*v as z*v + m + p*v**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 7139 - 7155 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/867 and 59\/7704.\nAnswer: 2226456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163*j**3*u**2 + 14195626*j**3 + 1089705*j**2*u**3 - 4 wrt u.\nAnswer: 326*j**3*u + 3269115*j**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50721125*h**4\/2 + 101537800*h**3 + 101824540*h**2 + 382560*h + 360.\nAnswer: 5*(h + 2)**2*(3185*h + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9768948.\nAnswer: 2, 3, 7, 17, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -108122.\nAnswer: -1\/108122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4307*s**2 + 4307*s**2 + 1181*s**4)*(0 + 2 - 4)*(-3 + 1 + 4).\nAnswer: -4724*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5295745 and 5356?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -3\/113 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 75. What is the hundreds digit of (-8968)\/(-20) - (4\/10 + x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 5. Let d be (-40)\/(-7) - 2\/k. Let g be (2\/(-4) + 1)*24. Calculate the greatest common factor of g and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202278190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 67 = 393 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75.8 - 62. Let f = 13.201 - k. Let i = f - -0.59. What is i rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2119 - 1203. Let h = q - 916.2616. Round h to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -18*x**3 - 2*x**2 + x. Let h be a(1). Let g = -11 - h. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -687 and 0.4?\nAnswer: -274.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i**3 - 21*i**3 - 49*i**3)*(4*i**2 + 4*i**2 - 3*i**2).\nAnswer: -255*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/54 and 119\/396.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(12) - 3*sqrt(48)\/sqrt(4)))**2 - (sqrt(48) + -4 + ((sqrt(75) - (-1 + sqrt(75)))**2 - sqrt(3)))*4.\nAnswer: -12*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17699031.\nAnswer: 3, 7, 499, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (576*y + 146*y + 31*y)*(-2*y**2 + y**2 + 3*y**2) as c + s*y + x*y**3 + f*y**2 and give x.\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 33. Suppose 7*o - 21 - 287 = 0. Calculate the remainder when o is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4618343 to the nearest integer?\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 247*h + 498*h**2 + 244*h + 247*h - 740*h.\nAnswer: -2*h**3 + 498*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 7*i + 8. Let b be a(-6). Let j be 6 - (4\/10 + 1064\/190). Solve j = -q + 6 - b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.724 - 28.276. Let o = 0.2596 + -0.0596. What is the second biggest value in m, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -556*l + 278*l + 265*l - 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34448610?\nAnswer: 2, 3, 5, 7, 41, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -451 (base 12) to base 7\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - c**2. Let i be j(3). Let q = i - -3. Suppose n + 8 = q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2. Suppose -51*c - 4 = -52*c. Let i(k) be the third derivative of 0*k**3 + 3*k**2 + 0*k - 1\/12*k**5 + 0 + 0*k**c. Give z(i(b)).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**5\/110 + q**4\/22 + 2*q**3\/33 - 3*q. Factor z(v).\nAnswer: 2*v*(v + 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 - 3*t**2 + 6*t - 3. Let s(r) = -4*r**3 - 2*r**2 + 7*r - 2. Let p(c) = 3*s(c) - 2*y(c). Find the second derivative of p(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.408 less than 127.7?\nAnswer: 129.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163\/2 + -563\/6. What is the common denominator of -101\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**24\/(t*t**(-5)))**(2\/119) assuming t is positive.\nAnswer: t**(8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 1, 10\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 2*j - 1. Let m be y(3). Is 0 + (1*m)\/(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, p: 2, z: 1, u: 3, g: 3, j: 1}. What is prob of sequence ju?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.8 + -31.842. Let q = 1.185 - -1.815. Which is the second biggest value? (a) q (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3969 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 8*p**2 - 7*p + 2. What is a(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 9:17 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/39 + -5 + (-330)\/(-9)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -35 - -6) + -34 + 15 - -75?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5200 and 237200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 + 2)*(2 + 3*p - 2) in the form z + v*p and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -u - 14, -7*u = 2*q + 2 - 2 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10044 - 2?\nAnswer: -10046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30653216 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 6*w**3 - 3*w**3)*(4*w + 3*w + 6*w) - 11*w**4 + 7 - 7 + (-1 - 2*w + 1)*(-w**2 + w**2 - w**2)*(w - 2*w - w).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:22 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(180*s + 1 + 685*s + 353*s) to v + a*s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**10*u*u)\/u)\/u*u*u\/u**(7\/4) assuming u is positive.\nAnswer: u**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31058801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/3)\/((-31)\/(-558)*(-9)\/3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + (sqrt(72)*1 + sqrt(72))*1)) + 3 + 3 + 0 + -5.\nAnswer: -12*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -10. Let s = -9 - a. Let x = 7 + s. Solve 3 = -2*l - 3*k, 4*l - 4*k = x - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/30 + -2\/5. Let t = 0.67 - -0.12. Let r = t + 2.21. Which is the third biggest value? (a) r (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-35 - -11) - 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -7.9\nAnswer: 3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 356696 + 32\/(-8) + 2 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -2*z + 1\/4*z**4 + 1\/14*z**7 + 0*z**3 + 0 + 0*z**2 + 0*z**6 + 0*z**5. Find the third derivative of l(o) wrt o.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 5. Suppose -5*m + l = -2*m. Let r = 1 + m. Calculate the greatest common divisor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10405, -41725, -93919, -166981, -260905, -375685?\nAnswer: -511315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from {y: 1, d: 2, r: 1, o: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 5. Let p(q) = 13*q + 11. Let i(h) = -9*m(h) - 4*p(h). Let k = 98 - 96. Let z(x) = -6*x - 3. Let g(l) = k*z(l) + 7*i(l). What is g(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3133\/33 + -290\/3. Let j = -90893\/7638 + 2\/19095. What is the common denominator of c and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/64 and -41\/47872.\nAnswer: 47872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - 1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) - (-1374)\/(-9). Let p = 613\/4 + h. What is the second smallest value in 1\/3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Which is bigger: d or 6\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20 = -4*j, -20*k - 4*j + 17 = -32*k + 11*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2035 + 7 + 3)*4\/5?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 141061508?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3408719.\nAnswer: 4\/3408719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 17, l: 3}. What is prob of sequence dddl?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -4 - (7 + -4). Let m be ((-3)\/(w\/(-8)))\/((-2)\/(-6)). Is -9 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 259, 465, 671, 877, 1083?\n\"Answer: 206*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*p + 2*r, -3*p - 5*r = -82 + 67 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 266 - 265.7. What is the third smallest value in 0.1, -1\/6, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-14)\/(-10 - -3). Solve 2*o - 37 + 29 = r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 95. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2\/243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let b(g) = 23*g - 138. Give m(b(j)).\nAnswer: 529*j**2 - 6348*j + 19044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -11*m + 10*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 4*i\/5.\nAnswer: 2*i*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 9 + 62*c**2 - 60*c**2 - 60 in the form j*c + z + g*c**2 + b*c**3 and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12129546 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323643?\nAnswer: 3, 107881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Solve 5*f - x*c + 12 = -0*c, -2*f = -2*c + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393388 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from xjtkhixxiiixi.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -904072, -904073, -904074, -904075?\n\"Answer: -j - 904071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8119756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*z - 74*z - 75*z + 240*z - 188 = 0 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.69 + 5.41. Let q = h - 1.4. Let o = -0.7 + q. Sort o, 2\/3, -1\/3 in ascending order.\nAnswer: -1\/3, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 3*((sqrt(1008) + -1*sqrt(1008) - sqrt(1008)) + -4 + (sqrt(2016)*-1)\/sqrt(8))*1)**2.\nAnswer: 972*sqrt(7) + 20495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**5*z - 64*s**5 - s**3*z - 236*s**2*z - s*z wrt s.\nAnswer: -120*s**2*z - 3840*s**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 21*i**2 + 73*i - 13. Determine p(7).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6076\/(-310))\/49)\/((-2)\/180).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*k + 3*y, 9*k + 3*y = 5*k. Sort k, 5, -3, 4.\nAnswer: -3, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d + 48 + 35\/2*d**2. What is o(-1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 93*s - 236. Does 41 divide o(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - 465082\/(-532). Which is bigger: o or 876?\nAnswer: 876","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 5\/4*d**4 + 2*d + 1\/6*d**6 + 0 + 3\/4*d**5 + 0*d**2 + 5\/6*d**3. Factor f(j).\nAnswer: 5*j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/13 (b) -3.14 (c) 89 (d) 2\/11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 10. Let p(j) = -3*j - 11. Let d be p(k). Suppose d*u - 77 = -0. Calculate the least common multiple of 4 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + (-1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 362*r - 2748. Let k be x(8). Is k at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 3, y: 5, h: 4, q: 5}. Give prob of sequence yy.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 17*t - 19*t - 65, -60 = -2*i - 2*t. Calculate the remainder when 1674 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/11*x**4 - 34104\/11*x - 17100\/11*x**2 - 2064 - 2874\/11*x**3 = 0. What is x?\nAnswer: -473, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + -547 + (-6)\/(-6). Is d smaller than -556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-157)\/6*3\/2. Let v = 40 + l. Let z = 0.6 - -1.4. Which is the third biggest value? (a) v (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.94479 - 1.94. Round z to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 152 and 46.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (18\/16)\/3 - (-6464)\/512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:42 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 11. Let j(l) = l**2 - l + 1. Let i(a) = j(a) + k(a). Determine i(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 3*x + 3*x - 4*x as w + d*x and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -23. Let m = -218\/15 + 43\/3. Which is the smallest value? (a) m (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112186.7206 + 113039.720177. Let b = o + -853. Round b to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z - 13102 = 7743. List the prime factors of z.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 10*j + 3*j + 25*j.\nAnswer: 47*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32965637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 2*n - 2. Let u be z(-3). Suppose 12 = -5*w + 2. Sort u, w, -4 in decreasing order.\nAnswer: w, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v = -631 + 1258 - 661 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p = -116*p - 21 - 327. Let t(a) = 151*a + 299. Determine t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**4\/12 + 7*g**3\/3 + 2*g**2. What is the first derivative of d(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13974 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -48. Which is the nearest to 0.2? (a) h (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 0*l**2 - 3*l + 2\/3*l**3 - 2. Find the first derivative of v(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-244)\/(-8) - (-24 - (-833)\/34). Let z(l) be the first derivative of -p + l**3 + 7\/4*l**4 + 0*l**2 + 1\/6*l**6 + 0*l + l**5. Factor z(v).\nAnswer: v**2*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46229, 92518, 138857, 185270, 231781, 278414, 325193?\nAnswer: 372142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 + 3*g - 7. Let b be k(-5). Let y be (-4 - -5) + (b - 5). Let i be 15*(2 - -158)*y. What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 56?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/10 - (-54)\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {p: 7, b: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 20*a - 29. Let j(o) = o + 2. Let p(l) = b(l) + 5*j(l). What is the tens digit of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -5, 57, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 544 + -549. Which is the smallest value? (a) 3 (b) i (c) 19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4354 - 1826 = 0. What is the tens digit of (-2)\/((-16)\/(-6)) - r\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -0.03. Let o = h - -0.05014. Round o to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -2532?\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 543528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:49 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/11? (a) 1\/54 (b) -5 (c) 0 (d) 0.4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 25*u. Put -1, u, -11 in ascending order.\nAnswer: -11, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1 + 40 + 5*m + 4*m**2 - 43. Let d(p) = p + 2*p**2 - 2*p**2 + p**2. Calculate -c(n) + 6*d(n).\nAnswer: 2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 48. Let k = 84328\/867 + 20\/289. Let i = k + -95. What is the common denominator of i and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1310975 or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6240134 + 3?\nAnswer: -6240131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/75*1\/13*-5.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 7, h: 1, f: 1, z: 10}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1) - (2 + 45 + 2 - (182 + -200)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p = 9*p + 594. Let m be p\/(-117) + 2\/13. Which is greater: -9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 + 188*o**3 + 1064*o**2 - 1248*o = 0. Calculate o.\nAnswer: -6, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let s = q + 3. Let k = s - 5.0008. Round k to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127 by 13.\nAnswer: -127\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/9)*y**0*(y*y**0)\/(y*y*y**(-5))*(y\/y**(-4)*y**0\/y)\/(((y*y*y**(1\/10))\/y)\/(y**(-1\/4)*y)) assuming y is positive.\nAnswer: y**(1357\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -883, -835, -749, -619, -439, -203, 95, 461?\n\"Answer: h**3 + 13*h**2 + 2*h - 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*q - 38, -q + 5*q - 4*s = 44. Suppose -10*p + q*p + 76 = 0. Does 38 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*u**3 - 1307*b*u + 60*b - 391*u**3 + 185*u**2 + 16*u - 2 wrt u?\nAnswer: -18*b*u - 2346*u + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from stsssut.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2226*s + 2*s**3 - 1 - 2226*s + 1.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide (799846\/987 + 2\/7)*(-162)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**5\/3 + 2497796*x**4\/3 + 4995604*x**3\/3 + 2497804*x**2\/3 = 0.\nAnswer: -1, 0, 624451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416 is divided by 153.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339440 is divided by 21211?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 2*h + 6 + 2 - 2. Let p be o(-3). Suppose 0 = s + 3, -p*x - 2*x + 2*s = -161. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -45.2. Let u = 90 - 86.1. Let g = u + p. What is g rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-11 - 0))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(18)\/sqrt(2)) - (sqrt(9) + (sqrt(54)*-2)\/sqrt(6)))\/(-6*((sqrt(3) + sqrt(3) + sqrt(24)\/(sqrt(16)\/sqrt(2)) - sqrt(3)) + sqrt(3)))*-2.\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -91*p**6\/6 + 99*p**2\/2 + p - 88. Find the second derivative of y(f) wrt f.\nAnswer: -1820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268093398.\nAnswer: 2, 3, 53, 67, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*a = -227*a + 20*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**2 - 2023*q + 123060. Let h(m) = -4*m**2 + 1010*m - 61528. Let k(a) = -13*h(a) - 6*l(a). Suppose k(y) = 0. What is y?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592747917 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: What is next in 1494, 1547, 1634, 1755?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -290?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 79431 = 91884 + 112617. What is the remainder when v is divided by 322?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + q - q**3)*(-2 - 3 + 4) + 2*q**3 - 15*q**3 + 34*q**3 + (2 + 4 - 4)*(4*q**3 - 2*q**3 - q**3) to the form p*q + l + x*q**2 + j*q**3 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 12:08 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 11 = z + 4*k, -3*z + 3*k - 51 = 0. Let d be (-1)\/((3\/z)\/1). Suppose 3*x - d = 13. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*c + 168 - 22 = 24*c - 264 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c\/c**(18\/11)))*c))\/c)\/c**(-2\/11))**(-44\/7) assuming c is positive.\nAnswer: c**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 16. Let h be o(0). Suppose h = 5*x - 4*x. What is the highest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1921 - 1631 = 24*k. Let m be (-6)\/(-9)*1*-3. What is the units digit of ((-4)\/2)\/(m*(-1)\/k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Let s = -3 + c. Calculate the smallest common multiple of s and 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -574 - -826. Suppose 5*v - 213 - a = 0. What are the prime factors of v?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470\/(-564))\/((-22)\/24)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3417 = 1373. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8)*-2)\/((-15)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/12)\/((-4)\/(-9)). Let u be 33\/27 - (0 - -1). Which is the closest to u? (a) n (b) 2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 + 16155*s**4 - 32425*s**3 - 307275*s**2 - 452680*s - 193980 = 0. What is s?\nAnswer: -3233, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, p: 6, u: 2, r: 1}. What is prob of sequence rupa?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -31. Let x be 0*3\/b*-1. Suppose 2*u - 11*u + 45 = x. Sort -2, u, 4\/3 in decreasing order.\nAnswer: u, 4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 6 + 6 + 3*w**3 + 0*w**3 - 4*w**3 + (3 + 2*w**2 - 3)*(w + 1 - 1) + 0*w**3 - 3*w**3 + 5*w**3 - w**3 + 4*w**3 - 4*w**3 + 8*w**3 - 4*w**3 + 4*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/((-966)\/(-207))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 421.205 and -9896545.\nAnswer: -9896123.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g - 5. What is the tens digit of s(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1624 - -3527. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2375 divided by -475?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*j**2 - j + 556?\nAnswer: 98*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 3*n + 0 + n + 13.\nAnswer: -2*n + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -5\/2, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 - 8 = 0. Let v be ((-10300)\/(-6))\/(n\/30). Round v to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 - 23*z**5 + z**5 + (-2*z**2 - z**4 + 2*z**2)*(-5*z + 3*z + 4*z + (z + z - z)*(1 + 2 - 2)).\nAnswer: -25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12143185.\nAnswer: 5, 17, 19, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 15*i**2 + 22*i - 19. Suppose 0 = 2*z + t - 34, 5*z = -3*t - 0*t + 86. Is q(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 2*d + 507*d**2 + 1325*d**2 - 1832*d**2 + 30*d**3.\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -33. Suppose -a + l*a = 116. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -fc (base 16) to base 4\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(16) - 1*sqrt(16))*-6)\/(sqrt(24)\/(sqrt(36)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (8\/(-6))\/(13 - 700\/60). Let f = 10 + -5. Solve c*m + 0 = f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -749 + 798. What is the highest common divisor of x and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - j + 1, -5*c - 2*j - 2*j - 2 = 0. Solve -2*i - c - 4 = 0, -3*i = -2*w + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1555.919 to the nearest 10.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 7*i**2 - 5*i - 8. Let g be o(-8). Let t = g + -46. Suppose 3*s - t = 124. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 2*h**4 - 3*h**3 - 17*h**2 - 17270*h + 17272*h as t*h**2 + a*h**4 + f + p*h + u*h**3 and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(1573) + 2 - (1*sqrt(1573) + sqrt(1573) - sqrt(1573))*1)**2 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.4439l in millilitres?\nAnswer: 64443.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 161, 541, 1281, 2501, 4321, 6861?\n\"Answer: 20*d**3 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 598986428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(720)*-2 + -2*(sqrt(720))**2.\nAnswer: -1442 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939512527.\nAnswer: 3067, 632381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -887, -688, -489?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 39*x**5\/7 + 26171*x**4\/7 + 183238*x**3\/7 + 424132*x**2\/7 + 47432*x + 15936\/7 = 0.\nAnswer: -664, -3, -2, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30 and -44\/26161955?\nAnswer: 156971730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 12*b + 10. Calculate the remainder when s(7) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 434597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6*x + 36, 18*x - 22*x - 26 = -3*f. Solve 0 = 17*a + f + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -745*f**3 - f**2 - 6*f + 15. Let p(k) = k**2 + 2*k - 5. Calculate -3*p(y) - x(y).\nAnswer: 745*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.202 and -122189.\nAnswer: -122189.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a factor of 178062192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 3*h**2 + 2*h**2)*(-12*h + 26*h - 4*h).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/120 + f**5\/4 - f**4\/6 + f**3\/6 + 6*f**2. Let c(b) = -b**2 - 6*b + 1. Let g be c(-5). Is w(g) 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 15623940?\nAnswer: 2, 3, 5, 260399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 + -166. Let x(k) = 2*k**3 - 2*k - 2. Give x(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 9*i**2 + 2*i - 13. Let j be u(9). Let p(t) = -16*t**2 - 5*t - 4. Let y be p(j). Calculate the common denominator of 59\/6 and 1*-1 - y\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167144484.\nAnswer: 2, 3, 13, 1071439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 22 - 43 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-587)\/(-2))\/((-20)\/40). Let h = g + 998. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -646735 + 1470992. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + -18 + (24 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h + 4577 - 4928 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 113919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h. Let d(l) be the first derivative of l**3\/3 - 9*l**2 - 6*l + 12094. Calculate d(z(q)).\nAnswer: 25*q**2 - 90*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1280 and 4.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (8*-1)\/4. Let h(c) = c**3 - c**2 - c. Let g(y) = -4*y**3 + 3*y**2 + 3*y - 1. What is x*h(w) + 2*g(w)?\nAnswer: -2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3483245 to one decimal place.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 + -16?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + -191. Put -1, -5, l in decreasing order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzk. What is prob of picking 1 k and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 20 = 17*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3, 0.3298, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 83*t**2 - 166*t - 417. Calculate q(85).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Let d(m) = -m**2 - m - 3. Let u be d(x). Let o be (1\/2)\/(u\/6). Is o > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d. Suppose 10*f + 15 = 15*f. Let x(w) = 3*w - f*w - 2*w. Calculate x(u(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**6\/120 + 2*v**5\/15 + 5*v**3\/6 + 20*v**2. Calculate u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7298.936 days in minutes?\nAnswer: 10510467.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/28 + (-79)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/7 and -48\/45037?\nAnswer: 315259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.79 - -0.79. Let j = 1.933 - 1.633. Sort -3\/7, -0.19, j, d in decreasing order.\nAnswer: j, -0.19, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12846219 to the power of 1\/2, to the nearest integer?\nAnswer: 3584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210371011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 22, -2\/9, -4, -3, 2\/3 in ascending order.\nAnswer: -4, -3, -2\/9, 2\/3, 1.2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/7725 and 44\/7725?\nAnswer: 7725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.005, -2, -5, -3, 0.3, -4\/15, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 16*l + 11*l + 21*l - 36*l.\nAnswer: 12*l - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2363 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4654?\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121007*i**3 - i**2 + 3*i + 66598438.\nAnswer: 363021*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4760 = 5*y - 130. What is the remainder when y is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 73. Suppose 5*s + 143 = 5568. What is the remainder when s is divided by r(5)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 1, w: 1, o: 2, q: 1}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 2*p**2 - 3*p - 4. Suppose z = 2*z + 11. Suppose -19 - 21 = 5*g + 4*h, -5*h = -2*g - 16. Let r = g - z. Give v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18203 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)*g*g**12 assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12825663 (base 9) to base 10\nAnswer: -6335553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/6278 and -55\/16.\nAnswer: 50224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1747.46 decades?\nAnswer: 17.4746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/70)\/(8\/(-30)*(-363)\/(-242)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 + 2 - 2)*(-x + x + 5*x) as n*x**2 + c + q*x + v*x**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9434.38 litres to millilitres.\nAnswer: 9434380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-9*w + 2*w + 18*w) + (-51*w + 6*w - 60*w)*(-1 + 5 - 1) in the form q*w + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 823449468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 20. What is b(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1375119 and -53\/9.\nAnswer: 1375119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvddddvdvnnvdndddn. What is prob of picking 1 v, 2 n, and 1 d?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5*c\/(c**(-6)*c*c) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -97*g + 2 - 6 - 118*g + 217*g. Let k(t) = t. What is 4*k(u) - q(u)?\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuv when three letters picked without replacement from {v: 11, u: 8, t: 1}?\nAnswer: 77\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 1, s: 1, w: 1, t: 1, i: 1}. Give prob of sequence yos.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 84. Let m be j(-16). Suppose -5*i - k - 3*k = 62, 4*i + 2*k = -m. Let q(x) = -2*x - 22. Calculate q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/4805 - 35553\/19220. Find the common denominator of (-5)\/32*-46 - 2 - 5 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 13)*9\/4. Suppose -4*p = 8 - t. What is the least common multiple of 6 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 99 = -15*p + 117. Calculate the remainder when 84 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2232 - 27677?\nAnswer: -25445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 10, 1, -5\/3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p**4 - 20*p**2 - 6*p - 6. Let l(h) = 32*h**4 + 60*h**2 + 17*h + 17. Let y(t) = -6*l(t) - 17*n(t). What is the third derivative of y(b) wrt b?\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + 9*k**2 - 39*k**2 + (-k + 0*k + 2*k)*(0*k + 0*k - 2*k))*(-k - 3*k + 2*k)*(-15*k**2 + k**2 + 26*k**2).\nAnswer: 648*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 122910409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2498819\/13209 - 9632\/51. Let v = x + -1\/37. What is the closest to v in -33, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 12) + (-5 - -10 - 5) + 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0837702 minus 828591384?\nAnswer: -828591383.9162298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 718*b**2*x**2 - 9*b*x**2 - 6*b + 2*x**2 wrt b?\nAnswer: 1436*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**2\/2 + 5*k - 85. Determine b(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.4, -22, -0.31, -3\/8?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.27 - 37. Let t = z - 2.67. Let o = t - -2. What is o rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.7895 + -65.6965. Let p = 53 + c. What is p rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 2 + 370*k**3 + 0*k - 367*k**3 - k**2)*(6*k - k + 2*k) in the form c*k + o*k**3 + x*k**4 + u*k**2 + r and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -292*m**3 + 2*m**2 + 5*m + 2. Let c be b(-2). Suppose -944 = -d - d + 4*v, 5*d - 4*v - c = 0. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 87*c = -552 - 392 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -64*t**3 - 575*t**2\/2 - 4*t - 54. What is the first derivative of y(g) wrt g?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 - 1208*h\/7 - 452176\/7.\nAnswer: (h + 236)*(3*h - 1916)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.02 (b) 1\/2 (c) 5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10111000?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -274*t - 35657. Give w(-132).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Suppose -6*x + 5*i - 5 = -x, 5*x = -2*i + 16. Suppose -f*y - 104 = -4*h, -x*h - 4*y + 80 = y. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -343.88 and -90.\nAnswer: -433.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3344 and 6.\nAnswer: 20064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 138, 7, 4, -4 in decreasing order.\nAnswer: 138, 7, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2223*f + 4446*f + 70 = 2218*f, 5*b - 4*b - f = 14 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19707797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-84)*2730\/(-650)\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 525 and 10?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -249 and 163990659.\nAnswer: 163990410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 6*l - 5. Let m be j(-7). Suppose 6*b + 51 - 21 = 0. Let i(h) = -2*h - 2. Let t be i(-3). Put m, t, b in decreasing order.\nAnswer: t, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9 + 78.8. Let h = t + -72.9. Is 110 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23241033324 - -1?\nAnswer: 23241033330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {l: 2, f: 3, g: 12}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20562661 rounded to three dps?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = j, 2*j = 3*a - 5*a - 4. Let p be -1*83*(-2 + 3). Let s be 2\/(-5) + p\/(-220). Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.7, -1\/3 in descending order.\nAnswer: 0.7, -1\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3030 + 24389637.\nAnswer: 24386607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, 0.2, -1\/6, -4, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 15, 25, 35, 45, 55?\n\"Answer: 10*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.74324 or -94?\nAnswer: 0.74324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 81778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 247303 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039 divided by -18?\nAnswer: 1039\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.808 + -30. Let y = -18.492 - t. What is y rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 408 = -4*s - 0*w, 5*s + 2*w - 512 = 0. Suppose 2*c - s = c + 2*q, c - 110 = -4*q. Suppose -110*o + c*o = 12. Put 3, o, -8 in descending order.\nAnswer: 3, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 3}. What is prob of sequence yygg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 34. Calculate h(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = -2*s, 6*s = 8*s - 4*k - 4. Solve -5*y - 14 + 3 = -s*z, 4 = -z - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 36. Let h be b(26). Suppose -2*a = -h*a - 8. What is the common denominator of a\/(-1) + (-332)\/48 and -67\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1835, 1837, 1839, 1841?\n\"Answer: 2*v + 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2665 and 17425.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-5 - -1))\/(1\/2). Let i be (t\/(-6))\/(-1) + (-1)\/3. Let d(b) be the third derivative of -b**5\/15 + b**4\/12 + b**3\/6 + 2*b**2. What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 27 = -8*q + 97, -13*y + 10*y = 2*q - 75 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 15*k**2\/2 - 48*k - 12. What is the tens digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/7)*q**(-3\/7)*(q**(1\/19)\/q)**(1\/25) assuming q is positive.\nAnswer: q**(-2501\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55796130 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*l - 17, -3 - 11 = 2*i + 4*l. Suppose 0 = -5*r - 2*w + 1, 5*r - 3 = -2*w + w. Let s(t) = -151*t - r - 5*t**2 + 153*t + 2*t**2. Give s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 23. Let b = -95 - -120. Suppose 6*o - o - b = 0. Let h be k(o). Solve -c = -3*c - h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 14) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 + 71. Let g = -47 - l. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1063140 - 236236 = -52*j. List the prime factors of j.\nAnswer: 2, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1933 + 7669 = 2*i, -4*c + 24061 = 5*i. List the prime factors of i.\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**2 - i. Determine h(-2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(35\/2)*-1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 7*a**2 - 17*a - 6. Let l be o(9). Suppose 24 = -5*g - w - 2, 5*w = -4*g - 4. Let p be g + (-3)\/(1\/(-1)). Put 4, p, l in decreasing order.\nAnswer: 4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2204)\/(-532) - 3*-1)\/((-3072)\/(-1344))?\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Suppose 0 = -4*q - 4*t - 191 - 373, 2*t + 568 = -4*q. Which is greater: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699985442 to the power of 1\/2, to the nearest integer?\nAnswer: 41231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 6878700?\nAnswer: 6878700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 6 (b) 4 (c) 5\/4 (d) -3 (e) 7 (f) -1 (g) 12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 41509 = 7*i + 27040. Is i a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from fgl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, z: 13, r: 1}. What is prob of sequence hhzr?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5146, 41123, 138742, 328825, 642194, 1109671, 1762078?\nAnswer: 2630237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b600 (base 14) in base 8?\nAnswer: 551300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 2*f - 15*o - 146, 10 = -4*f + 2*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*j + 576*j = -118*j + 3706 + 25638 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c - 3. Let w be (-8)\/4 + (2 - -2). Let i be x(w). Let h be 17 - (i + -2 + 5). What is the highest common divisor of 52 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2330.36ml?\nAnswer: 2.33036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 2*d - 4*d**2 + 3*d**2 + (-2*d + 1 - 1)*(4*d + d - 4*d) + 0*d - d**2 + 0*d)*(5894 - 4238 + 1150 + 7542) to n*d + j*d**2 + z and give j.\nAnswer: -41392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 164016*c**2 - 328026*c + 164012.\nAnswer: -2*(c - 82006)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/10)\/3*(-2)\/(-3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/9 + 44*g**2\/9 - 152*g\/9 + 16 = 0.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 630 = 2*q, -c - q + 159 = -0*c. Is c greater than or equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 + 17 + -20 + -15 - 1) + -20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 7*v = -36. Let g be ((-3)\/v)\/(1\/6). Find the second derivative of g + 2*j**4 + 4*j - 3 - 8*j wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x + 1. Let p(g) = -2*g**2 - 4*g - 3. Let z = 55 + -42. Let i(l) = -l**3 + 17*l**2 - 54*l + 27. Let c be i(z). Determine c*p(k) + 3*v(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from fizzzimmzzmzzzzmmzfm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/6 - 3*h**2\/2 - 2*h. Let r be u(-7). Suppose 0 = -r*x + 3 - 19. Put -2, 5, x in increasing order.\nAnswer: x, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027497 rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -1\/8 (c) 5 (d) 90949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, n: 1, c: 1, d: 3, w: 2, u: 1}. Give prob of picking 1 d, 1 n, 1 c, and 1 u.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 29. Let q = f - -13. Solve 3*z - o + 2*o - 10 = 0, -3*z + 22 = -q*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2136)\/66*-1 + (-1596)\/4389.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7621, -30457, -68515, -121795, -190297, -274021, -372967?\nAnswer: -487135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 220 - 225 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28981 and 5?\nAnswer: -144905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -18*z**2 - z**3 + 22*z**2 + 2*z**3 + 18 - 4. Calculate the smallest common multiple of u(0) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/50)\/(56\/112). Which is the third biggest value? (a) 2\/13 (b) -5 (c) r (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3)\/((-44)\/14 + 3). Is (-31547)\/s + 18\/63 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1791950?\nAnswer: 1791950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 6*o - 2. Suppose o*t + 4 = 12. Suppose k - t = 9. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + l - l - 1557*l**3 + 1522*l**3.\nAnswer: -35*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 2, k: 1, g: 1, v: 3, h: 5}. What is prob of sequence kvgp?\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 > -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12144, 12143, 12142, 12141?\n\"Answer: -x + 12145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 289506\/2507 at least 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 - -0.02. Let k = -0.7 - -2.7. Put -2, k, p in increasing order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*k**2 + 923*k**2 - 309*k**2.\nAnswer: 1732*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1510*x**2 + 1 + 702*x**3 - 1691*x**2 - 2014*x**3 wrt x?\nAnswer: -7872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = p - 3*s + 34 - 4, -5*p + 80 = 8*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 6. Let j(b) = 72700 - 145401 + 72702. Let u be 2\/3 + 32\/6. What is u*j(z) + w(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95343 + 13.\nAnswer: -95330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3781200 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -479373*u**2 + 0 + 31*u - 1 + 479377*u**2. Let w(x) = x**2 + 6*x. Determine -2*n(d) + 11*w(d).\nAnswer: 3*d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*o**2 - 113*o**2 + 2*o**3 + 856 - 858.\nAnswer: 2*o**3 - 199*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 0*u - 2*u)*(9 + 36*u + 42*u - 81*u) to the form w*u + t + k*u**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 4\/10 + (-172)\/(-20). Solve 0 = -3*x + 15, 3*y + 11*x - c*x - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.035215475 + -0.03522. Round j to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/5 - 292728*g**3\/5 - 10706525064*g**2\/5 + 342908621056*g\/5 = 0.\nAnswer: -73198, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*f - 8*f**3 + 5*f**3 - 269*f + 216 - 101 - 115.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42670 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120928 + 120933. Let y = -0.8 + 1. What is the fourth biggest value in -1\/11, y, u, -0.03?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*l - 78 = 0, -28 + 0 = 2*u - 2*l. Let t(q) = -q**3 - 19*q**2 - 20*q - 15. Let p be t(u). Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*z**2 + 5*z**2 - 26*z**2 + 8*z**2 + 3*z - 146 wrt z?\nAnswer: -18*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(3\/(-54)). Let f(k) = k - 16. Let w be f(p). Let x = 0.11 - 0.11. Sort x, 1\/5, w in descending order.\nAnswer: 1\/5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226557911 and 14488?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k + 374 = 119*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1 - 0) + 0. Suppose -w*x = -5*x. Let c(j) = x + 121*j - 132*j + 0. Determine c(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 21266?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 302?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -21*n**2. Let k(y) = -4*y**2 + 2*y**2 + 0*y**2 + 6*y**2. Give x(k(w)).\nAnswer: -336*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Suppose -k - 12 = j - 3*j, 4*j = -z*k + 36. Calculate the remainder when 19 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/40)\/(1\/(-15)) - 3. Let j(w) be the third derivative of 0*w**3 + 0 + 0*w + 0*w**5 - 1\/300*w**o + 0*w**4 + w**2. Suppose j(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*t + 3*y, -3*t - 3*y = -2 - 16. Solve 0*z - n - t = -5*z, -20 = -4*z - 2*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2 and (6\/261)\/((-16)\/444)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let w be (-4)\/(2\/(z + -3)). Suppose -w*h + 170 = 3*h. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641706 is divided by 83.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f + 1. Let a(x) = -2*x**3 - 2*x**2 + x + 1. Let h be ((-26)\/(-104))\/((-12)\/48). What is h*a(s) - b(s)?\nAnswer: 2*s**3 + s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - 3) + 2)\/1. Suppose 4*t = -8, 0 = -h*c + 2*c - 5*t - 52. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (88\/88)\/((4\/2)\/166). Suppose 483 - m = 8*k. What is the remainder when 240 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 - 12148 = 25*l. Is 10 a factor of l\/(-3) + 2 + (0 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15*k - 83 - k + 7*k + 27*k**2 + k**3 - 4*k + 3*k**2. What is the remainder when t(-29) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d - 5*d - d**2 + 3 + 7*d. Let p be x(9). Suppose 0*k = p*k - 54. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 164?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3736, 3732, 3726, 3718, 3708?\n\"Answer: -x**2 - x + 3738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1296*v**3 + 285516432*v**2 + 31724060*v + 881224.\nAnswer: -4*(v - 220306)*(18*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 8*b**2 - 9*b + 5. Determine y(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 8*b + 52. Calculate l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1566733*r - 3451390.\nAnswer: -1566733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 23937 = -8618. Is 59 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/29234 or -1?\nAnswer: 33\/29234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -132, -0.1, -0.037, 18?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, l: 1, x: 3}. Give prob of sequence lh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2745369003*p**3\/5 - 2741557377*p**2\/5 + 3810303*p\/5 - 1323\/5 = 0. Calculate p.\nAnswer: -1, 21\/30251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**3 + 6*k**2 + 1333*k + 5311. What is d(-4)?\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/9 - 17*w**3\/9 + w**2\/9 + 17*w\/9.\nAnswer: -w*(w - 1)*(w + 1)*(w + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*p**2 + 60*p - 60*p)*(-5*p - p + 4*p) - 2*p**3 + 4*p**3 - 3*p**3.\nAnswer: -213*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1853 divided by -2.\nAnswer: 1853\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2\/17 (b) -0.3 (c) -5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(847) + (0 + sqrt(847) - sqrt(847)) - sqrt(847)) + sqrt(847))**2 + sqrt(847) + 1*sqrt(847)*4)*3 + 1.\nAnswer: -33*sqrt(7) + 2569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7659705.6 times 0.2?\nAnswer: -1531941.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 52 = -0*w. Let t = 19 + w. What is the least common multiple of t and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {c: 1, f: 2, v: 1, u: 11, e: 2, r: 2}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-12)\/4)*2\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.3, 2, -3, 29, -3.07.\nAnswer: -3.07, -3, -0.3, -1\/6, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 + (-34)\/(-8). Suppose -q + 3 = 2*w, 3 = 2*w - i*q - 6. Solve 2*a - 3*n = n + w, n = -a - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12472*m**4 - 188*m**2 + 18*m - 2.\nAnswer: -299328*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3465698287.\nAnswer: 19, 73, 2498701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -25*j + 6. Let z be (-2 - (-33)\/15)*(2 - 7). Let r(c) = c - 1. Give z*b(f) - 6*r(f).\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 2:15 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 269938460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*-1*sqrt(7) + -2*(sqrt(28)*-1)**2)*2.\nAnswer: -116 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 9:59 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 23*w - 33*w + 80*w - 20*w - 11*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272 or 543\/2?\nAnswer: 543\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141896, 141887, 141876, 141863, 141848, 141831?\nAnswer: 141812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 2*o**2 + o + 9. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 61 + 59 = 0. Let z be 82\/4 - 1\/(-2). Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*j + 25, n - 4*j - 12 = 10. Let c = 6 - n. Determine i, given that 18*i**c - 14*i**5 + 3*i**3 + 4*i + 5*i**3 + 2*i**3 - 18*i**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Suppose 2*p + 5*g = 274, d*g + 2*g = -3*p + 397. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*u = -101 + 89, 0 = -2*l - 3*u - 12. Let q(o) = -o + 1. Let f be q(7). Put 2, l, f in ascending order.\nAnswer: f, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(495)*6)\/(4*sqrt(81)))\/(((sqrt(1331)*2 + sqrt(1331) - sqrt(1331))*2 + sqrt(1331))*5).\nAnswer: sqrt(5)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1133 + -900. What is the third biggest value in 1, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2252\nAnswer: 1\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 2*h**3 + 3*h)*(-311 - 354 + 45 + 137 - 190) to k*h**3 + q + u*h**2 + v*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.225292836 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15702, -31042, -46382, -61722?\n\"Answer: -15340*o - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67240 by -4.\nAnswer: 16810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 65135 = -5*b - 6*s, 4*b - 2*s - 52102 = 0. List the prime factors of b.\nAnswer: 2, 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -90\/13 (c) 0.3 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432534690.\nAnswer: 2, 3, 5, 7, 686563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 5308005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtbhhttwrbwhbhl. What is prob of picking 3 t and 1 h?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1761 = -3*y - 5*p + 447, 3*y = 2*p + 2208. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10935 + -10992)\/(-2*2\/8).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 198038490*c - 224978621 wrt c?\nAnswer: 198038490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 4*k**2 - 6*k**2 + 8*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(1\/10)\/(a\/((a\/(a**(1\/5)\/a))\/a)*a)**10 assuming a is positive.\nAnswer: a**(-241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4320811944.7171 + 0.5\nAnswer: -4320811944.2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*r - 8 = 0, -b + 4*r + 10 = 3*r. Suppose 2*j + 1104 = b*j - 4*c, 2*c = 3*j - 824. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 3*j - 14. Is y(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814 and 17247402?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*s + 2*s + 1, -3*a + s = -10. Suppose -h - 5*n = -4, -a*h - h - n = -92. Find the second derivative of 10*x - 4*x - h*x**2 - 16*x**2 + 39*x wrt x.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10354*s*z + 106*s + z + 2370354 wrt s?\nAnswer: -10354*z + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689134 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least as big as 7.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 5}. What is prob of picking 3 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 21. Sort o, -1, 5 in ascending order.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = v. Suppose -76 = v*p - 4. Calculate the lowest common multiple of 6 and ((-3)\/1)\/(9\/p).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-12)*d**(-1\/7) assuming d is positive.\nAnswer: d**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2405391639 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5 - 24*a**4 - 26*a**3 + 288*a**2 + 288*a = 0.\nAnswer: -3, -1, 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 + -2.8. Which is the nearest to -2? (a) s (b) 2\/11 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, c: 1, l: 5}. What is prob of picking 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 - 3168*w**2 + 131517*w - 850920 = 0. Calculate w.\nAnswer: 8, 35, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95200 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 2*j**2 - 3*j**3 + 4*j**2.\nAnswer: -3*j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w**(-1\/24)\/w)*(w\/(w**(16\/9)\/w))\/w*w\/(w*w**(-29)*w)*w**24 assuming w is positive.\nAnswer: w**(3907\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 + t**2\/2 + 3. Determine w, given that u(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:51 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 8*p - 4. Let s be 3\/((-3)\/4*p). Suppose 5*k - 49 - 28 = s*m, -3*k + 2*m + 45 = 0. Calculate the remainder when k is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/10)\/k)**(16\/7)*k**(-1\/12)\/(k*k\/(k**16*k)*k*k) assuming k is positive.\nAnswer: k**(679\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0551 and -81886006.\nAnswer: -81886006.0551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2298889490 to the nearest integer?\nAnswer: 47947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-257455)\/(-6795)*(-12)\/(-22)*9\/2?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 7*p + 1. Suppose -35 = 3*r - 89. Let s be 7\/(-3) + (-12)\/r. Let f be x(s). Calculate the greatest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-4 + 2)) + 80 + -49.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((-1)\/1 - 2). Let c(y) = y - 27. Let j be c(23). Let r(l) = l**3 + 4*l**2 - l + 1. Let h be r(j). Solve -6 = -d*x + h*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -31, -57, -83?\n\"Answer: -26*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713340 and 6480.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 2343?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 + 8*b - 7. Let p be d(6). Suppose -p*w + 4*c = -3*w - 6, 0 = w + 4*c - 3. Let o be -1 - 3\/(3\/(-4)). Is o at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**3 + 46*v**2 + 7*v - 15. Let q(n) = 12*n**3 + 45*n**2 + 8*n - 14. Let t(k) = -4*q(k) + 5*x(k). What is the second derivative of t(a) wrt a?\nAnswer: 12*a + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let a(k) = -21117*k. Determine d(a(s)).\nAnswer: -445927689*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17886, -17888, -17890, -17892?\n\"Answer: -2*g - 17884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 92415\/(-3333) - 8\/(-11)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1522294 and 4294545?\nAnswer: 6983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from rrllllrrrrrrrl.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6829 is divided by 6815.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -282.38 - -6.38. Let s = 279 + g. Which is the biggest value? (a) 5 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5591.307ug in milligrams?\nAnswer: 5.591307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 2:16 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 - 4*t**4 + 0*t**4)*(5 - 5 + 3)*(-1 + 1 + 1).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -23*y - 1. Let q be x(1). Let u be (6\/(-4))\/(18\/q). Let d be 4\/(-6) - (-24)\/9. Solve -d*w - 4 - u = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -21*l - 81. Calculate the remainder when 18 is divided by p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0464215g?\nAnswer: 0.0000000464215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f\/f**(-2))\/f)))\/f)**(-7)*(f\/(f\/f**(-2\/3))*f)**(12\/5) assuming f is positive.\nAnswer: f**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(25)\/(sqrt(15)\/sqrt(3)) + sqrt(5)) + ((sqrt(147) + 1)**2 - ((sqrt(3) + 1)**2 + 3)).\nAnswer: 25*sqrt(3)\/2 + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/((-3)\/75*(-3)\/3450). Round r to the nearest ten thousand.\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -2907.95.\nAnswer: 40711.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 - 2*p**2 - 2*p - 3. What is w(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 6 - -4 - -7 - 12) + 32\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -16. Suppose 3*b = -4 + 1. Let o = -3 - -2.5. What is the nearest to b in 0.4, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-168)*(-5)\/(-390)*12.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 8*f**2 - 20*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.36279 kilometers in meters?\nAnswer: 2362.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(896\/49)*5*24\/(-420)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + -44145017?\nAnswer: -44145045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let g(i) be the first derivative of 2*i**4\/3 - 7*i + 5. Let s(c) be the first derivative of g(c). Give h(s(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 3*u**2 + u**3 + 6*u**3 + 3*u**3.\nAnswer: 12*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/12820 and 93\/50.\nAnswer: 64100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:59 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*o - 2*o = -1, 5*o = -3*r - 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13340960 by -1.\nAnswer: -13340960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -362660.2 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 219 - -1d14b?\nAnswer: 1d365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 142644684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58692360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 10, -17*u + d = -19*u - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 + -0.3. Let c = v + -2.8. What is the second smallest value in c, -1\/4, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6539964315.\nAnswer: 3, 5, 269, 907, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111172 times -0.4?\nAnswer: -44468.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 2*h, 4*y - 3*y + 20 = 2*h. Let o be 18\/h - (-5)\/2. Suppose -o*x + 35 = 15. Sort 2, -3, x in decreasing order.\nAnswer: x, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f. Let o(c) be the third derivative of 1\/420*c**6 + f + 1\/105*c**5 + 0*c + 3*c**2 + 1\/84*c**4 + 0*c**3. Factor o(v).\nAnswer: 2*v*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1902798 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27110 divided by 13555.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 27 (c) 0 (d) -28\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**7\/1260 + t**6\/60 + 9*t**5\/20 - t**4\/12 - 2*t**2 - 48*t. Let s(y) be the third derivative of u(y). Solve s(k) = 0.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z + 1. Let c be k(-1). Suppose -26*r - 14 = -28*r. What is the highest common divisor of r and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276535781.\nAnswer: 276535781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 7:31 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((5 + -7)\/14)\/((-8)\/28). What is the fourth biggest value in m, 2\/7, -2\/5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 63. Let d = 70 - o. Let t(v) = 6*v + 2. Determine t(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 x when three letters picked without replacement from {x: 3, j: 5, e: 5, k: 5, r: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:32 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(7) + 2)*2)**2 - 2*(((sqrt(7)*-2*2)**2 - sqrt(7) - sqrt(7)) + (sqrt(7) - (sqrt(7) - (-2 + sqrt(14)\/sqrt(2))))).\nAnswer: -3036 - 1022*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 4*o. Suppose 0*j = -5*j + 35. Calculate the greatest common factor of o and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3975\/232 - 660\/29. Let w be -1 + -137*(-3)\/6. Let s = w + -551\/10. Calculate the common denominator of d and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 3. Let i = 1 + k. Let p(w) = 4 - 1 + w**i - 2. What is p(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 5 (c) -2 (d) 0 (e) -4\/3911 (f) -7 (g) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1740*p**2 - 873*p + 11. Let a(y) = 870*y**2 - 437*y + 6. Let b(s) = -11*a(s) + 6*h(s). Find the second derivative of b(m) wrt m.\nAnswer: 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2199 - -2210. What is the smallest common multiple of v and 794?\nAnswer: 8734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85225, -170327, -255429, -340531?\nAnswer: -425633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1031 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367\/6 + 61. What is the closest to p in 5, 4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*c - 1, -8*c + 4*c - 9 = 5*g. Find v, given that -v - 2\/3 + 1\/3*v**c + 1\/3*v**2 + v**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2162 + 2453. What is the remainder when g is divided by 130?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (420\/(-3822)*-39)\/(3\/(21\/2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -58. Let c = -4082757031.99999981 + 4082756989. Let y = o + c. Round y to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -191849*i**2 + 312*i + 20. Let v be u(-10). Round v to the nearest one hundred thousand.\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1197 and -52\/99.\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 23 = -3*w, -3*w - 4 = -16. Solve -j*v + 10*v = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2. Let t(k) = 38*k + 2. Determine f(t(d)).\nAnswer: 4332*d**2 + 456*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 + 3 + 1 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n. Let q(y) = -2*y. Let k(t) = -6*a(t) + 14*q(t). Let w(i) = 2*i - 7. Calculate k(w(z)).\nAnswer: 4*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -3*u**4\/4 + 7*u**3 - 21*u**2 + 24*u + 582. Determine y, given that d(y) = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a factor of 3097252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:58 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-39)\/s)\/s)\/s**5)\/(s**(-4\/13))**(-1\/9))**36 assuming s is positive.\nAnswer: s**(-21544\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = -2*g + 2*m, 3*m - 12 = 2*g. What is the remainder when 0 + 2 + 9 + g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111875 (base 16) to base 14\nAnswer: 212429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f. Suppose f*j = -3*j + 162. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0355 and 68?\nAnswer: -2.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -70 + -8 + 6*1\/3. Let g be (((-19)\/x)\/(2\/16))\/2. Factor 19\/2*l + 8*l**4 + g + 57\/2*l**2 + 28*l**3.\nAnswer: (l + 1)*(l + 2)*(4*l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.3 + 4.8. Which is the closest to 0? (a) t (b) -0.04 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/72*(54\/4)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 63*c**2 + 87*c + 83. What is q(30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-2)\/(-6)*(2 - 2). Solve t - 3*t - 8 = m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b + 9. Let o(l) = -l. Let s(n) = -j(n) + 6*o(n). Let a(q) = -7*q + q - 11*q - 10 + 24*q + 2*q. Determine 5*a(g) - 6*s(g).\nAnswer: -3*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**2*p**2*q**2 + n**2*p*q + n**2*p + 4*n**2*q**2 - 4*n*p**4*q**2 + n*p*q wrt p.\nAnswer: 12*n**2*q**2 - 48*n*p**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + sqrt(7) + -1 - (sqrt(35)\/sqrt(5) + -3)**2.\nAnswer: -17 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7618\/209 not equal to 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5389 and 6778.\nAnswer: 36526642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 16953837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 10 - (16 + -36 + -21 + 37).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 - d**3 + 8 - 4*d + 11 - 28. Let s be t(6). Suppose s*y = -y - j + 124, y - 5*j - 52 = 0. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2244011 (base 6) to base 15\nAnswer: -240b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 65, 61, 37, -13, -95, -215, -379?\n\"Answer: -r**3 - r**2 + 20*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -237, -703, -1487, -2661, -4297, -6467, -9243?\nAnswer: -12697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/36 and 71\/92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 281\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 62712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - (0 - -17)) + (-16 - -35)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 101.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 103232.4 to the nearest 100.\nAnswer: 103200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d - -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 879989 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 a be 4\/9*16\/32. Sort a, -0.1, -0.5, 2\/7 in increasing order.\nAnswer: -0.5, -0.1, a, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -5*v + 2*a + 2*a, -a + 24 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -25*a**2 + 1291*a + 74. List the prime factors of d(37).\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let o = 25.4 - 24.4. Which is the fourth biggest value? (a) 0.2 (b) r (c) o (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**3 - 3*b**2 + 3*b + 3. Let m(p) = -10*p**3 + 2*p**2 - 2*p - 2. Suppose 0 = 231*j + 444 + 18. Let l = 5 - 8. Determine j*q(i) + l*m(i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19236 is divided by 370.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 m when three letters picked without replacement from {j: 3, l: 3, y: 3, m: 2, f: 2, e: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323119\/30 - -10769. Let k = m + 11\/6. Let n = 229 + -234. Which is the second biggest value? (a) k (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-43)\/((-19006)\/(-8024)) + 18. Let s = -2 + 17. Which is the smallest value? (a) s (b) d (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 - 1175*m**3 - 11055*m**2 + 43875*m = 0. What is m?\nAnswer: -225, -13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(4\/15))\/((g*g\/(g\/(g**9\/g)))\/g)*(g**(-10))**(5\/3) assuming g is positive.\nAnswer: g**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729485.\nAnswer: 3, 5, 23, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 22*x**2 + x + 1. Let h be (-1)\/3*1*3. Let l be q(h). List the prime factors of 194\/l - 14\/(-77).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13824)\/117 + 118)*2\/6*-13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258323 and 161603?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r - 51. Does 50 divide v(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = f - 9. Solve f*h = -3*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o - 8. Let h be b(-4). What are the prime factors of -3 + 22\/8 + (-2303)\/h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - (1 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Suppose 0 = 4*g - l - 16, j*g + 7 = -4*l - 0*l. Suppose -4 = g*w - 16. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41361647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*a + 90*a - 69*a - 134*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114309 and 1037574.\nAnswer: 13488462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 241 + 39 = 6*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 1?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 7. Let o(m) = -45*m - 159. Determine z(o(y)).\nAnswer: 135*y + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 9 - (2 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 501.3 + 4.\nAnswer: 505.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 121 = -u - 122, 2*u + 3*s = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1.4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/78)\/((-21)\/(1008\/32))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/5)\/(14\/(-35)). Suppose 9 = -4*a + j*a. Let c(o) = -2*o + 2. Give c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/9)\/m)\/m)\/m*m*m\/(m*(m\/m**4)\/m*m)*m**3*m**(-2\/25)*m)**(-16\/5) assuming m is positive.\nAnswer: m**(-16912\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let n(s) = -2*s**2 + 6*s + 5. Let l(i) = -n(i) + 5*z(i). Let d be l(3). Solve j - 3*j - 2 = d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/336 and 97\/14812?\nAnswer: 177744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/7*(-16*31\/(-496))\/((-1)\/2)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18337030?\nAnswer: 2, 5, 439, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -88, -149, -242, -373, -548?\n\"Answer: -l**3 - 7*l**2 - 7*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 - 432*c**3 + 1324*c**2 - 888*c.\nAnswer: -4*c*(c - 2)*(c - 1)*(c + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*w - 7, 9*n = 4*n - w + 11. Suppose -23 - 1 = -3*f. Solve 2*s + n*s = -f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11375 + 1470 = -2127*b + 2210 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 63 = -9*i + 55 - 312 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5282 + 10567 - 5285 - 3*g**3 + 17*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g. Let x be q(-2). Suppose u - x*u + 3 = 0. Calculate the lowest common multiple of 8 and u\/12 + (-55)\/(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382 and 866254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 49. Let n be 1*(g - -1)*-194. Suppose 7*i - n = 5*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = d + 414. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21842.\nAnswer: 2, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1634, 1793, 1954, 2117, 2282, 2449, 2618?\n\"Answer: q**2 + 156*q + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 3*d - d + (3*d + d - 2*d)*(2 - 7 + 3) + 0 + d + 0 + 0*d + 494 + 38*d - 496 + (-1 + 1 + 3)*(2*d + 1 - 1) - 3 - 2*d + 3 as u*d + n and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/785 and 37\/836025.\nAnswer: 836025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 5*q + 16. What is s(-7)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62ab (base 16) in base 7?\nAnswer: 133433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.9 + -9.9. Let d(t) = 5*t + 15. Let m be d(-7). Let h = m - -15. What is the second smallest value in 0.3, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -169\/9. Sort t, 2\/13, 2 in increasing order.\nAnswer: 2\/13, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28511117?\nAnswer: 28511117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -0.08 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 5, -8252, -3\/13 in decreasing order.\nAnswer: 5, 0.06, -3\/13, -8252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*m - 0 - 8, 3*r = -3*m - 6. Let q be (55\/22)\/(5\/m + 2). Which is greater: -8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -4. Let v(x) be the first derivative of x**4\/4 + 3*x**3 + 6*x - 2. What is the remainder when i is divided by v(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34750*j + 462 = -34904*j. Let w be (-18)\/(-4)*12\/9. Sort w, -4, j.\nAnswer: -4, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1307658522 plus 27?\nAnswer: -1307658495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -604*q. Let w(h) = 19510*h + 1. Determine k(w(r)).\nAnswer: -11784040*r - 604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5463546 by 248343.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n**5 + 5*n**4 + 3*n**3 + 8*n**2. Let o(x) = -5*x**5 + 2*x**4 + x**3 + 3*x**2. Let q(m) = 3*a(m) - 8*o(m). Factor q(c).\nAnswer: -c**3*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*a**2 + 153*a**2 - 27*a - 24 + 19*a - 30*a**2 - 29*a**2 wrt a.\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36418580 and 91784?\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*24\/14. Let v = 0.1 + -4.1. Let w = 0.1 - -1.9. Which is the second biggest value? (a) x (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7537 - 7536.9992518. What is x rounded to 5 decimal places?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3615 - -5888. List the prime factors of m.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose -l*h = 2*h. What is the units digit of 3 + h - (0 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 17 - 2209 = 0. Let x = z - 254. Let g = 122 - x. Solve -g*b + 1 = -9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3 + 5 = 0. Are v and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28*j**2 + 252*j + 121. What is y(10)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 2660\/(-80) - 23.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20409508 or 20409490?\nAnswer: 20409490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**7\/840 - p**5\/40 - p**3 + 1. Let r(a) be the third derivative of g(a). What is the second derivative of r(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hla when three letters picked without replacement from {l: 3, a: 2, u: 11, h: 1, b: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -127\/3. Let s = -1 - -1. Let n be (-16)\/12*(-2)\/12. What is the closest to j in n, s, -4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/5 (c) -4 (d) 0.15 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231 - -12?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*r**3*t**3 + 7*r**3*t**2 - r**2*t**2 - 2*t**2 wrt t.\nAnswer: 474*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-80) + (-243)\/24. Let t(r) = r**2 + 2*r - 9. Calculate t(a).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580 and 27500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167150.59*4.\nAnswer: 668602.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offfjoo. Give prob of picking 1 j and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1*69\/46. Suppose 103 - 355 = -c*s. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v - 84 = -52*v. Let l = v - 11. Calculate the greatest common divisor of 50 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -25. Let a = 77 - h. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20038 divided by -1\nAnswer: 20038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*o - 10468, -4*r + 7831 = -r - 2*o. Let u = 5325\/2 - r. Let g = -2335\/6 - -376. Calculate the common denominator of u and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 14*k + 14. Let f be v(-14). Suppose -4*h - p = -f, 0 = -2*h + 5*p + 18. Calculate the lowest common multiple of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 33 = -110*a + 115*a, -23 = -5*a - n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -31.9. Let s = -0.8986 + n. What is s rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t - 2*t)*(3*t - t - t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13787 + 13787 - 44*c)*(-3*c**2 - c**2 + 2*c**2) as o*c**3 + v*c + r*c**2 + h and give o.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -266 + 531 - 5*q - 269 - 11*q in the form r*q + o and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -0.3 (c) 3326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*sqrt(7))**2 + -2*sqrt(567).\nAnswer: -48*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3 - 2*s**2 - 3. Let o = 248 - 229. Let t(a) = -9*a**2 + o*a**2 + 4*a**2 + 5*a**2 + 3*a**2. What is i(t(w))?\nAnswer: -968*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -410*o + 2. Let f(t) = -11*t**2 + 5. Determine q(f(k)).\nAnswer: 4510*k**2 - 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgki when four letters picked without replacement from kgkif.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**5 - 2*g**2 + 3*g**2 - 5*g**5 + 3*g**5 wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -11. Let n be 1*(y + -3)\/(-1). Let h(f) be the first derivative of -f**3\/3 + 5*f**2\/2 + 6*f - 2. What is h(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244452 + 51301?\nAnswer: -153151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270690 divided by 2?\nAnswer: 135345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*q + 506, 0*z = -2*z - 2*q + 518. Suppose 4*b + z = 1040. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110201110022202 (base 3) in base 16?\nAnswer: 67273d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59, 56, 51, 44, 35, 24, 11?\n\"Answer: -j**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -20*(2 - 27\/12). Suppose 3*m - x*n - 65 = -4*n, 2*m = 4*n + 40. Let q be 1*m - (16 + -14). Solve -2*d + q = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 21. Let w be r(-10). What is the third derivative of -5 - 9*o**3 + w*o**2 - 20*o**3 + 5 wrt o?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6194?\nAnswer: 2, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1. Let j(b) = 6*b**2 - 4*b + 121. Let o(z) = 4*a(z) - j(z). What is the derivative of o(u) wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51592*m - 110111?\nAnswer: -51592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279859086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4188 + -4185. Which is the closest to g? (a) -0.9 (b) -1\/9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 8976?\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3285076 times -3\nAnswer: -9855228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let x(z) be the third derivative of -165*z**5\/4 - 4*z**2 - 37*z - 2. Give w(x(s)).\nAnswer: 2475*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 10*z**2 - 20*z - 16. Let a be k(12). What is a rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*k. Suppose k = 11*a + 6 + 5. Is a != 2\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0081 + -0.0919. Let t = -0.037 + 1.057. Let k = 0.02 - t. What is the second biggest value in 1, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228036 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(8)*5 - sqrt(20))*-5)\/(4*sqrt(810)*2).\nAnswer: -5*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 12:51 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/8150 and -49\/613695.\nAnswer: 6136950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.04 - -34. Let j = -0.04 - f. What is the nearest to -8 in j, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9130138 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 5*g - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 m when four letters picked without replacement from ooopomommmooo?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 4, r: 1, q: 5, y: 1, u: 5, w: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v = -4*y + 40, 0 = 5*y - v - 29. Suppose y*w - 19 - 6 = 0. Which is the biggest value? (a) -3 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 4308349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 1\/2*z**3 + 31*z + 71\/2*z**2 + 0 - 5\/12*z**4. What is the derivative of u(y) wrt y?\nAnswer: -10*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 9*s - 8. Let p be j(10). Let d(z) = z**2 + 6*z - 25. Let a be d(-9). What is the greatest common divisor of p and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 10:06 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741813 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*t - 9 = -96*t. Put -1, 43, -4, t in decreasing order.\nAnswer: 43, t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -395330191\/2 at least as big as -197665096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -2*g, 3*q = -g + 4*q + 9. Suppose 0 = 5*y, -n + 0*y = 2*y - g. Let v(d) = 4*d**2 + 8*d - 12 - 5*d**2 + 9. Calculate v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v. Let m(g) = -18213*g**2 + 1. What is d(m(k))?\nAnswer: -291408*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:53 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 63?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*c - 3*v - v, 2*v = c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:35 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 3\/56 (b) -0.4 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -1\/120*a**6 + 1\/6*a**4 - a**2 + 1\/2*a**3 + 0*a + 0*a**5 + 0. List the prime factors of k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(475875\/95325) - 9?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25430620, 50861234, 76291848, 101722462, 127153076, 152583690?\n\"Answer: 25430614*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249 and 18343.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 20 = -g - 5*w, 0 = -w - 2. Suppose 0*u + 12 = g*u. Suppose -8*v - 16 = -72. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 0 - 6 - 7 + 28*c as h*c + j and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*(2 - -1). Solve x = -1 + f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20457, 22375, 24293, 26211, 28129, 30047?\n\"Answer: 1918*y + 18539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/9 - 64*u**4\/9 + 170*u**3\/3 + 228*u**2 = 0.\nAnswer: -38, -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -486.694283 + 486.7. Round y to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*x + 33341 - 69036 = 79105 for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/184 and 137\/21852.\nAnswer: 1005192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 11 = -74. Solve -5*r - 39 = -3*t - 11, -4*r - y = 3*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 113. Let g = 86.1 - m. Put -0.06, g, 0.3, 3\/2 in ascending order.\nAnswer: -0.06, g, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g - 3. Suppose 0 = 4*y + y + 10. What is the units digit of b(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-18198)\/6649077) - 1. Let w = l - -1670\/337. Let n = -1087 - w. What is the common denominator of 97\/2 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 10. Let z be q(-7). Let r = 5 - z. Solve -r = -4*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -18*j - 110 - 15 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 6*r**2 + 2*r + 5. Suppose -96*s = -92*s - 24. Give i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + ((-250)\/(-200))\/((-1)\/(-12)). Solve n = 2*h + 2*h + p, 4*n - 14 = h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*z + 0*z = 3, 5 = 4*t - 5*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -22258 + 0*f**2 + 0*f**2 + 22259 - f**3. Let i(h) = 7*h**3 - 4. Give -4*d(g) - i(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18028996 greater than -54086984\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 44*o. Let h(x) = -132*x - 1310. Give h(k(p)).\nAnswer: -5808*p - 1310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806943403.\nAnswer: 7, 17, 6781037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3\/5, 4, -2, -6 in descending order.\nAnswer: 4, 3\/5, -1\/7, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 51 = 5*q, -3*s + 4*q = q + 72. Let x = s + 24. Suppose 5*b - 5*g - 260 = 0, -x*g = 4*b - 6*b + 119. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3118127 + -893727. What is b rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 39\/8 (c) -1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81) - 2*sqrt(81))\/(-3*sqrt(243)))**2 - (sqrt(147) + 0 + sqrt(12)\/(sqrt(16) + sqrt(4)) + -5 + 3).\nAnswer: -22*sqrt(3)\/3 + 55\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 238*i**3 - 5*i**2 + 92. Let k(o) = 3*o**2 - 159*o**3 + 5007*o - 5007*o - 61. Let t(j) = -8*k(j) - 5*z(j). Find the third derivative of t(f) wrt f.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5346*p**2 + 5349*p - 4. Determine c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5 - 18718*w**4 + 168596*w**3 - 262304*w**2 = 0. What is w?\nAnswer: -9368, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-15 - (-36 + 14) - (0 + 12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3921 (b) -0.08 (c) -1\/2 (d) 3 (e) -5 (f) -0.2 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66034451701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -99*s**3 - 632*s**2 - 2*s + 2. Let j(a) = -91*a**3 - 632*a**2 - 2*a + 2. Calculate -13*j(f) + 12*p(f).\nAnswer: -5*f**3 + 632*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13759174 is divided by 173?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1521*g**5 - 4836*g**4 - 93227*g**3 - 129602*g**2 + 253184*g - 84640 = 0. What is g?\nAnswer: -4, 23\/39, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 9*h**2 - 10*h + 11. Let q be x(9). Let m = 139 + q. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 + 314*v\/9 + 1340.\nAnswer: 2*(v + 67)*(v + 90)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -571*v - 26. Let p(m) = 143*m + 6. Give -2*c(k) - 9*p(k).\nAnswer: -145*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**4\/12 + d**3\/6 + 2*d**2. Let x = 7 + -7. Suppose -4*g - 21 = -5*v, -g + 4*v - 19 + x = 0. What is t(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 11*x = 3*s + 9, 25 = 5*s + 5*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0 + 0*b**4 + 1\/5*b**5 + 0*b + 0*b**3 + 38*b**2 - 4\/15*b**6. Find the third derivative of a(o) wrt o.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 2. Let y be 2\/(-8)*-1 - 46\/(-8). Let s be y\/12*7\/(7\/10). Let q(k) = -9*k + 4. Let f(t) = s*j(t) - 2*q(t). Determine f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/5)\/9*4\/2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 183023 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -232 - -244. Let y(a) = -a. Let s(l) = l**2 - 11*l + 3. Let v(t) = s(t) - 3*y(t). Let q be v(8). Solve 2*r + n = i - q*i, -2*i - 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -466 + 467. Let c be ((-861)\/(-164))\/(p + 3\/(-4)). Solve -5*y + c = -3*z, 4*y = 3*z - z + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 7168.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*k**2*w**2 - 5534*a*k**2*w - 528*a*w - 3*k*w**2 - 7*k*w wrt k?\nAnswer: -4*a*w**2 - 11068*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 90*a**2 + 22*a + 123. Suppose 19*j = -264 - 2. Is t(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -19*m + 23*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3000 divided by -125.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -313, -1036, -2443, -4762?\n\"Answer: -38*c**3 - c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*k + t + 1395 = 0, 16*t - 12 = -5*k + 13*t - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*p - 955, p - 3*r = -3*p + 759. Suppose 2*s = -s + p. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d4 (base 14) to base 6.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4474643?\nAnswer: 4474643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12467 = -47*b + 40*b. Suppose b = 2*g + 389. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4140, 8267, 12392, 16515, 20636, 24755, 28872?\nAnswer: 32987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 24, 18, 1 in decreasing order.\nAnswer: 24, 18, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f = 116*f - 486 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - k - 26 = -2*a, 3*a = -4*k + 34. Suppose -60 = 2*n - a*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*l - 20978 = 0, -41956 = -2*h + 139*l - 141*l. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1509, 6028, 13557, 24096, 37645, 54204, 73773?\nAnswer: 96352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -624 + 1238 - 613. Let j(i) = -i - 1. Calculate 2*j(p) + 3*w(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*d = -6*b - 7, -55 = 5*b + 3*d. Let p(i) = i**2 + 6*i - 10. What is the smallest common multiple of p(b) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 17 = 4*y - 9, 5*y = 10. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 632334330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 219 = 156 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1671.283719 microseconds to weeks.\nAnswer: 0.0000000027633659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2. Let l(x) be the first derivative of 4\/3*x**3 + 3 + 0*x + 0*x**2. Calculate z(l(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 9*a**2 - 10*a**2 - 14*a**2.\nAnswer: -15*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5113, -18758, -41501, -73342?\nAnswer: -114281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -12 + 33. Does 3 divide (2 + y)*(-4 + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-171) - (-36)\/162. Sort -0.4, x, -6\/31 in decreasing order.\nAnswer: x, -6\/31, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.811 + 0.111. Sort g, -6, 0.1, -0.1.\nAnswer: -6, g, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b - 0. Suppose -2*o - 11*o = 91. Calculate the least common multiple of b and 4\/(-14) + (o - 856\/(-56)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 666372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56710 + -397896\/7. Let q = -132 - i. Let k = 1 + 1. Which is the nearest to q? (a) k (b) 0.2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -1 - (-648)\/(-153). Let t = 2\/17 + y. What is the second biggest value in t, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 102. Suppose -5*z - r + 43 = 0, w*z = 3*z - 3*r + 39. Solve -c = 2*g - z, 5*g + 2 - 22 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98352297.000163 - -98351971. Let j = 326 + f. Round j to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-1)\/(-4) - 0). Let j = 2.03 - 2.13. Which is the closest to j? (a) g (b) -2\/23 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -23 - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l - 50 + 50)*(1 - 5 + 0).\nAnswer: 72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 10 = 4*m, -42*m + 10 = -37*m + 5*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3*r - 15, 1271 = 3*d - 2*r + 1251 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j - 1. Let n be -2 - 0 - 1 - -1. List the prime factors of m(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166.9 not equal to -2\/279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204103?\nAnswer: 53, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146100*m**5 + 3*m**2 - 843688*m wrt m?\nAnswer: 2922000*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 8*t - 1. Suppose 2*d = -d + 21. What are the prime factors of s(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**3\/6 - t**2 - 6*t + 43. Determine j, given that h(j) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3944 = -69*g - 12*g - 38*g for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hynt when four letters picked without replacement from yhnhnuhhuuniyyuhnhnt.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1053 divided by -6\nAnswer: -351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 307583718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 + 6120*x**2 - 1862515*x + 1856400 = 0. What is x?\nAnswer: 1, 560, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, -4 in ascending order.\nAnswer: -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and -696594.\nAnswer: 45975204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -31*b**3 + 3. Let y(l) = 92*l**3 - 10. Let i(c) = -11*o(c) - 4*y(c). What is the first derivative of i(z) wrt z?\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 133. Let f be x\/18*(-6)\/(-4). Solve -3*g = f + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2976 - 2976.04. What is the nearest to 50 in -4, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.6 - -40. Let b = 0.6 + i. Let s = 2 + b. Is -1\/2 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -6.18934066.\nAnswer: -5.08934066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by 463942.\nAnswer: 51\/231971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 110*f**3 + 9*f.\nAnswer: 110*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -110\/29 (c) 0.111 (d) -3 (e) -2\/3 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153800 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3117, 3044, 2981, 2934, 2909?\nAnswer: 2912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3215*z**5 + 185*z**2 + 33921473*z.\nAnswer: 64300*z**3 + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 714 and 7242?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3139081 divided by 2\nAnswer: -3139081\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111169832 to the power of 1\/2, to the nearest integer?\nAnswer: 10544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 0*h**2 + 0 + 12*h + 7\/6*h**3. Let x(l) = 6*l**2. Calculate x(n(k)).\nAnswer: 294*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2053 - 13858 = -5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2 (c) -0.1 (d) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-84)*(-48 - (9 - 55)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -39*l - 3. Let u be w(0). Let q(o) = 2*o**2 + 2*o - 3. Let p(z) = z**3 - 2*z**2 - 3*z + 4. What is u*q(k) - 2*p(k)?\nAnswer: -2*k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 5*r**3 + 20*r**2 + 20*r.\nAnswer: -5*r*(r - 2)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(2\/2))\/(-38 + 8109\/212)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7302923 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 5. Let u be p(5). Let b be 0\/(u - (3 + -2)). Is (1 - (0 - b)) + 2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, f: 1, q: 1, s: 1}. What is prob of sequence sf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3 = 2*d + 2, 3*d - 2*q = -16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 981613 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: Collect the terms in -8*y - 5*y + 341*y**2 + 13*y.\nAnswer: 341*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 - 0) + (-35 - -42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5, -4, 985, -14.\nAnswer: -14, -5, -4, 2, 3, 985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 828.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:13 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -6908, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 0*v**4 + 2 + 0*v**3 + 0*v**2 + 13\/5*v**5 - 13*v. Find the first derivative of x(h) wrt h.\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 653193.2 weeks?\nAnswer: 4572352.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:14 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*o - 152*o + 145 = 0. Is o at least as big as 297\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37\/119 - (-2)\/28*-6. Which is the closest to -2? (a) 4 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -56, -54, -54?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007877956 to six decimal places.\nAnswer: 0.000788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/9 + 2194016*y\/9 + 21940360\/9 = 0. What is y?\nAnswer: -10, 1097018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k**2 - 5*k + 9. Let m(n) = 52 - 161 + 0*n - 2*n - 12*n. Let p be m(-8). Let g(b) = 6*b**2 - 2*b + 4. Give p*j(f) - 7*g(f).\nAnswer: -3*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 7853.\nAnswer: 612534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 25. Let l be i(-7). Let o be ((-9)\/6)\/(l\/(-2)). Let j = -7\/5 - o. Do j and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -14 (b) 1 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39761 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80933 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 4*i**2 - 7*i - 2. Calculate the remainder when w(6) is divided by 0 + (2 - 6\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, s: 2, w: 1, n: 1, g: 7}. Give prob of picking 2 g.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1123*t + 236. What is the thousands digit of x(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -5381?\nAnswer: -5380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = -i - 15*i + 2279. What is the greatest common divisor of 98 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let s(w) = 5*w - 1. Determine -11*r(h) + 2*s(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (140\/98)\/(18\/(-63))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1 + 2, 3*x = -2*u. Solve 0 = 4*w + x + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -17. Let k(c) = c. Let p be k(f). Let v be p + 4 + -4 + 4. Solve -5*l - 7 = 5*o - 37, -l + v = -4*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 2.4 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -1356?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 29, 18, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-6\/19))\/(v**(-1\/14)\/v)*(v**(-2\/9))**(-12) assuming v is positive.\nAnswer: v**(3529\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfb when three letters picked without replacement from ffxuxqqbqq?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940.2042 microseconds to milliseconds.\nAnswer: 0.9402042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*g - 17, 812*z - 813*z = g - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.42 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*o - 146*o - 5*v - 74, o = -5*v - 38. Let m = 0.4 - 0.5. Which is the third smallest value? (a) o (b) 2\/11 (c) -3\/8 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2. Suppose 3*m + 3*h + 6 = 0, -41 + 31 = 5*h. Let j(g) be the second derivative of 13*g + 0*g**2 + m - 1\/2*g**3. Give r(j(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.84 (b) -30 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 13*i - i + 15, 4*h - i + 17 - 35 = -72 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 36553008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n - 5*h, 2*h - h = 5*n + 12. Is 1\/(n\/(-6)) + (56 - -1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/28*(-6)\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 0*m)*(19 - 216 + 46 - 75).\nAnswer: 678*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -885, -1357, -1811, -2241, -2641?\nAnswer: -3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -947352, -947462, -947572, -947682, -947792?\n\"Answer: -110*o - 947242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14638 is divided by 53.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 = -2*t - 3, 5*j = -5. Factor -2*y**2 - 458*y + 5*y**t + 431*y + 42.\nAnswer: 3*(y - 7)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18363950 to the nearest 10000.\nAnswer: 18360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from xcbbbcbcbxbbax.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26896228?\nAnswer: 2, 53, 293, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 461520.\nAnswer: 22614480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/21 (b) 1\/19 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 620738, 1241476, 1862214, 2482952, 3103690?\n\"Answer: 620738*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p + 2*s - 4 = 0, 4*p - 24 = 3*s. Suppose -4*f = -p*b - 4, -28 - 8 = -5*b - 4*f. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j**2 + 136*j - 136*j + (3*j - 6*j + j)*(3*j + 2*j - 3*j) as q + l*j**2 + v*j and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*w + 60, 4 = w + z - 31. Suppose 6*v - w = -10. What is the remainder when 1185\/25 + (-1)\/(v\/2) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289860 by 15.\nAnswer: -19324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 652*7744\nAnswer: 5049088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 466 - 10 = 0. List the prime factors of (-1 + -33)*j\/4.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*23.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(104) + sqrt(104)*2)\/sqrt(8).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.267 + 5.267. Which is the biggest value? (a) 1\/47 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1641 and 15?\nAnswer: 8205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59577937099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/7 - 9339*t**4\/7 + 8299461*t**3\/7 - 1606865193*t**2\/7 + 91004037408*t\/7 - 258773655204\/7 = 0. Calculate t.\nAnswer: 3, 118, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 318, 320, 322?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 76. Let a(x) = -2*x**2 + 2*x + 13. Let z be a(g). What is the common denominator of z + 9 + (-1)\/21 and -10\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:58 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506313201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10612\/9, -0.2, 7, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106680?\nAnswer: 2, 5, 73, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 8. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856860073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.388343627 to three decimal places.\nAnswer: -0.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i**2 + 3*i**2 + 0*i**2 + (i - 2*i**2 - i)*(0 + 3 - 4) - 3*i**2 + 6*i**2 + 0*i**2 + 3*i - 3*i + i**2)*(-i + 0*i - i).\nAnswer: -16*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -92. Let z = o - 36.95. Suppose -5*x = 628 - 638. What is the third biggest value in 1, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 60*j + 52*j)*(1 - 2*j - 1) + j**2 + 0 + 0.\nAnswer: -211*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 1517267200.99?\nAnswer: 1517267201.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 46398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -3 + 4 - (4 + -2*sqrt(11)).\nAnswer: -3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(8\/(-100)*5*10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = -63. Suppose -6 = 5*r - p. Solve -20 = -r*l - 4*y, -3*y = 1 - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y**2 + y. Let d be (-23 - -27)*1\/4. Give t(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -382909 - -70926\nAnswer: -311983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**4 - 20456*d**3 - 3*d**2 - 134190155*d?\nAnswer: 84*d**2 - 122736*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 23 = 3*c, -1 = -3*c - 4*z + 6. Let h(r) = 3*r**2 - r - 2. Let q(u) = -4*u**2 + u + 2. Let s(d) = c*q(d) + 6*h(d). Let b = 3 + -5. Determine s(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -6, -4, 1 in increasing order.\nAnswer: -8, -6, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 11244?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3418, 7150, 10880, 14608, 18334?\nAnswer: 22058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32554, 64975, 97396?\n\"Answer: 32421*f + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 17 = -q + 53. Is 20 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 9*b - 16. Let j be c(-5). Which is greater: j or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 19 = -k, 3*n + 2*k = -k - 3. Suppose -3*o - n = 3. Let q be (-3)\/2*(o - 2). Calculate the highest common factor of q and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255338 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 10 - 32. Let h(c) = 2*c**3 + 22*c**2 - 2*c - 19. Let w be h(o). Solve -5*i - 11 = 3*a, w*i - 3*a + 0*a + 21 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6 and -139\/5436.\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 4.5.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 17022?\nAnswer: 17022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 5*v**6\/6 + 3*v**4\/4 - 23*v. Find the third derivative of s(a) wrt a.\nAnswer: 600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205697.\nAnswer: 29, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1879*h**3*k**2 + 11623*h**3 - 10*h**2*k - 2*h**2 - 100*h*k**2 wrt k.\nAnswer: 3758*h**3 - 200*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-3)\/(-9) - 55\/3. What are the prime factors of (-9 + (-63)\/l)*-54?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/17 (b) 0 (c) -3\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -p + 60. What is the greatest common factor of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -107, -154, -201?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkkkfh. Give prob of picking 1 f and 1 k.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6057154450.\nAnswer: 2, 5, 8527, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/13 - 1674\/117?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/206964 and 3\/252956.\nAnswer: 2276604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, 16, 147, 404, 829, 1464, 2351, 3532?\nAnswer: 5049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (369\/861)\/((-18)\/882)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2235*q**4\/4 - 301*q - 2888. Differentiate l(m) wrt m.\nAnswer: -6705*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1 + 1 + f - 1. Let m(r) = -2*r + 3. Suppose 0 = 3*u - u - 4. Let k be (3 - u)\/1 + 2. Determine k*m(w) + 8*l(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let h(t) be the first derivative of t**4\/24 - t**2\/2 + 1. Let w(p) be the second derivative of h(p). What is w(x(o))?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 144 = 5*m - 208 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(5\/6)*g\/g**(-5))**(-33\/4))**(-22) assuming g is positive.\nAnswer: g**(4961\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 7*k**2 - 12*k + 7. Give i(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + h + 551 - 101, i - 160 = -3*h. Let k = 511 - i. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -57, -63, -83, -123?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 47\/4 of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -23 - (-2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 222b22 (base 12) in base 15?\nAnswer: ab3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -17.622\nAnswer: -88.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -140af8 (base 16) to base 7\nAnswer: -14110346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2 - (-7)\/(-7) - (3 + 2). Put 3, 380, u in decreasing order.\nAnswer: 380, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3798218006 to the power of 1\/2, to the nearest integer?\nAnswer: 61630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -115?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1533 + 453*m + 79*m + 1533 to the form l*m + b and give l.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62.5 + -63. Let t = -1 + -1. Sort t, k, -4, -11 in increasing order.\nAnswer: -11, -4, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 y, and 1 x when four letters picked without replacement from {j: 1, h: 1, o: 6, y: 3, x: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770 and 103642.\nAnswer: 518210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**7\/630 - 7*p**6\/135 + 49*p**5\/90 + 19*p**3\/3 - 25*p**2. Let r(j) be the first derivative of z(j). Factor r(n).\nAnswer: 4*n*(n - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0 - 2 - 4*k**2)*(1 - 5 + 5)*(-7 + 14 + 3)*(-1 + 3 + 0).\nAnswer: -140*k**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/27))**(-36\/5) assuming s is positive.\nAnswer: s**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 - 121. Let g = 171295.22 + -171288.21999936. Let a = g + q. Round a to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -35. Let t(h) be the first derivative of -h**2 + 5*h - 1. Calculate the remainder when w is divided by t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3045*y = 3049*y + 8, 3*f + 4*y = -14 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18600 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(-2*sqrt(612) + 3)*5 + 0 + 1))**2.\nAnswer: -729600*sqrt(17) + 24572416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by 2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -628 + 668. Let i = -4415\/7 + 639. What is the common denominator of a and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, m: 2, y: 9, h: 2}. Give prob of picking 1 n and 1 y.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = -5*s - 60, 5*v + 4*s - 100 = 0. Let l = -33 + v. Let z = l - -13. Solve z*r + r = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22040 and 14440.\nAnswer: 418760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4565\/6 + 761. Let x = 36.5 - 36.7. Which is the biggest value? (a) v (b) x (c) -50\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v + 2. Let q be v\/3 - (-52)\/(-12). Let s(i) = 0*i + 1 + 11 + i. Calculate s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/44 - 53\/(-11). Suppose 42 = 3*q + 5*l, 0 = -f*l + 13 + 2. Let y(o) = o**2 - 6*o - 10. List the prime factors of y(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2. Let d(b) = -356*b**2 + 181*b**2 + 178*b**2 + 48*b. Calculate d(t(n)).\nAnswer: 12*n**4 + 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 841 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1284\/11, -33, -6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*d + 73124, -91432 = 5*d + 43*z - 40*z. Round d to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44921 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 m when three letters picked without replacement from {z: 1, m: 5, e: 9, v: 1, q: 2}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285529191?\nAnswer: 3, 113, 317, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -222 + 322. Find the common denominator of 570\/g - 4\/(-10) and -71\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*k**5*y + k**3*y + k**2 + k + 5*y wrt k?\nAnswer: -5880*k**2*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 77. Suppose 3*t - 25 = -2*m + g, 2*m - 55 = -5*t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5198 and 3390.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.85257 * 4\nAnswer: -11.41028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -14. Suppose 4*w + 0*w + k*u = 146, 0 = -4*u + 20. What is the second derivative of 34 + 0*s + s - 5*s**2 - w wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 635*g**2 + 23375*g - 3. Calculate v(275).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*j*v**2 + 4*f**2*j - 69*f**2*v**3 + 20*f**2*v + f*j*v + 56*j*v**3 + v**2 wrt v?\nAnswer: -414*f**2 + 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 23 = 163. Let u be ((-1)\/(-18))\/(t\/21). What is the fourth smallest value in -2\/9, 1, u, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58783, -235198, -529237, -940900, -1470187, -2117098, -2881633?\nAnswer: -3763792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40013 (base 5) in base 2?\nAnswer: 100111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2038, -4058, -6058, -8038?\nAnswer: -9998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 534280186 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: Simplify (t\/t**(-2\/9)*t)**(-45)*(t*t\/(t*((t\/t**0)\/t)\/t))**(-22\/3)*((t*t**(9\/4)*t)\/(t*t**(-2\/35)))**(7\/5) assuming t is positive.\nAnswer: t**(-33011\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 0*t**2 + 3*t**2)*(3 - 3 + 4*t) + t + 2*t**3 - 4*t**2 + t**2 + 4*t**2.\nAnswer: -6*t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2068e (base 16) to base 5\nAnswer: -13222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g - 275 - 13 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 407063747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 262 + 62 = 0. What is the greatest common factor of m and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(-1\/15)\/(p**(-1)\/p**(-9)))\/((p**(-9)\/p**(2\/3))\/(p**(1\/2))**(-47)) assuming p is positive.\nAnswer: p**(-217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(847)) + -1 - (((sqrt(847) + 1*sqrt(847) + sqrt(847))*-5)**2 + -5)) + 0.\nAnswer: -190571 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 3, s: 4}. What is prob of sequence jjxs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from ggwhgwggwghggghhgzgg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4850439 > -4850440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 less than -1\/683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a - 3*a)*(-a**3 + a**3 + a**3) + (124 - 124 - 10*a)*(a + 4 - 4)*(-2*a**2 - 2*a**2 + 2*a**2) - 3*a**4 - 4*a**4 + 2*a**4.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - v + 2*v = 0, -2*c + 18 = 4*v. Let g be ((-246)\/36 - -7) + (-17)\/(-6). Solve 4*i - c*i = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95735483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845309?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -37511 less than or equal to -37517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b**3 - 1011*b**2 + 23777*b - 10005 = 0 for b.\nAnswer: 3\/7, 29, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 32 = 2*b + 2*o, 0 = -2*b + 4*o - 18. Solve -3*d - 6 = -2*v - 2, 2*v + b*d = 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(9)\/sqrt(3))**2 + sqrt(18)\/(sqrt(24)\/sqrt(4)) + (-1 + sqrt(147) - sqrt(147) - sqrt(147)) + -1.\nAnswer: -6*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r - 1. Let y be a(-4). Let i = y + -68. Calculate the highest common factor of 56 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5*4*1*(sqrt(1377)*-3 + sqrt(1377) + sqrt(1377))*-2)**2 + -1).\nAnswer: 11015995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**37\/((q*q**23)\/q)*q\/(q\/(q\/(q*(q*q\/q**(-5\/3)*q)\/q)*q))*q*q**(13\/4)*q assuming q is positive.\nAnswer: q**(199\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = a + 10, -2*a = -3*z + 29 - 18. Suppose u - 6 = -1. Sort -4, z, 1, u in ascending order.\nAnswer: -4, z, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:46 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 2*v + 6. Let i be g(3). Suppose -35*c - 4 = -i*c. Sort c, -6, 5, -1 in ascending order.\nAnswer: -6, -1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 1767149389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39658 and 316?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -43 + 43 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 794327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -1\/12*q**4 + 0*q - 1\/105*q**7 - 1\/3*q**3 - 1\/168*q**8 + 1\/30*q**6 + 10*q**2 + 0 + 1\/15*q**5. Let c(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1. Let r(l) = l. Let j(g) = 2*g + 1. Suppose 3*s - 31 = 2. Suppose 0 = -4*d + s - 3. Let w(q) = d*j(q) - 5*r(q). What is -4*b(i) + 2*w(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 1763?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/4 - 9*i. Let d(l) = -2*l. Calculate g(d(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:29 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 21674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-594)\/14 - (-2 - 5). Which is smaller: -35 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100 - -2202220100?\nAnswer: 2202201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 139 in 2, 6, -265, 0.06?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + -2) - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4689*q + 3891*q - 20478 - 18470 = 4144 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 4*r**2 - r + r**2 - 12027*r**3 + 4*r**2.\nAnswer: -12027*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 271*f**2\/7 - 436*f\/7 - 44\/7.\nAnswer: -(f - 11)*(f - 2)*(21*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p + 205*p**3 + 647*p + 383*p**3.\nAnswer: 588*p**3 + 607*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2241 and 1411?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/16)*l)\/l)**(-2\/9)\/((l\/(l\/(l**(-2)\/l*l)))\/l**16) assuming l is positive.\nAnswer: l**(1279\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 152*s**2 - 2*s + 495. Let f(r) = -70*r**2 + r - 248. Determine -13*f(a) - 6*u(a).\nAnswer: -2*a**2 - a + 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 6*n**2 + 7*n + 9. Let o be r(7). Let f be (9\/2)\/(22\/(-44)). Let w = f + 12. Calculate the highest common divisor of o and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/((-5925)\/200))\/(-2*1\/12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 12*g**2 - 8*g - 15. Let u be n(-12). Let a = u - 46. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 418*s**7\/7 - 3*s**5\/5 - 66*s**3 - s**2\/2 - 650. What is the third derivative of o(g) wrt g?\nAnswer: 50160*g**3 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 5482606567\nAnswer: 5482606566.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6233469 by 10.\nAnswer: -6233469\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2864 - 2864 + 260*j**4 + (3*j - 4*j - j)*(20*j**3 + 0*j**3 + j**3).\nAnswer: 218*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 89 = 4*q + 158, 4*z = -q + 185. Solve -w - 46 = -z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 18*i - 1. Suppose 2*w + 3 = l, -2*w - 5 = 2*l - 29. Is r(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-630) + ((-103610)\/182)\/(-5)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.052606 or 1950?\nAnswer: 1950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9576, 18786, 27996, 37206, 46416, 55626?\nAnswer: 64836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b5b8 + 5?\nAnswer: b601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7708 - -2603?\nAnswer: 11412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 120 - (71 + -140 + 150)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -203, -484, -945, -1592, -2431, -3468?\n\"Answer: -i**3 - 84*i**2 - 22*i - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1 + 5 = 0. Suppose y = -5*x + 63, -4*x = 2 - 14. Suppose 3*q = 2*w - y + 11, w - s*q - 20 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14318 + -19866. Is -5548 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6388850207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41960.76 decades?\nAnswer: 4196.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-10)\/t**(-36))**(3\/13))**(-30\/13) assuming t is positive.\nAnswer: t**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + -15.2. Round j to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 277116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20012?\nAnswer: -20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -1212?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -h - 6*k + 3*k, -2*h - 5*k - 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*k**2*n**3 - 58*k*n**2 + n**3 wrt k.\nAnswer: 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 16*a + 19. Calculate n(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55646.\nAnswer: 2, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*l + 6607 + 14599 + 3803 = -814 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -398 times 1\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44633.82 hours to weeks.\nAnswer: 265.6775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*d + 173*d + 86636 + 24965 = 402*d for d.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) 2\/9 (d) -0.3 (e) -1\/103 (f) -4 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*v + 128*v - 21114. Is v a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a + 6 = 0. Let p(c) = c**2 + 6*c. Let x be p(-3). Calculate the remainder when 34 is divided by ((-6)\/x)\/(a\/(-36)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5274*f**2 - 7855*f + 7855*f.\nAnswer: 5274*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1956?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 282.517\nAnswer: 1977.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 365161362?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 - h**4 - 35)*((2 - 2 + 1)*(-4 + 3 + 0) + (-1 + 0 + 4)*(2 - 1 + 1)*(-2 - 2 + 2)) to the form s*h**4 + d*h + x*h**3 + z*h**2 + m and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/60 + (-17860)\/(-75). Suppose m + 2*k - q = 0, -10*k = 3*m - 13*k - 750. List the prime factors of m.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206828\/105 + 13649\/7. Let l = 67\/3 + o. Factor -l - 21\/5*m**3 - 69\/5*m**2 - 12*m.\nAnswer: -3*(m + 1)*(m + 2)*(7*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 27 - 20 = 2*y, 0 = -4*x - 2*y - 28. Let q(l) = -7 + 0 + 2*l + 3 - 2. Let z be q(4). Sort 25, z, x in descending order.\nAnswer: 25, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 - 3*o + 5. Let n be b(0). Suppose -j = 3*j + 4*x - 4, 0 = 5*j - n*x + 5. Suppose y + 798000 = -j*y. Round y to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.3, -1\/2, -36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 2*t**2 - 36*t + 5*t**4 + 1 + 10*t - t**3 + 4*t**4 + 24*t in the form s*t + x*t**4 + n*t**2 + r*t**3 + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031793 rounded to four dps?\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6581 - -6580.5813. What is t rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3761*8\nAnswer: -30088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56999204?\nAnswer: 2, 31, 459671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 44\/(-16))*52\/(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28911626.000037 + -28911567. Let b = k - 59. Round b to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) -59 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 399753 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -32*b**2 + 5*b**2 + 9 - 17*b + 10*b**2 + 4*b. Let r(o) = -4*o**2 - 3*o + 2. Suppose -4*h - 8 = 16. What is h*z(f) + 26*r(f)?\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4697, -18113, -40253, -71117, -110705?\nAnswer: -159017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10412813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((6*sqrt(432))**2 - (sqrt(192) + sqrt(48))*-2) + -1 + -4.\nAnswer: 24*sqrt(3) + 15545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1921\/102 + -18)\/(10\/4). Which is the closest to f? (a) -3.1 (b) -3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408556754.\nAnswer: 2, 53, 67, 57527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32694.74mg in grams?\nAnswer: 32.69474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 z when four letters picked without replacement from {z: 2, g: 11, i: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 19. Let s = a + -4. Let o(p) = p**2 - p + 1. Let j(h) = 2*h**3 + 2*h**2 - 2*h + 2. Calculate s*o(t) - j(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 4 + 2*l**5 + 0 + (l - l + 2*l**2)*(l**3 - 3*l**3 + 0*l**3).\nAnswer: -2*l**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(2\/7)*j))**(2\/75)*(((j\/(j\/j**(2\/7)*j))\/j)\/j)**(2\/107) assuming j is positive.\nAnswer: j**(-112\/1605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/30)\/(6\/36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 13*b + 2. Solve -t + 15 = 3*c, -25 + 2 = -b*c - 5*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 6859471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147614676 divided by 121.\nAnswer: 1219956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*q + 16 = -u, 0 = -4*q - 8. Let a(i) = -i**2 - 1. Let h = -5 - -6. Let g(k) = 4*k**2 - k + 7. Let z(n) = h*g(n) + 6*a(n). What is z(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225877?\nAnswer: 107, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 619365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97298*o - 97331*o = -402 + 105 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36.209 and -6?\nAnswer: 30.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 + v**4\/24 + 3*v**2. What are the prime factors of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 + 2*f - 3. Let v be i(2). Let j be (-6)\/4*14\/v. Let w = 0 - j. Is 2\/21 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31403.\nAnswer: 31, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - a - 1. Let m(n) = -16*n**2 + 1 - 7*n**3 - 6 - 2*n + 2*n**3 - 3*n. Let q(p) = 5*k(p) - m(p). What is the third derivative of q(d) wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, h: 3, r: 2, o: 3, s: 2, p: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 9 - -7) + 1 + (26 - 11) + -45.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 6*h = -85633. List the prime factors of h.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -1*sqrt(1539))**2 + sqrt(190)\/(sqrt(10) - -2*sqrt(10)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2463*b - 2460*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by -15\nAnswer: -166\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 458.\nAnswer: 457.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210021 + 212202212?\nAnswer: 220120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + (-2 - 1) - (-852 + 856)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 - 136 + 240 - 332*j to the form r*j + l and give r.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -5a?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220223099 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 33*c = 5*h + 25, 5*h = 3*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6846 divided by 1141?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 2*a - 3. Let b(n) = 2*n**2 - 5*n + n**3 + 0*n**2 - 4 + 6*n**2 - 4 + 12*n. Give 3*b(t) - 8*h(t).\nAnswer: 3*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g + 57*g - 7 = 1133 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -13*f + 10. Suppose 7 + 28 = f*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.025, 49792\/9 in descending order.\nAnswer: 49792\/9, 0.025, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 684792.27us in hours?\nAnswer: 0.000190220075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**3 - 3*w**2 - 4*w - 3. Let v(s) = 15*s**3 - 5*s**2 - 7*s - 5. Suppose -137*l = -100*l - 148. Determine l*v(r) - 7*x(r).\nAnswer: 4*r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, -0.28, 1\/2, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/58 and (-16)\/(-75)*(24\/3 - 1001\/130).\nAnswer: 7250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpqh when four letters picked without replacement from gfphpiifhghpqp.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/3)*l\/(l\/(l\/((l*l*l*l**(2\/5)*l)\/l))))**(10\/7))**40 assuming l is positive.\nAnswer: l**(-2480\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.32 (c) -5 (d) 2\/5 (e) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 2*n - 7 + 0*n + 3*n. Let o(u) = 108*u + 109*u - 329*u + 109*u. Determine o(r(g)).\nAnswer: -6*g + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/258842142 and -70\/9.\nAnswer: 258842142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 75602*h. Let b(x) = 32*x. Calculate b(n(r)).\nAnswer: 2419264*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-14)*(-7 - -4 - -1). Are -1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83391.\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 524 - 521. Solve -12 = -5*y + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -92. Let m(p) = 9*p - 4. Let y(d) = 37*d - 17. Let u(j) = -9*m(j) + 2*y(j). Let g(v) = -3*v + 1. What is l*u(s) + 10*g(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 10*d**2 - d - 3. Let u be j(-5). Let n(h) = 10*h**2 - 4*h**2 - 7*h**u - 9*h - 12. Let k be n(-7). Sort -4, -1, -6, k in increasing order.\nAnswer: -6, -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 6*z**3 - 9*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -0.11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 7974*m - 5298723.\nAnswer: -3*(m + 1329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(700)*-1 + 4 - sqrt(700)) - (sqrt(700) + 2 + sqrt(700) + sqrt(700)*3 - sqrt(700))*-1)**2.\nAnswer: -240*sqrt(7) + 25204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**3 - 2*i**2 + 10*i. Let p(d) = 3*d**3 + d**2 - 5*d. Determine -6*m(f) - 13*p(f).\nAnswer: 3*f**3 - f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.6*3774.\nAnswer: -58874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7296*y - 6540 = 7290*y. Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.49392 millimeters to micrometers.\nAnswer: 41493.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1189*i + 4. Let f(z) = 8*z - 6. Determine -a(m) - f(m).\nAnswer: 1181*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 2*z + 164. Let l(j) = 13*j**2 - 9*j + 656. Let n(i) = -2*l(i) + 9*r(i). Is n(0) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 + -159. Suppose d = w*d - 8262. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186405716 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 1, a: 5}. Give prob of picking 2 a and 2 z.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71767361 times 3?\nAnswer: 215302083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 46 + 31 = 0. Solve s*b - 23 = h - 4, 0 = 5*b + h - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 10 - 54. Suppose 0*i + b + h = 4*i, -i + 12 = 3*b. Suppose -i*c = -11*c + 635. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/192*(-56)\/(-6))\/(-2 - -4). Let r(m) be the second derivative of k*m**3 - 27*m - 3\/2*m**2 + 0. Differentiate r(t) with respect to t.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*v = 11 - 2, 3*v = -5*k + 37. Solve 2*l + 5 = -k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04 * 14.\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 + 6)*(-3*m + 4*m - 3*m) - m + m + m + (m - m - m)*(1 - 3 + 0) + 1 - 1 - 2*m + 3*m - 7*m - 5*m as o*m + j and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 44. Suppose -3*i + 62 = -5*i. Let l = i - d. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (408\/20)\/((-10)\/(-275)). Let c = 575 - n. Which is greater: c or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-20)*(306\/132)\/17\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {g: 5, l: 1, f: 1, h: 4, m: 5}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63504 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0.01, 4 in descending order.\nAnswer: 4, 5\/3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17634889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddtmddqqjmm. What is prob of picking 4 d?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -946*q**3 - 6 - 1 - 5 - 1.\nAnswer: -946*q**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/(11\/297). Let n be (15\/4)\/((-1)\/8). Let u be (170\/n)\/((-2)\/6). Which is greater: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*(u**1*u)\/u)\/(u**(2\/3)\/(u\/((((u*u**(-1\/3))\/u)\/u)\/u)*u)) assuming u is positive.\nAnswer: u**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + (6 - (-22 - -21) - (-5 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/6 + h - 67. Let d(m) = -5*m**3 - 10*m**2 + 4*m**3 - m**2. Let n(x) = -4*d(x) - 22*l(x). Factor n(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*f - 22*f + f**3 + 0*f**2 + f**2 + 84*f to the form q*f**3 + m + u*f**2 + w*f and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Let a = 3.9 - 1.9. Sort a, h, -6 in ascending order.\nAnswer: -6, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (-23 - -6 - (46 + -41))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000095409 rounded to seven decimal places?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - 2) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*q + 74 = -44, 32 = -u - 2*q. Let y(f) = -f**3 - 26*f**2 + 33*f + 23. List the prime factors of y(u).\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*9\/(2 + -3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and -62.\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 6098650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 1256288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-26)\/(-24)). Let y = v - -46\/65. Factor -y*h + 0 - 2\/5*h**2.\nAnswer: -2*h*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.83 - 13.33. Which is the third smallest value? (a) -0.03 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x. Let s be ((-525)\/20)\/7*8\/6. Let r(h) = -h**3 + 5*h**2 + 5*h + 2. What is s*k(n) - r(n)?\nAnswer: n**3 - 10*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28230007 - 5*q**3 - 28230007 + 3*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) -0.4 (c) -2\/15 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 3*y**3 + 0*y**3)*(0 - 4 + 2) - 21*y**3 + 23*y**3 - 20*y**3.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 5*z = 3204. What are the prime factors of z?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.141 * 0.3.\nAnswer: 0.0423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5. Suppose -11 - w = -3*i. Suppose -i*l - l = r - 24, -l - 33 = -4*r. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 6. Let a(b) = 143*b - 273. Let t(w) = 2*a(w) + 91*x(w). Let d(f) = 5*f - 4. Let z(h) = h - 1. Let n(v) = d(v) - 4*z(v). Determine t(n(p)).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29 + 1*(0 - -3). Let r = 3 + 151. Suppose 0 = -2*t + r - s. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6 - 14 - 257*y.\nAnswer: -257*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.53 - -10.53. What is the second biggest value in z, 342, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + g)*(2*g - 2*g + g**2) + (3 + g - 3 - 5*g**2)*(-2*g - 87 + 36 + 49).\nAnswer: 8*g**3 + 8*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 507 (base 8) to base 14\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t + 3 = -3*j, 2*j + 28 = 3*t. Suppose -4*f - 7 = 9. Let u = f + t. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, 0.1, -1.4, -3, 2\/9?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 10 - 2*t - 4 - t. Let x be w(3). Suppose -4 = 2*y - 6, x = -u + 4*y + 16. Solve m + 4*m = -u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/5 + 42*u**2 + 2996*u\/5 - 184704\/5 = 0.\nAnswer: -32, 26, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 b when three letters picked without replacement from opphpsbshpopopooo.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-2)))**(-10\/3)*w**(-8)*w*w\/w**0*(w*w*w**5*w)\/(w\/(w*w**(2\/7))*w)*(w\/w**(-1))**(-12\/11) assuming w is positive.\nAnswer: w**(1333\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:48 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkkkkvvmkmk. Give prob of sequence vm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71.99 + 1.01. Let p = -70 + u. Sort -2.4, 2, p.\nAnswer: -2.4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*j + 8. Suppose 4*o = d + 27, -4*d + 41 = 2*o + d. Calculate the smallest common multiple of o and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-597 - 603 - 50*g + 1199)*(23*g**3 - 146 + 146) to d*g + m*g**4 + o*g**2 + s + f*g**3 and give m.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95.5072 - -1.\nAnswer: -94.5072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -4*g**7\/147 - g**6\/105 - g. What is z in b(z) = 0?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = r - 37. Does 28 divide (((-39)\/6)\/r)\/(6\/684)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 15*o + 130. Let t(p) = 5*p + 67. Determine -6*f(y) + 11*t(y).\nAnswer: -35*y - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, -0.33, 0.7, 3 in decreasing order.\nAnswer: 3, 0.7, -0.33, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 229305 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7474 + 662 = -52*a. Which is greater: 130 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7301 and 4016891.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - 104.1. Let q = k - 4.9. Let t = 34.99974 + q. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, -3\/5, 0, -15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15908.51 millennia?\nAnswer: 15908510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i - 4. Let m(p) = -4*p + 5. Let r be (44\/(-55))\/(4\/10). Let z(t) = r*o(t) - 3*m(t). Let a be z(5). Solve a + 9 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/71103 and -38\/2853.\nAnswer: 67618953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -33?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n*u**3 - 3132*n*u**2 + 52945*u**3 wrt n?\nAnswer: -u**3 - 3132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609350 is divided by 4719?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 1. Let v(z) = -6*z**2 - 5*z + 1. Let t(b) = v(b) + 5*x(b). Let c be t(-5). Let o be (2\/c)\/(3\/27). Are o and 3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x + 55*x - 232*x - 265*x.\nAnswer: -470*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -18*p. Suppose 0 = -5*i - 5, -q + 2*i = -3*i - 7. Let x(n) = -11 + 13 - 2 + q*n. Give x(o(f)).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*t*x**2 - 2*i*t*x - 37*i*x**2 - 11*i*x + 2*t*x**2 + 8*x wrt x.\nAnswer: -2*i*t - 74*i + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 10*g + 35 + 12, 15*g - 2*g = -3*s - 90 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15736.2 - 15736. Let f = 0.32 + -0.02. Which is the second biggest value? (a) u (b) 2 (c) f (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from jssslssslsjszza?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = u. Suppose g = -2*g + 30. Solve -k = l - 5, -k + g = 5*l - u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Suppose 5*m = 4*i - 22, 4*m = -i - 5 - 0. Let b(z) be the first derivative of 0*z**2 - 1 + 0*z - 2\/3*z**i. What is b(p(a))?\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(a - 2*a + 2*a) + 2*a - 6 + 2 - 5 in the form v*a + h and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:29 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-616)\/(-21))\/(140\/(-210))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(68)*-1*2)\/(-2*(sqrt(64) - (sqrt(64) - (sqrt(64) + (sqrt(64) - (sqrt(64) - sqrt(64)*-2))))*-3)).\nAnswer: -sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -61. What is the smallest common multiple of 15 and t?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - 22*v - 2*v**2 - 7*v + (3*v**2 - 3*v**2 - 2*v**2)*(2 - 3 + 0) + v + v**2 - v + 4*v**2 - 2*v**2 - 4*v**2.\nAnswer: -v**2 - 23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*p**2 - 88*p + 4*p**3 - 125*p**2 to the form r*p**3 + z*p + m*p**2 + y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.232575 rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75262.31 decades in months?\nAnswer: 9031477.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggnn when four letters picked without replacement from {u: 1, n: 1, g: 2, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 15*b - 21. Let u(t) be the third derivative of t**6\/120 + 7*t**5\/60 + t**4\/12 + 7*t**3\/6 + 21*t**2. Calculate u(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v = -75*v - 16. Suppose -5*b - 21 = -2*t, t + 2*b - v*b - 9 = 0. What is the second derivative of -20*y**3 + 13*y + 2*y**3 - 8*y**t - 51*y wrt y?\nAnswer: -156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5928*s**2 + 11720*s**2 - 1 - 5917*s**2 - 3 to the form j*s**2 + k*s + w and give j.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 44546 and 44542 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 6. Let u be h(4). Suppose -2*v + 6*v = 16, u*x = v. What is the lowest common multiple of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from tvvtgvvtgvgvggvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v = -30*v. Let u(j) be the second derivative of 1\/4*j**4 - 3*j - j**2 + v - 1\/6*j**3. Factor u(w).\nAnswer: (w - 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 - 255*o**2 + 57*o - 442. Let a be q(-64). Solve z - 430*f + 435*f + a = 0, -2 = z + f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245781005 to the power of 1\/2, to the nearest integer?\nAnswer: 15677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-23)\/(j\/j**4))\/((j\/(j\/(j*j*j*j**(-28)*j*j)))\/(((j*j**(25\/2))\/j)\/j)))**(-2\/15) assuming j is positive.\nAnswer: j**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144300 = 1263*d - 1260*d. Round d to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31022 - -43305?\nAnswer: 114331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -39. Suppose 5*v = 2*q - 31, 2*q - 13 = 6*q + 5*v. Let g be 462\/7 - (-4)\/6*q. What is the highest common divisor of d and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3 = -4*y + 5*w, -4*y = -4*w - 4. Let q = 8 - y. Let a be -126*(8\/q + -2). Calculate the highest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 2*o + 16 = -128. Solve -271*i = -275*i - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1278784 and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = 3*x. Let b be x*(-4 + 45\/(-6)). Solve 3*g - 10 = -5*f + 12, -b = -4*f + 3*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -21986?\nAnswer: -21984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 12*m**2 + 0 - 17\/24*m**4 - 1\/60*m**5 + 0*m**3 + 0*m. What is the lowest common multiple of 14 and j(-16)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -4\/152283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18258454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 27*z - 78. Let r be b(-23). Suppose 2*j + 25 = -3*c, 0 = 2*c - c - 5*j + r. Is ((-1574)\/3)\/(6\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(5\/8)\/m*m)\/m*m*m*((m\/(m\/m**(1\/8))*m)\/m)\/m)\/(m**(-2\/15))**(2\/39))**(3\/19) assuming m is positive.\nAnswer: m**(4111\/14820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 3. Let k be m(-4). Let b(u) = 5*u**3 - u**2 - u - 6. Let f be (4 - (3 + 4))*-1. Let s be b(f). What is the greatest common factor of s and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15773031? (a) -2\/5 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from wvwwwwwvvvwwwtw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 y when three letters picked without replacement from vttvvvvtyvtvvyvtt?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(3*((sqrt(98) + 4)*1)**2 + ((2 + sqrt(98) + 4)**2 - ((sqrt(98) - (1*sqrt(98))**2) + 1))).\nAnswer: -2863 - 1225*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1339 = 3*s - 3970. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20518541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q - 2493 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 4, h: 1, l: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1579, 2, -1.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**15)**(-26) assuming f is positive.\nAnswer: f**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525835.3l in millilitres?\nAnswer: 525835300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4 - 18*z + 134*z - 115*z. Calculate s(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11136411.7 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -2, 23\/4, -49.\nAnswer: -49, -2, -5\/4, 23\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a decade in months?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0936592 grams in kilograms?\nAnswer: 0.0000936592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 16\/9 + 0. Let o = 7 + -6. Which is the third smallest value? (a) z (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 357610 or 357618?\nAnswer: 357618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001339052521 to seven dps.\nAnswer: -0.0001339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*s*u**3 - s*u**2 - 2*s*u - 176005461*s + 3740*u**3 - 7*u**2 - u wrt u?\nAnswer: 216*s*u - 2*s + 22440*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*j + 29, 4*j = -0 - 20. Suppose -2*c + o*r = -4*c + 332, 0 = -2*r - 4. Does 42 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-68)\/11220*80?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8000912 to the nearest integer?\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 12, -3*y + 53 - 15 = p + y - 87 for p.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -840 * 32.12.\nAnswer: -26980.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149\/190 + -3\/190. Suppose 4 = 3*o + 10. Let b be (-3)\/6 + 3\/o. Are j and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 3*j**6\/5 + 3*j**5\/4 + 1001*j**3\/6 + 506*j. Find the second derivative of l(u) wrt u.\nAnswer: 216*u**2 + 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59\/6 + -5. Find the common denominator of f and 25\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 5*p**2 + p + 5. Let t(k) = 26*k - 2. Let n be t(3). Suppose y + 3*y = n. Let o be y\/(-4) - (-2)\/(-8). What is s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44043101 - -20?\nAnswer: -44043031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 divided by -5?\nAnswer: -134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:06 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 1 (c) 4\/7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iikk when four letters picked without replacement from iiiiiiiikiiiikkiki.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9)*1*3. Let q = -0.015 - -0.115. What is the nearest to q in 0.3, p, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -18. Let d = g + 0. Let q be (-3 - 1 - d)\/(-1). Calculate the greatest common factor of q and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309 - -312. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.445 minus 1.6?\nAnswer: -4.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 51. Which is smaller: o or -2\/121?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30557407 to the nearest integer?\nAnswer: 5528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 0*p**3 - 3\/2*p**4 + 11\/2*p**2 - 1 + 0*p. What is the second derivative of z(x) wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i + 2*i + 1 + 4*i. Suppose 5*l = -5 - 5, 0 = 5*o - 3*l - 11. What is the remainder when o is divided by b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r - 579 = 3*z, 143*r - 4*z - 36 = 284*r - 137*r + 8 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 879022.8 days?\nAnswer: 75947569920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 59799?\nAnswer: 59802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 - 144*s + 2854. Calculate n(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:59 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82*s**2 - 5*s + 76*s**2 - 289 - 138*s**2 - 248 wrt s?\nAnswer: 40*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 7*w**2\/6 - 3114599*w\/6 - 444943\/3 = 0.\nAnswer: -2\/7, 444943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 1. Let q(h) = 2*h**2 - 5*h + 4. Let f(z) = -z**2 - 9*z + 4. Let d be f(-9). Suppose -i + 0 + d = 0. Calculate i*a(s) + q(s).\nAnswer: -2*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12702 * -3.\nAnswer: 38106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/21*459\/(-18). Let h(v) = 7 - v + 12 + 2. Let x be h(n). Sort -1\/3, 1\/4, x in descending order.\nAnswer: x, 1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsscfrspscfsfsescc. Give prob of picking 1 s, 1 c, and 1 f.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2221420 - 1?\nAnswer: -2221421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4 = -4*w, -6 = -4*r + 14*w - 9*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 0, -15 - 69 = 3*r + 2*w. Let h = r - -16. Suppose 0 = -3*a - 4*v - v - 52, 2*a = 3*v - 22. Is a > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -92676, -370742, -834194, -1483038, -2317280, -3336926?\n\"Answer: -t**3 - 92687*t**2 + 2*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -41*w**2 - 9*w + 1. Let c be n(-8). Let a be 3 + (c - (0 + 2)). Is (-2)\/3 - a\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*j**3 + 27*j**3 - 86*j**2 + 161*j**2 + 42*j**3 - 76*j**2.\nAnswer: -291*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5\/4 (b) 0.47 (c) -15\/14 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181925836?\nAnswer: 2, 19, 2393761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*(2*sqrt(1584) + 1))*-3 + -4)**2.\nAnswer: 3456*sqrt(11) + 513280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0 + 2*y - 1\/6*y**3 + 0*y**2 + 1\/5*y**5 + 0*y**4. Find the second derivative of g(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*k - 13, 4*k = 3*u + 2*u - 9. Let w = 3 + -11. Let g(v) = 3 + v + 8 - 12*v. Let x(l) = -7*l + 7. Calculate u*g(o) + w*x(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*k - 174, 4*s + 1272*k = 1312*k - 12 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*h**3 - 2459*h**2 - 2442*h.\nAnswer: -h*(h + 1)*(17*h + 2442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3509506 kilometers?\nAnswer: 350950.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140588 divided by 31683.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2039 and 15019274?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.04 (c) -12 (d) 92 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, -6\/247 in ascending order.\nAnswer: -1, -1\/6, -6\/247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*p - 2*p**3 - 2540*p**4 - 6 + 2542*p**4 + 2 + 2 in the form b*p**4 + n + w*p + s*p**2 + r*p**3 and give w.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -75\/688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 372*g + 364*g - 726*g + 75 as j + h*g and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606 + 1640 = 47*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {d: 3, m: 2, s: 3, y: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 652 - 1?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292453 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 33\/(-6))*(3 + -2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*u = 3, -g + 12 = -4*u - 3. Let k be (69\/(-18) - g) + 5 + -1. Which is the biggest value? (a) k (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:48 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + 376. Is m\/14 - 12\/42 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s\/(s*s**(-2\/11)))\/s)*s\/(s\/((s*s**(2\/13))\/s))*s*s*s)\/(s**(1\/2)*s)**(-21\/5) assuming s is positive.\nAnswer: s**(16119\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*q + 0 = 2, 0 = q. Let p(r) = a - 2 - 3*r - 7*r. Let g(c) = 80 + 0*c - 80 + 2*c. Determine p(g(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.7 * -6.\nAnswer: -238.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1.9, 2\/9, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809156.\nAnswer: 2, 202289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*m - 191*m = 8 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -287998 minus 0.298?\nAnswer: -287998.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3cbc (base 14) to base 7.\nAnswer: -43225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 21*o + 2686 = 0. List the prime factors of o.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -47. Let u(r) = -r**3 + 10*r**2 - 15*r - 4. Let l be u(z). Let g = 18 + -86\/5. Which is the closest to -0.3? (a) l (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o - 50*o - 291 = 12*u, -4*o = -4*u + 24 - 128 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21235522 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(j**(1\/2)*j))\/(j**(-5)*j**(-1))*(j**(-5)*j\/(j**3\/j*j))**34 assuming j is positive.\nAnswer: j**(-461\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 10*t - 19. Let u be s(11). Let a(g) = g**2 - 5*g + 5. Let z(p) = 2*p**2 - 8*p + 8. Calculate u*a(x) + 5*z(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -8 - 0) + 0 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -588 + 590. Determine x, given that 16*x**3 - 57*x**n + 4*x**2 + 32*x**4 + 36*x - 25*x**2 = 0.\nAnswer: -2, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**3 - 2*b**2 + 10*b + 8. Let n(s) = -s**3 - s**2 - 4. Determine -2*n(w) + r(w).\nAnswer: -4*w**3 + 10*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -305 - -289.3. Let k = 0.719 + -0.119. Let z = h + k. What is z rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 24, 4*o = 12*q - 18*q + 8766. Calculate the remainder when q is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -22, 4, -1 in descending order.\nAnswer: 4, 3, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478.425 rounded to the nearest integer?\nAnswer: 4478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3657 + 5?\nAnswer: 3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -164\nAnswer: 65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n - 171 = z, -4*n + 3*z = 1003 - 986 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40933939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5*v + 92*a**2*v**3 + 2*a**2 + 2*a*v**3 - 385*a wrt a?\nAnswer: 40*a**3*v + 184*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 2. Let m(n) = 4*n**2 + 4*n - 18. Let q be m(-9). Let i = -269 + q. Let g(s) = -s. What is i*g(z) - o(z)?\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 42 + -23 - (3 + (-13 - 1))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1324 + -1324. Solve 2*k + 3 = 4*n - 5*n, 5*k + 3*n + 7 = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 + 3\/15*(14 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279.\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 22. Let q be s(13). Suppose -2*o = -p - 23, q*o - 31 = p - 4*p. Calculate the smallest common multiple of (2 + 0 - 1) + 1 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/2))**3)**(-1\/33))**(4\/5))**(-44) assuming s is positive.\nAnswer: s**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.602 + -0.398. Is -82 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + x + 3)*(6*x - 4*x - 4*x) + 3*x**2 + 2*x**2 - 7*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(704)*-2 + -1))**2 + -2.\nAnswer: 512*sqrt(11) + 45070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208048 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 145, 155, 165, 175?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.16 (c) 0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o - 6. Is -31*(o + -4) + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:48 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:13 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*c**2 - 6*c - 190*c**2 + 48*c**2 - 1 + 69*c**2.\nAnswer: -23*c**2 - 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 29. Suppose 0 = 4*d - 6*d. Let a be v(d). Let o = a - -39. What is the greatest common divisor of o and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31031 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*sqrt(513)*3)\/(sqrt(96)\/sqrt(8) + sqrt(27)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: -150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13770080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 711*k - 710*k - 4*h + 37 = 0, 0 = -2*k + 2*h - 56 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 37*a**2\/2 - 3*a - 10. Let j be l(-1). What is the tens digit of j\/6*105\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from nxtriian.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 539, 650, 771, 908, 1067, 1254, 1475?\nAnswer: 1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*1)\/(392\/1512*-27*(-1)\/(-21))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 1. Let b be n(9). Let u = -81 + 137. Let j = u - b. What is the remainder when j is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1315 + 2631664?\nAnswer: 2630346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.3 + -66.6. What is the third biggest value in -2, 0.7, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -60.00046. Round l to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*f + 22 = 0, 0*q - 3*f = -q - 16. Let s = -4 - q. Let p(i) = -2*i**2 + i**2 + 5*i - s + 5. What is p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmi when three letters picked without replacement from {u: 2, c: 1, d: 3, i: 3, m: 1, j: 9}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 4*m - 7. Let p be w(-7). Let c = p + -12. Let s(u) = -1 + 1 + 3*u**2 - u**c. Let j(g) = -8*g**2. What is j(s(i))?\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -136558.64 rounded to the nearest one hundred?\nAnswer: -136600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586 + -584 + 2 + 0 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 184*g**3\/9 - 82*g**2 + 248*g\/3 - 8\/9.\nAnswer: 2*(g - 2)**2*(92*g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4 + (4 + 3 - 4)*(4 + 2 - 4))*(3*s - s + 0*s + (1 - 2 - 1)*(4*s - 2*s - 4*s) + 2*s - s + s) - 7 + 4 + 4 + 2*s.\nAnswer: 66*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 15*g**2 - 16*g + 30. What is the units digit of z(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.09925 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.323 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 4:10 AM?\nAnswer: 272","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97525?\nAnswer: 5, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 26, -0.4, -41, 9, 4, 0.58?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(640) + (-1*sqrt(640) - sqrt(640))) - (((2*sqrt(640) - sqrt(640)) + sqrt(640))*-3 + sqrt(640)))\/(-6*sqrt(500)*-3*-2).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238254 is divided by 100.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66396*q - 361023*q - 235229*q.\nAnswer: -662648*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:52 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 34566*i - 3292795.\nAnswer: (i - 95)*(i + 34661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450544 divided by 4.\nAnswer: 112636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 + 1. Let d(j) = -4*j**3 - j**2 - 7*j - 3. Let t be (22\/(-8) + 3)*4. Let a(s) = t*d(s) + 5*b(s). What is the units digit of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.057, 4\/3, 1\/22, 0.04, 1\/4, -0.07, -0.04?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -88*d + 64. Let o(p) = 8*p - 6. Let y(a) = -3*b(a) - 32*o(a). Give y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-1)\/(-12)). Let g(l) = 5*l - 1 - y*l + 0. Let a be g(5). Solve -3*z - 4*j + a = 0, -2*j - 7 = 4*z + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 11*q**2 - 3 - 36*q + 5*q**2 - 29 - 20*q**2 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(-3\/19))**(2\/13) assuming j is positive.\nAnswer: j**(-12\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032310 + -123?\nAnswer: -1033033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -7\/5*m**5 + 16*m**2 + 10*m + 2\/15*m**6 - 4 - 40\/3*m**3 + 6*m**4. Factor w(d).\nAnswer: 4*(d - 2)**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 592*j - 3 + 496*j - 1098*j. Let f(h) = -21*h - 5. What is 4*f(m) - 7*l(m)?\nAnswer: -14*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 17. Suppose r - p + 37 = 0, -3*r - 105 = 3*p - x*p. What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179980.\nAnswer: 2, 5, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooof when four letters picked without replacement from {f: 16, o: 4}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.515 and 278.\nAnswer: -421.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h - 9. Is g(6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11112202122 (base 4) in base 15?\nAnswer: -1caaa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/(-335))\/((-4)\/((-20)\/5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1439252, 2878504, 4317756, 5757008, 7196260, 8635512?\nAnswer: 10074764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*g - 12, -5*g + g + 16 = 0. Suppose -5*z + 3053 = t, -621 = 2*z - 3*z + h*t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88627.\nAnswer: 7, 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1978\/11 - -180. Let i be 1\/(1\/6 + (-130)\/(-60)). Let z = 0.09 - 0.09. Which is the second biggest value? (a) i (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 + 0 = 0. Suppose -99*a - 52 = -73*a. What is the closest to z in a, 2, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapaaaapcappcpcpaca. Give prob of picking 1 c and 1 a.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431?\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1295*g + 89*g**2 - 1295*g - 3*g**2 + 4*g**2 + 0*g**2 + (0*g + 0*g - g**2)*(3 - 1 - 3))*(4*g - 4*g + 2*g**2).\nAnswer: 182*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 6*s + 40. Let w(k) = -2*k**2 - 16*k - 27. Let i be w(-7). Is 12 a factor of d(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v + 5. Let h(f) = 3*f - 1. Let n(d) = 6*b(d) + 39*h(d). What is n(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-4)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1887 - 1843. What is the remainder when k is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -8 - 0. What is the remainder when 202 is divided by 1\/(-2) - 332\/s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 10*o**2 - o + 8. Calculate l(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 452 - 444. Solve 2*g = 5*y + 35, -3*g - m + 23 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -11, 2, -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 150 = -5*j, -5*j = 4*q - 38 - 76. What is the highest common divisor of j and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116? (a) -0.789 (b) -7 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170184 and 3752.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/3 - 298250*b**2\/3 - 7755007*b\/3 - 50408644\/3 = 0. Calculate b.\nAnswer: -13, 298276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 376 - 374. Calculate the remainder when 43 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000491955 to 6 decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 84.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100110001 + 100?\nAnswer: 10100100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*i + 2, 0 = -20*a + 19*a + 3*i + 6 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 15*z - 19. Let m(d) = 34 - 12*d + 18*d - 8*d. Let y be m(10). What is q(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(8\/(-36) - (-986)\/(-18)). Let f = 107 + u. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8626.163ug in grams?\nAnswer: 0.008626163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216 - -289. Suppose 2*i - i + 4*u - 29 = 0, -5*i = 2*u - j. Calculate the least common multiple of i and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -80, -3 in decreasing order.\nAnswer: 3, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*((sqrt(288) - 2*sqrt(288)*-6) + (sqrt(288) - ((sqrt(288) - -1*sqrt(288)) + 4) - sqrt(288)) - (2 + -2 + sqrt(288) + -1)).\nAnswer: -10 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 12. Let n = y + -18. Let j(r) = r**3 + 6*r**2 + 6*r - 1. Calculate j(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/4545 and -19\/144454745?\nAnswer: 1300092705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + (-6672)\/(-176) - 21\/132?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -10 + -9 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 80. Let x be 5*54\/12*132\/l. What is x rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-1*4)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 10*y - 8. What is p(-7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-64)\/96)\/((-2)\/12). Let s(i) be the second derivative of 1\/6*i**3 + 1\/4*i**d + 5*i - 3\/2*i**2 - 1\/20*i**5 + 0. Give s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-8 + 5 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let i(u) be the first derivative of -2*u**3\/3 + 4. Calculate i(a(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/(-4)*(15 + (-5 - -2))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 + 1 + 0*o + 2*o - 4*o**2 + 10*o**2. What is the units digit of c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4117, 4174, 4233, 4294, 4357, 4422?\nAnswer: 4489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 6 + 24. Let o be (((-4)\/u)\/2)\/(3\/(-13239)). Suppose 2*v - 1471 = v - 3*q, v = -5*q + o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j + 476 = 45*j. Let l = 1 - 1. Suppose 2*q - 14 = -l*q. Calculate the highest common divisor of q and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-19*h - 14*h + 9*h)*(4*h**3 - h**3 - 4*h**3).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1708*y + 1708*y - 438*y**2)*(-4 - 3*y + 1 + 0) to the form o*y + f*y**2 + r*y**3 + b and give f.\nAnswer: 1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 45*t - 7. Let k(l) be the second derivative of -4*l + t + 1\/35*l**5 + 0*l**2 + 1\/105*l**6 - 2\/21*l**3 - 1\/42*l**4. Suppose k(d) = 0. Calculate d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + d + (1 - 1 - 1)*(166*d + 391*d + 12*d).\nAnswer: -568*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from nungfxutxuxu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244074640?\nAnswer: 2, 5, 41, 74413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(-3*v**2 + 1310*v + 2336*v + v**2).\nAnswer: 2*v**3 - 3646*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1000? (a) 0.5 (b) -2.4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -40. What is the highest common factor of 84 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289200\/939 < 1374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107*90.\nAnswer: -9630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182327300 rounded to the nearest 1000000?\nAnswer: -1182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -u. Suppose 3*o + u*o = 5. Let c be ((-4)\/114)\/(o\/3). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 585\/585*2\/16*-1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310 a factor of 106634960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p**2 + 987*p + 333. What is w(-70)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q. Suppose k = -q*k + 110. Suppose 0 = -d - 0*a - 2*a + 20, 2*d + 3*a - 35 = 0. Calculate the highest common divisor of k and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-180)\/(-25))\/3)\/(-54*6\/120).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - b02a8?\nAnswer: -b02a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854322231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47072 (base 9) to base 14.\nAnswer: b63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 331452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.325077060957 - -0.4?\nAnswer: 0.074922939043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*p - 16, -5*d + 296 - 245 = 4*p for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21691 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*i + 67*i - 515 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16886231?\nAnswer: 19, 229, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.536 + -23987748\nAnswer: -23987747.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3570 - 3575. Which is the nearest to -1? (a) 2 (b) -2\/3 (c) k (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 366*h + 1056568 + 1965407 = 0. Calculate the remainder when h is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*a**6 + 55*a**3 + 1911*a**2 wrt a?\nAnswer: -1320*a**3 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*p - 746*p = 1245 + 5448 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142794572 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 + 2. Suppose -2*l + 0 = -20. Suppose 0 = -0*c + 2*c + l. Calculate j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-3))\/((-14790)\/(-491266)) - -11 and -37\/450?\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 118*x + 549. Determine v(-70).\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -51. Which is the fourth smallest value? (a) -1 (b) k (c) -5\/2 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, 2\/15, 6\/7, 45.4 in decreasing order.\nAnswer: 45.4, 6\/7, 2\/15, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 66*j + 202. What is w(4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -28. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -624, -1140, -1910, -3018, -4548, -6584?\nAnswer: -9210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76745 (base 15) to base 13.\nAnswer: -102356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/30*10\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108127, -216272, -324423, -432580, -540743, -648912, -757087?\nAnswer: -865268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2145 and -0.1.\nAnswer: 214.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdtddddttttdd. What is prob of picking 1 t and 1 d?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 864 - -72?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54588601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -92824810 and -92824811 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 70. Suppose l = 5*s + 1 - 56. Calculate the least common multiple of 7 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/((sqrt(66)*-2)\/sqrt(11)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21089 - 21037 = 4*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000100011 - 10?\nAnswer: 2000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4458, 41 in ascending order.\nAnswer: -4458, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/20 - g**4\/6 - 2*g**3\/3 + 3*g**2\/2 - 2*g. Let n be f(3). Solve n*p + 9 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 508 and 5348148.\nAnswer: 679214796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278223 is divided by 1772.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 232*k**3 + k**2 - 9*k + 2. Let o(a) = -464*a**3 - a**2 + 15*a - 5. Let i(f) = -2*o(f) - 5*q(f). Find the third derivative of i(v) wrt v.\nAnswer: -1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 37262280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15)*5*4\/36\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 24. What is the third derivative of -7*z**3 - z**t - 4*z**2 + 7*z**3 - 6*z**4 wrt z?\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -541\/5032 + -3\/296. Let r = -2 + 1. Let m = 875 + -880. Which is the third biggest value? (a) -0.3 (b) m (c) r (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*h - 3, 0 = h - 2*j - 4 - 3. Let v be (1\/7)\/(h\/(-4)). Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -1, -3\/5, -4, -230574 in ascending order.\nAnswer: -230574, -4, -1, -3\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/(5\/25)*2\/40\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 84 = 14*b. What is the remainder when 46 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 916330856 divided by -711437\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*x**3 + 396*x**2 + 12*x + 261?\nAnswer: -84*x + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 0*j - 2*j**3 + j**5 + j + 0*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 - 4*i**5 + i**5 + (i - 7*i - 2*i)*((2*i**4 - 2*i**4 + i**4)*(1 + 1 - 1) + i**4 - 2*i**4 - 6*i**4).\nAnswer: 47*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - l**2 + 3 + 4*l**2 + 2 + l**3. Let a(z) = -z**3 - 3*z**2 + 5*z. Let k be a(-4). What is o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:38 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 27*d. Calculate t(-5).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*9\/30*480\/(-32).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 5*l**2 - 8. Let w be h(-5). Let n be (-47 - -45) + 1\/((-2)\/w). Solve -5*b - 7 = -n*o - 0*b, -o = 2*b + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118550 is divided by 23710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/16 and (0 + 0 - (118260\/3232)\/(-9)) + -4?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*h**2 - 143636*h + 430922*h - 34*h**2 - 143642*h - 143644*h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 10. Let i be z(14). Differentiate 4*r + 16*r - 29*r + i with respect to r.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Let l = 21.2 - 21. Which is the third biggest value? (a) z (b) -0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84, 33, -20, -75, -132, -191, -252?\n\"Answer: -x**2 - 48*x + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.8 - 50. Let v = 6 + q. What is the third smallest value in 3, 1, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644930 and 2636348?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g + 3*g - 2*g)*(-3 - 4*g + 3) - g - 2*g + 2*g**2 + 2*g in the form u + i*g**2 + z*g and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -267*m**2 - 178. Let z(c) = -402*c**2 - 268. Let k(a) = 11*s(a) - 7*z(a). What is the derivative of k(w) wrt w?\nAnswer: -246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 1.97 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-744)\/(-126) + (-7)\/(147\/(-2)))*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*n = 6*n + 10, v + 3*n = -13. Suppose 0*j - 5*j - 40 = 0. Let t = j + 23\/3. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02812 + 0.028112853. Round t to 7 decimal places.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*w**2 + a**2*w - 324*a**2 + 2*a*w**2 - 102*a*w + a - 62*w**2 - 2 wrt a?\nAnswer: 8*w**2 + 2*w - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = 4. Let s(j) = 0*j**2 + 0*j**2 - 4*j + 2*j**m - 3*j**2 - 2. What is the units digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63632 or 63638?\nAnswer: 63632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Let f be (-1 + 1)\/(-9 - -11). Let i(s) be the third derivative of 0 - s**2 + f*s - 1\/12*s**4 + 0*s**3. Calculate i(o(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -2*l + 4*w, 5*l + w + 26 = 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217040.603 + -217049.60300011. Let j = t + 9. What is j rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82770 to the nearest 1000.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 42*h - 45*h. Let r be h*(3 - ((-189)\/6)\/(-7)). Solve -4*o + r*o - 4*b + 2 = 0, -o - 2 = -3*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.60015345269 and 0.5?\nAnswer: 1.10015345269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 820, -73 in decreasing order.\nAnswer: 820, 1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 13. Let b(n) = -2 + 1 - 9*n**2 + 6*n**2 + 4*n**2. Let d be b(-1). Calculate c(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 21. Let j = r + 27. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -6*v**2 - 1\/4*v**4 + 0 - 1\/30*v**5 + 0*v - 2\/3*v**3. Suppose u(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 700961739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) + 4927784\/1147104. Let k = -5\/2276 + n. Let z = 1356 + -10817\/8. Find the common denominator of z and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9450883g in milligrams?\nAnswer: 945.0883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, n: 19}. What is prob of sequence nnnn?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/2 + 77*f**2\/2 + 112*f + 74 = 0. Calculate f.\nAnswer: -74, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 11. Let b = -5 - r. Suppose -3*d = -4*h + 151, b*h + 0*h - 53 = -3*d. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r\/r**(1\/8))\/r*r*r*r)\/(r*r\/r**11))\/(r**(-8)*r**3) assuming r is positive.\nAnswer: r**(151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*r**3 + 368*r**2 + 980*r + 200 = 0. What is r?\nAnswer: -5, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 - 2*m. Give n(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 2, 2.9, -1288, 17, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - 11*p + 14. What is the units digit of h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -713, -2122, -3531, -4940?\n\"Answer: -1409*v + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let g(l) be the third derivative of 0*l + 0*l**3 + l**2 + 0 + 1\/12*l**4. What is g(z(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + 2 + -16 + -1 + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*w + 14925 - 2216 = -17881 for w.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442775 is divided by 3921.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*a**4 + 176*a - 139028.\nAnswer: -352*a**3 + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d**5 + 15*d**4 - 35*d**3 - 45*d**2 + 25*d + 30 = 0. Calculate d.\nAnswer: -2, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 41.1369.\nAnswer: 452.5059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/60960 and 3\/12700.\nAnswer: 304800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1972628 and 493157.\nAnswer: 1972628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 5*n**2 - 50*n + 1 + 10*n + 217*n**4 + 19*n + 19*n to the form j*n**3 + f + b*n + a*n**4 + y*n**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.1 - -13.8. Let z = 0.7 - j. Let x = 5 + -5.4. Which is the closest to 0.1? (a) x (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 11:16 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 + 3. Let u be 5 - (9 - (-8)\/(-4)). Let z(f) = -1. Let q(o) = u*r(o) - 6*z(o). Suppose q(j) = 0. Calculate j.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**7\/70 - b**6\/40 - b**5\/20 + b**4\/8 - 5*b**2\/2 - 4. Let m(a) be the second derivative of g(a). Let m(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3637 - -3641. Solve -x = 2*g + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 0*l**4 - l**4 + (-l**4 + 0*l**2 + 0*l**2)*(-1 + 1 + 1) - 2*l**4 - 3*l**4 + 3*l**4 - 4 + 2*l**4 + 4 + 15*l**4 - 37*l + 37*l.\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) -2 (b) -1 (c) -3\/7 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.31. Let i = j - -0.17. Let m = -16.12 - i. What is m rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + r - 5*r = 60, 45 = 3*b + 4*r. Suppose -b*g + 10*g + 2565 = 0. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b**3 - 125*b**2 - 120*b - 28. Let d(f) = -2*f**3 + 25*f**2 + 24*f + 6. Let l(m) = -3*a(m) - 14*d(m). Factor l(s).\nAnswer: s*(s + 1)*(s + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-6) - -8)*-2 - -2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 933317 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 958574 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13261\/56 - 949\/4. What is the common denominator of n and 17\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 731*o**2 - 100*o + 542. Let k be j(6). What is the greatest common factor of 38 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/30 + 9*l**4\/8 - 3*l**3 + 28*l**2 - 2*l. Let x be m(-14). Sort 0.58, -5, x, 0.2 in descending order.\nAnswer: 0.58, 0.2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2000))\/((3*sqrt(120))\/sqrt(12)))**2.\nAnswer: 3200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + 0 - (4 - (-16 - -35)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - (-104)\/32. Let z = -3 + 3. Put -4, t, z, -1 in decreasing order.\nAnswer: t, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-nine halves of a minute?\nAnswer: 2070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*21\/(-12)*(-6)\/14.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 6 = -j - p, 0 = -3*j - 5*p - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -27. Suppose 2*m - 9 = -1, 5*m - h = -p. Suppose -p*g = -4*g + 62. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157.51 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 78694.91 kilometers?\nAnswer: 78694910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 2}. What is prob of sequence hy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = -5*x + 79, -4*x + 62 = -3*g. Let l be -1*1*(-7 + 66). Let z = -27 - l. What is the remainder when z is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**1)\/k))**(17\/3))**45*(k**(2\/11)*k*k*(k\/(k*k**9))\/k)\/(k**1)**28 assuming k is positive.\nAnswer: k**(5216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241911641.\nAnswer: 293, 825637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16012662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b + 18. Give v(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (106\/(-4))\/((-6 + 300\/48)\/(-41)) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78082*d**3 + 156168*d**3 - 78081*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84891 - 439249 = -52*w - 21*w. List the prime factors of w.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5 + 76*j**4 + 93*j**3 - 1252*j**2 + 1540*j = 0?\nAnswer: -5, 0, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*x - 115 - 93 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 3*v**2 - 9*v - 24. Let n be f(-3). Factor 4\/3*o - 2\/3*o**2 - 4\/3*o**n + 0 + 2\/3*o**4.\nAnswer: 2*o*(o - 2)*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 61, 136, 241, 376, 541?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/((d\/(d**(-9\/4)*d))\/d))\/(d\/(d*d*d**(-2\/7)\/d*d))**(2\/31) assuming d is positive.\nAnswer: d**(-6253\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 7070 + 7370 = 0. Solve 14*b = 53 - s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 smaller than -13770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 35*u**3 - 4*u**2 + 3*u - 5. Let p = 28929 + -28925. Let r(o) = 18*o**3 - 2*o**2 + 2*o - 3. Calculate p*j(s) - 7*r(s).\nAnswer: 14*s**3 - 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -211 in decreasing order.\nAnswer: 4, -4, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.358 (b) 2\/29 (c) -0.004 (d) -7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 7 + 0 - d**2 - 4*d. Let w be f(-5). Suppose -5*i - 3*j + 3 = 0, -i + 5*j + 23 + 0 = 0. Which is the closest to -3\/2? (a) w (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*a - p + 6, 3*a = 5*p - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/14 + (-210)\/(-98). Let d be (-9)\/1 + j - (0 - 3). Let k be 14\/21*(-750)\/d*560. Round k to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 8*p**2 - p. Let a = 556 + -56. Let t = a - 492. Calculate u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-32)*-2613333 - (-3)\/(-8). Round t to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 30*p**4 + 72*p**3.\nAnswer: 2*p**3*(p + 3)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sps when three letters picked without replacement from pppppspssssp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + s - 2. Let b be o(-2). Let j = -1.01 - -0.01. Let i = 6 + j. Sort b, -5, i in descending order.\nAnswer: i, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 19020?\nAnswer: 57060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from rqqqqqqqqqaqqqqq.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123803, 247217, 370631, 494045?\nAnswer: 617459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, g: 3, t: 1}. What is prob of sequence gg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.77 and 1222909.\nAnswer: 1222907.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 0 - (63 + -38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/3 - 3. Let x(g) = -g + 5. Let n be x(9). Let r be 2\/10*10\/n. Sort 0, i, r in ascending order.\nAnswer: r, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1051\/3 + -347. What is the common denominator of -1\/11 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 133 + 5 = 0. Calculate the highest common factor of s and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 419 - 75. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 2, 0.37, -0.1, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15274, -15275, -15276, -15277, -15278, -15279?\nAnswer: -15280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than or equal to 51889\/4736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 10. Let r be (-12)\/(-8)*(-1 + h). Let l = 26 + r. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60302 (base 9) to base 8\nAnswer: 115273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302530*b**3 - b - 151886*b**3 - 150637*b**3 + b.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)*v*v**(-19))**(-3\/26))**(2\/27) assuming v is positive.\nAnswer: v**(88\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*72\/(-108)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 81 - 21. Suppose -6 - 4 = 5*l. Let r be (-5)\/((-5)\/l) + 2. Solve 0 = -4*d + y, 5*o - 3*d + r*d = -9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*z - 3*x + 174, z + 3*x - 42 = 0. Let r be 2\/6 - (-4576)\/z. Let d = -30 + r. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2. Let x(j) = -j**3 + 2 - 15*j + 15*j. Let b be x(-2). Let z(q) = -q + b - 10. Calculate r(z(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 11*z + 6. Give u(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -101) + 0 + (-26 - (27 + 3 + -45))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19083 is divided by 195?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g. Let t(h) = 42812*h. Determine t(a(m)).\nAnswer: 556556*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100001001110101111 (base 2) to base 8.\nAnswer: -3411657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -3786.\nAnswer: -3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 43*w + 25 = 48*w, 0 = -4*w + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*s**3 + 6*s - 6*s.\nAnswer: 90*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0, -5\/2941.\nAnswer: -5\/2941, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 + 256*i\/13 - 258\/13.\nAnswer: 2*(i - 1)*(i + 129)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.35 less than -10697.64?\nAnswer: -10617.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eb71f3 + -e?\nAnswer: eb71e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*2)\/2)\/((-4)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 6*k + 11. Let t be f(-7). Suppose -20 = -b - t*m, -13*b - 25 = -9*b - 5*m. Solve -2*i = -b + 4, 0 = -4*n - i - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*t**2 + 280.\nAnswer: -230*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 3 - (11 + -6 + (-16 - -9) - 8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 27, 23, 7, -27, -85, -173, -297?\n\"Answer: -b**3 + 3*b**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by -6.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -1835, -4114, -7303?\nAnswer: -11402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 i when four letters picked without replacement from {i: 9, w: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/(-14) - 1245\/(-230). Let b = -5.11 + 0.11. Let z = 0.3 - 0.1. What is the third biggest value in z, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-21)*t*t*t**(-7)*t*t*t)\/(((((t*t\/((t\/t**(-5\/6))\/t))\/t*t)\/t)\/t)\/(t\/(t**14*t))))**40 assuming t is positive.\nAnswer: t**(-4340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037932 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 133*s + 430. Determine m(66).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26966\/13 + 2073. Let d = v + 284\/247. Let f = -334 + 335. What is the nearest to f in d, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-98) - 2\/7. Suppose -2*t = 2*t - 4*c, w = -5*t + 3*c. Are -4\/5 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19566 times 0.01\nAnswer: -195.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/1485 and (-5353)\/20790 - (1 + 3 + 92\/(-22))?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/5 or -7?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -11*a - 52. Calculate the remainder when -6*4\/a - -138 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(1092\/(-21))*273\/36*8\/26.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367 - 306. Let v = c - 60.94. Is -1\/21 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -30\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.97 - 0.03. Let g be 2 - (-3 - (-321)\/45). Let h = 7\/3 + g. Sort -0.3, b, h in decreasing order.\nAnswer: h, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - i**3 - 2*i**3 - 6 - 6*i**2. Let q(x) = x**3 + 5*x**2 + 5. Let f be (3 - (-28)\/(-16))\/((-1)\/(-4)). Calculate f*d(r) + 6*q(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1068*r**2 + 1088*r**2 - 27*r + 6*r + 21*r to the form t*r**2 + l*r + m and give t.\nAnswer: 2156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(sqrt(2160)*-3 + sqrt(2160))\/(1*sqrt(3)*5).\nAnswer: -48*sqrt(5)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2528 + -2526.8044. What is u rounded to 2 decimal places?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1101 + (-7 - 11) + -15. Solve 1087*n - 19 = h*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*p + 11*p**2 - 13*p + 2 + 42*p - 6 + 18*p to i*p**2 + b + s*p and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.02895 to 2 dps.\nAnswer: -12.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 30 + 40 + (-6 - -7) + -8 - 33\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 97 = -5*w, w + 4*n + 76 = -3*w. Let y = -2.2 - -0.2. Which is the biggest value? (a) w (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (3 + (sqrt(13) - sqrt(65)\/sqrt(5)))**2 + sqrt(91)\/(2*sqrt(28)).\nAnswer: sqrt(13)\/4 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 16*s**5\/5 + 23*s**3\/3 + 2. What is the third derivative of i(c) wrt c?\nAnswer: 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(120) - sqrt(120)*-2) + sqrt(120) + sqrt(120) - sqrt(120))\/sqrt(5) - sqrt(24))\/((sqrt(12) - -4*sqrt(768)) + sqrt(12)) + -1.\nAnswer: -1 + 9*sqrt(2)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eerxi. Give prob of picking 2 e and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131333 - 1332?\nAnswer: 130001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146349 is divided by 225?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3*b**2 - 2*b + 3. Let z be v(2). Let l(a) be the first derivative of 5\/6*a**2 - 1 + 2\/9*a**z + 2\/3*a. Factor l(i).\nAnswer: (i + 2)*(2*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4107, 4082, 4043, 3984, 3899, 3782, 3627, 3428?\n\"Answer: -t**3 - t**2 - 15*t + 4124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbbqbqbbqbbqbbqbqqq. Give prob of sequence bqq.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**3 + 4*z**2 + 5*z - 4. Let m be (-18)\/(-15)*20\/(-6). Let f(a) = -17 - 4*a + 4 + 11 + 3*a**3 - 3*a**2 - 2 + 7. Calculate m*r(w) - 5*f(w).\nAnswer: w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42 (b) 1\/100 (c) 2\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvg when three letters picked without replacement from {w: 4, v: 2, g: 1, h: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(340\/(-24))*(7 - 2). Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b + 10 = 0. Let m(l) = l**3 - 4*l**2 + 3*l - 1. Let o be m(b). What is the units digit of 1\/3*(6 + o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(0 + 2*k + 0)*(-57*k - 125*k - 7*k) to j*k + o*k**2 + i and give o.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**7\/140 + l**5\/20 - 8*l**3\/3 - 3. Let t(s) be the third derivative of v(s). Find the second derivative of t(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppxapzppxzxzxxx. What is prob of sequence zpxz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 2\/9, 31, -243.02?\nAnswer: -243.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17118*x**2 + 17240*x**2 - 51295*x**2 + 17105*x**2.\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c = 18*c + 237*c - 2800 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + 8 = 0. Let d be (-2)\/(b + 5\/(-2)). Sort 5, -1, d.\nAnswer: -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-198)*(1710\/(-145))\/57.\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u - 263 + 47 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.79 (b) 11.2 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/34 and -97\/2142?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5620 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 6*w**2 + 31*w - 7. Does 29 divide v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 4*x - 73. Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -522, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 30*z + 8. Let m be i(-6). Let r be 6\/(-4) + m\/(-8). Let t(x) = x - 4. Let q be t(6). Solve r = -2*h - q*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019629?\nAnswer: 13, 41, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 11. Suppose -103 = 4*j - 311. What is the remainder when j is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420314 (base 7) to base 14.\nAnswer: -4d27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*c + o, 1 - 8 = -3*c - 5*o. Let j be ((-2)\/(-3))\/(3\/c). Suppose 0*m = -5*m. Solve -j = -2*w + 3*i - m, -5*w + 3*i = 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwwpwpccwpppww. What is prob of picking 2 p and 1 c?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 7*d + 5. Let s = d - 3. Is (-98)\/(-8) + (-3)\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -2*a**3\/3 - 3*a**2 + 4*a + 11. Let t be q(-3). Solve 5*h - 14 = -2*c + 3*h, -25 = -t*c - 3*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 4*y - 5. Let u be n(-4). Let z be ((-5)\/130)\/(2\/8). Let d = -0.3 + 3.3. Which is the third smallest value? (a) z (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/5 + 1*3. Solve b*n + 5 = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (7 + -8)) + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w + 135 = 48*w. What is the remainder when 246\/4*60\/w is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:08 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(756)*1)\/((sqrt(567) - (sqrt(567) - -2*sqrt(567))) + sqrt(567) + 2*sqrt(567)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 6*j - 5. Let z be r(-1). Let l(g) = g**3 - 3*g**2 - 7*g - 16. Let p be l(z). Which is bigger: -84 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.3. Let i = -0.4 - r. Let k be (-2)\/6*6\/13. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 33*a**2 + 19*a - 43. Let v(n) = -82*n**2 - 38*n + 83. Let u(l) = -5*h(l) - 2*v(l). Determine u(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**5 - 1850*c**4 - 16707*c**3 - 44596*c**2 - 37180*c = 0.\nAnswer: -5, -2, 0, 1859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 2*a**2 - 1. Let j = -2 + 4. Let x be s(j). Which is smaller: x or 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4159332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(162) + -1 - (-3 + sqrt(8)\/sqrt(4) - sqrt(2)))**2.\nAnswer: -335 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 + 0 = 0. Let w(q) = 3*q + 1. Calculate the least common multiple of l and w(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 117?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p = 28*p - 111 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 36*j - 41. Let r be t(19). Which is the closest to 2? (a) 1\/8 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/f**(-1\/8)*f**(4\/7)\/f**(-1) assuming f is positive.\nAnswer: f**(-353\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187078, 187067, 187056, 187045, 187034, 187023?\nAnswer: 187012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/355 or 7626?\nAnswer: -1\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.2 (b) -2\/7 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15437*q**4 + 12576890*q - 12576890*q)*(-4*q + q + 2*q).\nAnswer: -15437*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 8*n**3\/13 + 10*n**2\/13 + 2*n\/13 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5) - (-36)\/15)*33*(-384)\/25344.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (5 + 4 + (-14 - (-5 + -3)) - -35)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0.1, -11, -2 in decreasing order.\nAnswer: 0.1, -2, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1573) + 0 + 0 + sqrt(1573) + -2 + 3 + sqrt(104)\/sqrt(2) + 3 + sqrt(5200))**2.\nAnswer: 176*sqrt(13) + 25172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -0.4, 2\/17, -1\/6, -5.\nAnswer: -47, -5, -0.4, -1\/6, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306531 is divided by 2889.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, c: 4, m: 1}. Give prob of sequence bccb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 279 and 3.7.\nAnswer: 282.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6f (base 16) to base 5\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**9*y**(-7)*(y\/(y*y\/y**2))\/(y*y*y**(-8)) assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71795 and 6920.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 767 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45160?\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1651 and 55753.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6038 and -146547.\nAnswer: -146547.6038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 4845358\nAnswer: -2422679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2358610 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-27))**(-24\/11)\/(c**26)**0)**(20\/9) assuming c is positive.\nAnswer: c**(1440\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.08. Let z = 2.08 - g. Let p = -0.01 - 0.39. Which is the second smallest value? (a) -2\/3 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7817 - 7342.7. Let q = -517 + w. Let u = 41 + q. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.08994 to 1 decimal place.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337 is divided by 74.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5403 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11 - (9 - (7 - (-26 + 20)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 16*p - 15. Let g(h) = 2*h + 2. Let w(m) = -m - 1. Let a(f) = -2*g(f) - 3*w(f). Let u be a(9). Is j(u) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*l - 1 = 0, 5*j - 4 = 3*j + l. Let f(n) = -n**2 - 98 + 201 - 8*n**j + n - 102. Give f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -303 - -950. Let l = v + -45. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d - 56 = -5*q, -5*d - 2 = -q. Suppose -4*i + 6 + 1 = -9. Solve c = 3*c - 3*l - 5, -2*c + q = i*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 149 - 229 = -23*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/4 - 6261*s\/2 - 400158 = 0.\nAnswer: -4042, -132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416 a factor of 1075097906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 12*n + 24 = 0, 463 - 449 = 4*u + 2*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384989 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15375 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50408 - -0.19.\nAnswer: 50408.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 + 26.2. Let q = h + -38. Let o = -11 - q. What is the biggest value in 0.1, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3282 by -2.\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + 12. Let g = w - 7. Let u(x) = -12*x**2 - 21*x. Let n(t) = -3*t**2 - 5*t. Determine g*n(c) + 5*u(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 65*h**2 + 65*h - 55. Let k be f(64). Solve 15 = -s - 2*s, s + k = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 2, t: 1, e: 1, r: 4}. What is prob of sequence trp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1128840 and -11\/252.\nAnswer: 23705640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-28)\/2*20\/40)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 101. Let u be d(-25). Let h = -250 + 1754\/7. Is u <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013 + 0.3.\nAnswer: 0.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 52*l + 2. Let a(k) = -5*k**2 + 338*k + 13. Let p(q) = -6*a(q) + 39*i(q). Let y(r) = 119*r - 2. Give y(p(h)).\nAnswer: -1071*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 22*r - 21*r + 247*r**3 - 6 + 13 as u + i*r + d*r**2 + f*r**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -u, -u - 5368 + 5346 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + (-120)\/(-54). Let l be (-4)\/(-1) - (6\/y - 2). List the prime factors of 217\/l + (-3)\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -3082\nAnswer: -9\/3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 248. Let r = -756532667.60000009 + 756532626.6. Let t = r + b. What is t rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**2 - 5*y + 1. Suppose 5*s = 2 + 23. Let p(q) = 11*q**2 + 7*q - 2. Suppose -176 = 8*o - 30*o. What is o*b(g) + s*p(g)?\nAnswer: -g**2 - 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 + -7 - -20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 - 162. Suppose -3*x = 12, -4*x - 443 - 333 = -y*q. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25a - 4?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from qiiqiiqi.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 10, 4*l - 7044 - 481 = -5*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 281. Let q = m + 146. Let j(n) = -n**2 - 6*n + 2. Determine j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y + 80. Calculate s(-24).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*q + 89*q + 88*q + 234 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8940 and 29067069.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 1. Let p be 126\/30 - (-2)\/(-10). Suppose -p*s + 0 - 12 = 0. Let r(i) = -7*i + 2. Calculate s*r(q) - 5*j(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -902.8796 - -905. What is m rounded to two decimal places?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/(-105)*(-40)\/(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -963, -8133, -27585, -65457, -127887, -221013, -350973?\n\"Answer: -1023*q**3 - 3*q**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30603 is divided by 266?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*x - 16*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17914 - (-28)\/21*(-51)\/(-34)?\nAnswer: 2, 3, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -48939 (b) -1 (c) -1\/3 (d) 4\/3 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 8:24 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 16) to base 3.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -4352.47.\nAnswer: 126221.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 24 + 19*z**3 + (0*z + 0*z - 2*z)*(-4*z**2 - 3*z**2 - 4*z**2).\nAnswer: 41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -343?\nAnswer: -4\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/5 - 9010*v - 101475125 = 0. What is v?\nAnswer: -22525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2913164, 5826315, 8739468, 11652623, 14565780, 17478939?\nAnswer: 20392100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 74*w**2 - 293*w + 885. Let l be t(3). What is the highest common factor of 544 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 13 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-679)\/(-97) + ((-2)\/4)\/(2\/76)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.66 + 0.86. Let h = -1.8 + 1.7. Let d = 0.06 - 0.15. What is the nearest to h in d, 0.3, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than -0.087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000 (base 2) to base 7.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1753061, 3506122, 5259183?\n\"Answer: 1753061*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 85\/(-15))\/((-6)\/117). Is -13 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -28. Let q(w) be the second derivative of 1\/6*w**3 + i*w + 0 + 0*w**2. Let t(s) = 3*s. Calculate q(t(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 - 64*t**2 + 4*t + 4. Let c(h) = 2*h**3 - h - 1. Give 4*c(o) + n(o).\nAnswer: 2*o**3 - 64*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 18 = -5*r, 3*r + 1660 = 4*b + 1670 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -40461888, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.23 + 0.17. Let h = q - -0.6. Let k be (7 - (18 + -9))*(3\/2 - -1). Is h not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2484481465 to the nearest integer?\nAnswer: 49845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10211*k**3 - 10209*k**3 - 25*k**2 + 4 - 2 as v*k + m*k**2 + b + q*k**3 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let w = -20.391 + 0.191. Let v = w - -20. What is the smallest value in v, -0.5, 0.1, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 8511*p**2 - 8511*p**2.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 18. Let q = 92 + -98. Let w be v(q). Let -1\/5*f**5 + w*f**3 + 0*f + 0*f**2 + 0 - 1\/5*f**4 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -z + 51731, 3*z - 82441 = -5*j + 72837. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -135\/2 (c) -4\/191 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*y + 19100 = 18746. Let o = -2.02 - -2. Which is the nearest to 3? (a) y (b) o (c) 0.2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g + 0*g**2 - 2 - 1 - g**2. Let j be q(-3). Let o(m) = -m - 1. Let i be o(-4). Solve 2*b + 2 = -3*f + 3, i*f - 3*b - 6 = j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 320, 319, 318?\n\"Answer: -y + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*i**3 + 18614*i**2 + 829204129*i wrt i.\nAnswer: 432*i + 37228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Solve t + 3 = -2*w, 2*t = -w - g - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 4:19 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -367925058*g**2*m**2 - g**2*m + 4619*g**2 - 375*g*m - g wrt m?\nAnswer: -735850116*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10703 and 200299.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1906 - 790 = 4*k. What are the prime factors of k?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q + 8*q = -430 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 6*o**2 - 6*o - 2. Let f be b(-5). What is the first derivative of -f*z**4 + 0 - 6*z + 6*z + 4 wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5083? (a) 3 (b) -2 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 smaller than 47694\/295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*u**2 + 183*u + 38*u + 37*u**2 to t + v*u + q*u**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/60 and 13\/24230?\nAnswer: 145380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*5*(1*sqrt(65) - sqrt(65)))\/(6*-2*sqrt(5)*3)*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert -454326 (base 9) to base 15.\nAnswer: -559a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 93*h + 567. What is the remainder when -2*25*2\/(-4) is divided by x(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 56521868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710540852 a multiple of 727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k\/k**(-1\/5))\/k)*k*k)\/(k*k*k**(-1)*k*k))\/((k**(1\/10)*k*k)\/k**(-2\/7)) assuming k is positive.\nAnswer: k**(-111\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.321519692 rounded to 5 decimal places?\nAnswer: 0.32152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -238.1 + 238. Let q = 131 - 130. What is the nearest to 0.031 in q, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 7, d: 2}. Give prob of picking 1 v, 1 c, and 1 d.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 26 = -9*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (84\/27)\/(-5*10\/(-525)). Is 34 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -4528, 15\/4 in ascending order.\nAnswer: -4528, -93, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k + 4356 = -54*k - 79*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10)*-99*(5 - 0). Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754913029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 0.1807?\nAnswer: 0.1807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 + 1038*i**4\/5 + 17514*i**3\/5 - 16152*i**2\/5 - 4893*i + 4410 = 0. What is i?\nAnswer: -35, -6\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1320003 + (-3 - 0\/2). Suppose 3*s + 0*s = -n. Round s to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221505283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -514, -4.3, -30.7, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7169440.500051 + -7169299.5. Let m = q + -141. What is m rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18845, 75061, 168651, 299615, 467953, 673665, 916751?\nAnswer: 1197211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000800464242 to 6 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + -4 - 2 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.72713894 - 0.20277086. Let z = -65 + 66.93. Let q = z + t. What is q rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 5*j = 6792. What is the least common multiple of 8 and j?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.012242.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-119) + 168\/17. Suppose t*p - 4*i - 751 = 7*p, -i = 3*p - 746. What is the least common multiple of 4 and (0\/(-4) + -4)*p\/(-6)?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-17 + 8) - (-3 + -5 + 76 - 11).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:32 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 + 206. Let b(k) = p*k**2 - 6*k - 2*k**2 - 2*k**3 - 6662 + 6656. Let v(z) = -2*z**3 - 5*z - 5. What is 5*b(u) - 6*v(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 36 - 27. What is the tens digit of 708\/((7\/((-70)\/45))\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/f**(2\/25)*f**7\/(f**8\/f) assuming f is positive.\nAnswer: f**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*j, 2*z + 8*j = 4*j - 26. Let r be z*(2 + -3)*2. Solve -p + 11 = 3*c - 2, -p = -4*c + r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -243bb0 + -3?\nAnswer: -243bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*m + 28, z - 5*z = -3*m - 56. Let k = 11 + z. Let u be 2\/(-3) + k\/15. Solve x + u = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -1.9. Let x = h + 1.5. Let m = -33 + 31. What is the biggest value in -3, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*((-1585)\/(-36) + 206\/(-7416))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v - 10*v + 10512*v**2 + 8*v - 10514*v**2 + 16*v + 18*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -63 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, 22, -21.\nAnswer: -21, -18, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/5 - 68*m**3 - 17288*m**2\/5 - 46140*m - 42750 = 0?\nAnswer: -75, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22108 + 22083. Put 153, p, -1 in increasing order.\nAnswer: p, -1, 153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.087 + -0.787. Let v = r - -0.83. Which is the closest to v? (a) -2\/9 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by -21.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22\/9, 5, -5, -2\/3?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2454 or 2452?\nAnswer: 2452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 259 + 83 - u**2 + 36 - 8*u in the form o*u + k*u**2 + r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1873 + -1865. Let l(r) = 11*r**3 - r**2 + 1. Let n be l(1). Solve -2*b = -h, -5*x - b - n = -0*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 620, 3273, 7698, 13895, 21864, 31605, 43118?\n\"Answer: 886*h**2 - 5*h - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*2 - sqrt(187)\/sqrt(539).\nAnswer: 125*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**3\/2 - 3*z**2 + 9*z\/2 + 10. What is q in b(q) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31076 - -31075.9. Let y = 11.75 - -0.25. Let o = y - 17. Which is the closest to p? (a) -1 (b) 1\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - 2*f)*(0*f**3 - f**3 + 0*f**3) + f**4 - 11*f**2 + 9*f**2 + f**4.\nAnswer: 4*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*t + 84 = 0, 5*t + 9 = 3*b - 75. Suppose -x + 0*x + 5*v = -25, x = 2*v + b. Let i(n) = -17 + 32 + x*n - 15. Let c(g) = -2*g. What is i(c(s))?\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:16 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.3 + -11.3001225. Round x to 6 decimal places.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/438823998 and 71\/99615?\nAnswer: 2194119990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 - 370\/(-40))*((-2)\/3)\/(4 - 2). Find z, given that 15\/4*z**2 + r*z**4 - 2*z**3 + 2*z - 4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (506\/1265)\/(2\/10). Let d(u) be the first derivative of 0*u**f + 15\/2*u**4 - 34\/3*u**3 + 24 + 0*u. Find the third derivative of d(z) wrt z.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043.5923 rounded to zero decimal places?\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12322 + -4114443?\nAnswer: -4102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(9\/4)*f**(4\/11)\/f assuming f is positive.\nAnswer: f**(71\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6926503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*s, -3*m = -0*m + 3*s - 12. Suppose -4*z = -m*z + 4. What is the remainder when 22 is divided by 3\/z - -15 - 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p**2 + 0)*(1 - 2*p - 1) - 3*p**3 + p**3 + p**3 + 17*p**3 + 14*p**3 - 7*p**3 + (p**2 + 3*p - 3*p)*(-p - p + 4*p).\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 + -15) - (-1 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0 - 2*b - 6 + b + 4. Let q be h(-6). Does 6 divide (42\/q - -3)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 + 13112\/(-32) - 0)*-4 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -208.545719?\nAnswer: 208.645719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/12 + (-1)\/(-15). Let z = -2.9 - 0.1. Which is the closest to 0? (a) z (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:44 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i**2 + 8*i - 12. What is the hundreds digit of u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9 - 5)*(-9*x + 35 + 0*x - 43 - 8*x).\nAnswer: 187*x + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11775963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2245*g**2 - 4*g + 227?\nAnswer: -4490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -28. Suppose -z - s + 93 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -4, 11, 53.\nAnswer: -4, -2, 8, 11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034842 (base 11) in base 2?\nAnswer: -1101101101010010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 15*n + 6. Let s(w) = 5*w**2 - 60*w + 24. Let k(v) = 9*p(v) - 2*s(v). Does 14 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 154823, 1238551, 4180083, 9908315, 19352143, 33440463?\n\"Answer: 154816*s**3 + 6*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(11\/((-429)\/3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7128 divided by -6\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317 = 9*d + 1245 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 49*r - 6. Let s(f) = -48*f + 5. Suppose 184 = -50*d - 112 - 4. Give d*s(q) - 5*h(q).\nAnswer: 43*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3890 + -46639\/12. Find the common denominator of -35\/111 and n.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 54*b**2 - 2060*b + 32. Give j(-26).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/6*(-3)\/(-9)*(28 + -25). Let o = -26 + 28.2. Let s = o + 0.8. What is the closest to s in z, -1, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n - 17. List the prime factors of u(11).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 2. Suppose 0 = 7*d - 3*d + 12. Let x be u(d). What is the units digit of (x\/(-3))\/((-3)\/(-117))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64702.4 + 60297633.\nAnswer: 60232930.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 281297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 13*r**2 - 30*r + 14. What is the units digit of n(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/3 and -46\/807.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/7 + 96*d**3\/7 + 162*d**2 + 5832*d\/7 + 10935\/7 = 0. What is d?\nAnswer: -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 divided by 32386?\nAnswer: 553\/32386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6 (b) -0.5 (c) -41 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-97801)\/484)\/17 + 10 - 80\/(-64).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35\/6 + 37\/6. Is w < -12520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4992\/(-10304) - ((-8)\/23)\/(-4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 - 436806*x**2 - 38867987*x - 75988758 = 0. What is x?\nAnswer: -436717, -87, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427882995.\nAnswer: 5, 47, 367, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6*p. Suppose 0 = 5*i - p*i + 905000. Round i to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.3572503 + 0.2.\nAnswer: -9.1572503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 100. Let z = 29.4 - f. What is the closest to -2\/7 in 5, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/3 - 340*v**4 + 261118*v**3\/3 - 173060*v**2 + 259081*v\/3.\nAnswer: v*(v - 509)**2*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13291 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 0.06, -32, -8, -4, -2\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 876243*f**2*t + 973916*f**2 wrt t?\nAnswer: 876243*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = -3*f, 0 = -48*f + 44*f + 16. Let t(p) = 274*p**2 - 1 + p + 0*p + 0*p. Is t(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34548*m**2*r**3 + 287*m - 3*r**3 + 10*r**2 wrt m.\nAnswer: -69096*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7926, 7946, 7966, 7986, 8006?\nAnswer: 8026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1608828*g**2 - 2*g + 2*g - 1608830*g**2 - 236 + 47*g**3 wrt g.\nAnswer: 141*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*h**4 + h**4 + 5*h**4 + (-568*h + 568*h + 25*h**2)*(4*h**2 - h**2 + 0*h**2) as t*h**3 + y*h**4 + i + u*h**2 + l*h and give y.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aai when three letters picked without replacement from iiaiiiiiiiiiiiaiai.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/5 + 188*r**3\/5 - 576*r**2 + 13312*r\/5 + 16384\/5 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 33*z + 1. Let w(x) = -x - 1. What is a(q) + 2*w(q)?\nAnswer: 31*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l - 12039 + 11999 - 3*l - l**2 in the form d*l + r*l**2 + m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*8*(5 - (-3 + 7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -5, 44 in increasing order.\nAnswer: -31, -5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026659 to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k**2 - 36*k - 96. Let b(w) = -5*w**2 + 12*w + 32. Let l(z) = -4*a(z) - 11*b(z). Let f be l(14). Solve 2*t = -h + 9, -5*h - 3 - 8 = -f*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -62561.\nAnswer: -62562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 833610997 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 + 163. What is the closest to n in 6\/5, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -662 - -1177. List the prime factors of s.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 173 + 33 = 0. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*n - 45 = -20, -3*b + n + 11 = 0. Put -48, 2, -2, b in increasing order.\nAnswer: -48, -2, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddwdwrwduwwwwwdh. What is prob of sequence hhr?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:19 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001565 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -901*w + 266*w = -1905. Let c = -15\/7 - -80\/21. What is the closest to w in -11\/2, 5, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 - -154. Let g = 5 - 1. Suppose -x*n + 20 = -g*l, -3*n + 2*l + 31 - 9 = 0. Put 1, n, -1 in decreasing order.\nAnswer: n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2648*w - 1. Let i(o) = -7*o**2. Give i(y(v)).\nAnswer: -49083328*v**2 - 37072*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/152 and -91\/304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o - 2*w + 39104010, w + 39103995 = 2*o. Round o to the nearest one hundred thousand.\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u**3 - 230*u - 5*u**3 + 212*u wrt u.\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9)*(3 - -3). Let t(f) = -f**2 - 7*f. Let d be t(z). Suppose 6 = -5*m + 16, 4*g = -2*m + d. What is the remainder when 8 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1428 = -4*h, -9*h + 1785 = -4*h - 3*r. What is the remainder when h is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 31. Let k = 25 - 17. What is the remainder when k is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86568585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 3948?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 6*a - 31. Let z(v) = -2*v**2 - 5*v - 30. Calculate 3*r(n) - 4*z(n).\nAnswer: 2*n**2 + 2*n + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (61 + -21 - 1) + 71.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4137*p**4 + 15*p**3 - 160031*p - 2?\nAnswer: 49644*p**2 + 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*w + w - 29 = 0, 9 = -2*y - 3*w. Suppose -5*z = -4*n - 253, -3*z + 2*n = -y*n - 144. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 3}. What is prob of sequence wuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 11. Let d be i(10). List the prime factors of 7 - (-2)\/(-3 + d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 159.668611?\nAnswer: -798.343055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 395.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 712 and 21716?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7454, -14997, -22628, -30347, -38154, -46049?\n\"Answer: -44*y**2 - 7411*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d + 30. Let i = d + 31. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-27 + 41) - (91 - (-14 + 9)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) - (106\/(-6) + -3). Suppose 4*i - 39 = 3*y, -y - x = -2*i + y. Calculate the remainder when i is divided by 1\/(4\/(-6) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 34*o - 381. What is q(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 22*c + 64 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjmjjcjmjjmm. Give prob of picking 2 m and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 4550?\nAnswer: -4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270913.\nAnswer: 270913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*k = -66*k - 12. Suppose -12 = -k*m, -2794 = -x - 4*x - 3*m. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33633066?\nAnswer: 2, 3, 317, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (588\/1092)\/((-6)\/78) + 0 + (31 - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-143)\/(-52) + 253\/(-44). Suppose 6*h = 2*h, 0 = -2*g + 3*h. Let d = -1 + g. Which is the nearest to d? (a) -3\/2 (b) s (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 22 - -12 - -7 - 32\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333413 (base 5) to base 12.\nAnswer: -20a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1626 and 63414.\nAnswer: 63414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*i = 0, -o + 34 = -8*i + 5*i. Suppose 0 = -3*s - 2*k + 23, s - k - 3 + 2 = 0. Solve -3*v + o + s = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1508 + 292 = 5*x. Let o be 2 + (x\/(-35))\/6. Do o and 0.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onn. Give prob of sequence no.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19512?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 335\/(-7) + (15\/(-315))\/((-3)\/(-324)) + 6\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11 = -2*r, -79 = -0*r + 3*r + 5*g. Let a be (-8)\/(-18) - (-12)\/r. Is a equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.67 + -40.18. Which is greater: 0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12986102609 - -19.\nAnswer: -12986102590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbdboot. What is prob of sequence tdbb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 416\/18 + 58\/(-522). Suppose 314 = 5*s - 2*k, -4*k = s - 2*s + 52. Let r = s - m. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.2 (b) 4 (c) -10 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8476\/11 - -770. Let r = 18.4213 + 1.5787. Which is the third biggest value? (a) q (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - -2) + (-4 - -1). Suppose -f*n = -2*n - 8. Calculate the least common multiple of n*-2*(3 + -5) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssisssisssss. What is prob of picking 2 s?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1021 - 985. Let u = 621 + -540. What is the highest common factor of u and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 1004, 2272, 4048, 6332?\nAnswer: 9124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6 + 1600*s**5 + 7*s**4 + 2*s**2 + 5*s + 15 wrt s.\nAnswer: 120*s**3 + 96000*s**2 + 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 19, -200, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 12\/(-10)*25\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/3 - 245954*r\/3 + 15123342529\/3 = 0.\nAnswer: 122977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 695138.09198769+-2\nAnswer: 695136.09198769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - x**3 - 7 + 2*x**3.\nAnswer: -2*x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16285251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15447*g - 36482 = 16705*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 5*c)*(2*c**2 + 0 + 0) + (-3*c + 5*c + c)*(-2 - 2*c**2 + 2) + c**3 - 2*c**3 + 2*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 10*n**2 - 8*n + 4. Let m be a(-9). Let j = m + 10. Solve d - 4*g + 0 = 9, 2*d + 21 = -j*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13879 - 13879 - 582*l.\nAnswer: -582*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1042*f**2 - 12504*f - 6. What is v(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-21))\/((-122)\/30 + 0 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/2)\/(i**(-17)\/i)*(i*(i**(-1\/5)*i)\/i)**(-3\/13) assuming i is positive.\nAnswer: i**(2511\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -cc560a?\nAnswer: -cc5607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*j - 12 = 0, -10 - 4 = 2*f + 4*j. Let a(n) = -n**3 - 3*n**2 + 9*n + 15. Is a(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 29, -5, 22, -6.59?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 180, 365, 550?\n\"Answer: 185*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**21*(n*n\/(n\/((n**(3\/4)\/n)\/n)))\/n**(-8) assuming n is positive.\nAnswer: n**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -28115*p - 224573. What is g(-8)?\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002262 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2606723777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = a - 3*b, -4*a = 4*b. Let z(x) = 3. Let w(k) = -k - 4. Calculate a*w(m) + 3*z(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2520 = -6*k. Suppose -2142 = -13*x - k. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-6) - 1 - 5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -21. Which is the third biggest value? (a) 10 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -5 + (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3438 + 3430. Let u(p) = -p**3 - 9*p**2 - 13*p - 21. Give u(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 366.3 and -16930.\nAnswer: -16563.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from {y: 11, e: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3)*2\/1. Let s(y) = y**2 - 3*y. Let b be s(4). Suppose 3*c - b*l = 2*c - 11, 0 = 3*c - l - 11. Put 3, w, c in increasing order.\nAnswer: w, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1011 - -104?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.287487ns?\nAnswer: 0.00000000015479145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6878.\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.39 - 24.469. Let p = h - -1.0790489. Round p to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43712 - 4427 = 2071*p + 22*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 261 (base 11) to base 2\nAnswer: 100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -24, -145, -376, -753, -1312, -2089?\nAnswer: -3120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183*l*x**2 + 414*l*x - 5*l + 87*x**2 + 8*x - 1 wrt x.\nAnswer: 366*l + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**6\/240 - 13*r**5\/120 - 35*r**4\/16 - 57*r**3\/4 + 365*r**2 + 11*r. Solve x(t) = 0 for t.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 24, 0 = -4*w - 5*s + 535 - 525 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354 by -20745.\nAnswer: 118\/6915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(3\/7)*f))**33*(f\/f**(-7\/2)*f)\/f**(-1\/4) assuming f is positive.\nAnswer: f**(-235\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let r(i) = i. Suppose -5*n - 1 = 9. Let p(y) = -3*y. Let t(c) = n*p(c) - 7*r(c). What is o(t(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.886797ng?\nAnswer: 0.000007886797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {v: 4, b: 6, m: 1, d: 1, x: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16005.304 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27287900?\nAnswer: 2, 5, 272879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**2 + 7*b - 10. Let f(s) be the second derivative of -s**3\/3 - 3*s**2 + s. Determine 6*f(t) + 5*q(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3\/5)\/(l*l**(2\/15)*l))\/(l\/(l\/(l*l**(2\/17)*l))*l\/l**2))**(-34))**(-2) assuming l is positive.\nAnswer: l**(-3928\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.138.\nAnswer: -0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(-3 + -1). Let a(f) = 4*f - x*f + 0 + 0. Let i(t) = 51*t**2 - 43*t**2 - 9*t**2. What is i(a(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/3)\/k)\/(k\/(k\/(k*k**(3\/8))*k))*k*k**(-1)*(((k\/(k\/k**6))\/k)\/k)\/k)\/(k\/k**(-8)*k**(2\/5))**11 assuming k is positive.\nAnswer: k**(-12413\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**27*t**32\/t assuming t is positive.\nAnswer: t**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 11*k. Suppose p = 3*p - 4. Solve 10 = -p*w, -b - 2*w - 5 - 5 = k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 27*i - 28 + 4*i**2 + 5*i**2 - 6*i**2 + 11*i**2. What are the prime factors of z(-14)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 47638*f + 11814230. Give l(-248).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5140.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5662*g + 5692*g + 720 = 0 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = -8. Suppose 3*i + 4 + 7 = -2*g, -14 = -h*g + 2*i. Suppose 5 = g*f + 1. What is the greatest common factor of f and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k = 0. Let z = 367 - 268. Suppose k = -2*t - t + z. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123101 + -16617388\/135. Let v = -82\/27 + z. Calculate the common denominator of 91\/(-2)*3\/(-12) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -586 + 622. Suppose -3*j = -8*j + 25. Suppose -j*x = -5, -5*g + g - 4*x = -m. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r**3 + 12*r**2 + 2. Let h(u) = 47*u**3 - 33*u**2 - 5. Determine 3*h(w) + 8*z(w).\nAnswer: 21*w**3 - 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:14 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10080*h + 4*h**2 + 10779*h - 20853*h + 0*h**2.\nAnswer: 4*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*u - 225*u + 340*u - 4.\nAnswer: 431*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let y(o) = -18*o. Suppose 0 = -2*d - 2*j - 26, 18*d = 16*d + j - 32. Give d*n(f) - 3*y(f).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8 + w**2 + 1 - 3 + 10*w - 2*w. Let h be 160\/(-32) - 12\/12. What is o(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 9760692.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + 1 - 4*sqrt(304).\nAnswer: -13*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8153669, -8153640, -8153611?\nAnswer: -8153582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**42)\/h**13 assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeniqiienieeeeeeqq. Give prob of picking 1 q and 3 e.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -677 divided by -15\nAnswer: 677\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2888901818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -391827*b**4 - 477500.\nAnswer: -1567308*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 819.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let d(m) = m + 159. Determine d(x(b)).\nAnswer: 2*b + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 520*d**3*i**3 + 2*d**3*i*y - d**2*i**3*y + 60*d**2*i**3 + d*i**3*y - 36*d*i*y + 2*i wrt d?\nAnswer: 3120*i**3 + 12*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 616*h**2 - 11 - 2 - 7 + 17 to g + s*h + p*h**2 and give p.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r**2 + 0*r)*(-109*r - 93*r + 27*r - 68*r).\nAnswer: 243*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/36 and 71\/1174392.\nAnswer: 1174392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*n = 3*n - 2, -2*n = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55 + -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.075 + 5.075. Let b = 29 + -28.8. What is the closest to -8\/15 in s, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.04 - -0.04. Let j = 0.1 + 0.1. Let a = j - 0.4. What is the smallest value in y, a, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k - 4*l + 23338, l = 5*k - 23353. What are the prime factors of k?\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1531*d + 6 = 1530*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 126 - 126.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from quduhqbquybbqyu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 + 6040*c**2 + 419*c + 2 wrt c?\nAnswer: -40*c**3 + 12080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsypllslslb. What is prob of picking 1 l and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5768 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.59 - 0.49. What is the nearest to w in -1\/5, -3\/4, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158*m*o**2 - 638*m*o - 227*o**3 + o + 39 wrt o?\nAnswer: 316*m - 1362*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -6, 25 in descending order.\nAnswer: 25, -6, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46951, -93724, -140497, -187270, -234043?\n\"Answer: -46773*s - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 + 19813*z + 19812. Determine l(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76513m in millimeters?\nAnswer: 765.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*n + 4*n + 12 = 0, -3*l + 4*n = -10. Let z be (3 + -3)\/(l + 3). Let r(f) = -5*f - 2*f + 6*f - 8. What is r(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) 11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228*g**3 - 785*g**3 + 581*g - 581*g.\nAnswer: -2013*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*c*d**2*f + 2*c*d*f**2 + c*d + 2*c*f**2 - 596*f**2 wrt d.\nAnswer: 560*c*d*f + 2*c*f**2 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1400263 from -2850.\nAnswer: -1403113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muhm when four letters picked without replacement from {h: 3, u: 1, m: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (690\/4)\/3*(-260)\/(-50). Let u(k) = 3*k**2 - 7*k + 8. Let i be u(-7). Let a = p - i. List the prime factors of a.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by -73.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010733994 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -13) + -14 - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*f = 28 + 4, -s = 3*f - 13. Suppose -6*j = -116 - 58. Let m = j - 24. Solve m*w = -30 + s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129748 and 275018?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 119\/2*(-1 - -3). Let m = 12 + -64. Let y = o + m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from vvgvbvdbmmb?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93574889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*q - 15 = 0, -5 = -4*d + 4*q + 7 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 4*q + 48. Let k be l(-14). Let u = k + -393. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18019 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57 - 2?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5177, -10356, -15535, -20714, -25893?\n\"Answer: -5179*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282.\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*i + 15 = 0, 3*z - i = 2 + 17. Solve -3*n + 4*t - 17 = 0, -3*n + 3*t - z = 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.1 - 70.9. Let q = v + 68. What is the second smallest value in q, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 + 103.54146\nAnswer: 102.14146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38619*x - 38534*x - 2380 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:05 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjbfjdf. What is prob of sequence df?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -465.61 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -9152722.\nAnswer: -5\/9152722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6)*f\/f**(-5\/3))**33)**13 assuming f is positive.\nAnswer: f**(2431\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 43*w + 88. Let f be 6 + 4\/w*18. Put 2, -19, f in descending order.\nAnswer: 2, f, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 12*h**2 - 8*h - 45. Let i = 348 + -360. What is the smallest common multiple of 72 and b(i)?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000052542 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -325*j**2\/2 + 42*j + 37. Is d(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*j + 4512 = 140*j. What is the greatest common factor of j and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2. Let c(k) = 23*k + 29*k - 54*k. Calculate c(l(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/(8 - 316\/40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 5*h - 3*r + 84539, 0 = 3*h - 5*r - 50737. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -14*j**3 - 4*j**2 + 6*j + 6. Let q(n) = -n**3 - n**2 + n + 1. Let o(y) = -f(y) + 5*q(y). Let i be (-1)\/((-6)\/(-2) + -2). Give o(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 526691\/1976 - 5070\/19. What is the common denominator of ((-356)\/40)\/(-1 - -5) and v?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2829471 + 0.3.\nAnswer: 2829471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5*v**3 - 229*h**4*v**3 + 245*h**2*v**3 wrt h?\nAnswer: 60*h**2*v**3 - 5496*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -253349, 0, 2 in decreasing order.\nAnswer: 2, 0, -24, -253349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -545777*j**3 - 5359*j**2 - 131*j.\nAnswer: -3274662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*r - 2 + 3 + r - 3*r + r + (2 - 2 - 2)*(r + 1 - 1) - 2*r - 4*r + r.\nAnswer: -6*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 40 - 2. Suppose 0 = 2*v - 2*c - k, -2*v - c - c = 6. Calculate the lowest common multiple of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8812518 divided by 225962?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58867968281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155 - 591 - 1799 + 2*u to the form d*u + y and give y.\nAnswer: -2235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (180\/4)\/(-3)*(-5)\/(-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9119 - 9019. Let f(l) = 3*l + 3. Let t be f(5). Suppose 4*p - 2*d = t + q, -147 = -5*p + 3*d. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100 - 15*s - 91*s**2 - 102 + 3*s**3 + 204 - s**3 wrt s.\nAnswer: 12*s - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-15))\/((-112)\/168). Sort s, 0.1, -1, 2.\nAnswer: -1, s, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 91*p - 1316. What is d(-104)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224\/167 - -45306\/835. Let z = j - 56. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -21, -84, -183, -324?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20824 - -35159. List the prime factors of l.\nAnswer: 5, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 1. Let x be o(4). Suppose x*z + 4 = -4*a, -z + 24 = -3*a + 8. Solve 5*b + 2 = -4*p - 3, -2*p + 2 = z*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -3 (c) 0.3 (d) 0.442\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 16, 36, 64?\n\"Answer: 4*p**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5568378 + 5568261.00404. Let t = 117 + i. What is t rounded to four decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + (-23)\/4. Let p be 1*110*d\/(-15). Let g be (-6)\/15 + p\/10. Solve b + b = g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421 (base 9) to base 15.\nAnswer: 17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154948341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (207 - -4)*(-1 + 2). Let t = 2192 - z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.8, 2\/15, 629, -0.2, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8290\/(-2487)*(-63)\/10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 2*h**2 - h - 1. Let l be y(2). Let c = 3 + l. Solve 2*r - 10 = 0, 2*k + c*r - 13 = -r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -406, -4, -1.79?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(24\/(-40)))\/(1\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 3*n**2 + 2*n**3 + 5*n**3 - n**3 - n**3 + (0 - 2 + 3)*(-n**3 - 2 + 2) + 21*n**3 - 73*n**3 + 6*n**3 as l*n**3 + p + g*n**2 + q*n and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25930297993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 19 = -3*s + 167, 0 = -5*o - 4*s - 217. Let c = o - -50. Suppose -c*p + 2*p = -9. Solve -3 = -p*w + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - 103. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6443.971 - -0.031.\nAnswer: -6443.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 11*c**5 - c**3 + 153*c**2 - 80*c**2 - 77*c**2 wrt c?\nAnswer: -660*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 24 = -2*g, g - 2*q - 12 = -5*q. Let u(n) = 159*n - 1425. Let i be u(9). Solve i*p - 5*r = 2*p - 10, -2*p - g = r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*a**4\/4 - 679*a**3\/2 + 381*a**2 - 138*a + 16 = 0. What is a?\nAnswer: 2\/7, 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2670021384\/5 equal to -534004276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 562.7 - -41.3. Let n = s + -606.69. What is n rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18.49819 milligrams?\nAnswer: 0.00001849819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1, -6 in descending order.\nAnswer: 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 475593\nAnswer: 7\/475593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 24*j**2 - 3*j + 2. What is the units digit of m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 - 4*w. Let i be b(2). Let r = 27 - i. What is the remainder when 59 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10887 = 2*n + 10867. Let c(y) = -y**3 + 8*y**2 + 15*y - 3. Calculate c(n).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12\/(-6) - ((-13 - 196) + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1. Let p(l) = 6*l + 6. Give -5*c(f) + p(f).\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - (-71)\/3. Let s = -193 + 229. What is the greatest common divisor of s and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1845707.661 seconds to weeks.\nAnswer: 3.0517653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 - 24*i + 4. Let f be n(8). Find the third derivative of -132*l**f - 74*l**4 + 22*l - 19*l + 69*l**2 wrt l.\nAnswer: -4944*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100100100000?\nAnswer: -100100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + sqrt(22)\/sqrt(2) - (1 + sqrt(99) - sqrt(99)))*-5)**2*-2.\nAnswer: -2350 + 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*w - 20 = 0, -2*m + m - 9 = -2*w. Let x(u) = -u. Let c(h) = -h + h + h - 4 + 4. Calculate m*x(t) - 5*c(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.918 + 0.948. What is the third biggest value in 4, 3, r, 73, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - 6. Let z(u) = 4*u - 5 - 6*u - 2*u. Suppose -2*d = 4*d + 18. Determine d*x(w) + 4*z(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 + 173. Suppose -u*z = -92 - 88. Let f = 147 + -77. What is the greatest common divisor of f and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172436184.\nAnswer: 2, 3, 167, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w**2 - 6*w + 3. Let x be i(-10). Let b be x\/13 + (-8)\/(-52). Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/((9\/72)\/(2\/12)). Let z(s) = -9*s + 50. What is the hundreds digit of z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3900)*1)\/((sqrt(3) - sqrt(3)*2)*1) - ((-2*(-1*sqrt(65) + sqrt(65) + sqrt(65)))\/(sqrt(405)*2) + 1))**2.\nAnswer: 178*sqrt(13)\/9 + 103054\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((164\/(-984))\/((-1)\/(-9)))\/((-45)\/1470)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-246)\/(-4)*28134\/64083.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -17. Suppose y*d = 5*d + 2. Let u be -5*(d + 3 - 2). Solve u + 1 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 - 16. Let n be s(0). Let l = -10 - n. Solve -l = h + 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1256, 2646, 4962, 8204, 12372, 17466?\n\"Answer: 463*b**2 + b + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 2 - 12*w**4 + 3*w**4 + 4 - 3*w**2 - 3*w - 4*w**4 to the form g*w**4 + m*w + n*w**3 + s*w**2 + b and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -3 + (-10 - 2). Let m be 9\/6*(-8)\/6. Let j = m - a. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81626, 163252, 244882, 326516, 408154, 489796?\nAnswer: 571442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1093767, 1093766, 1093765?\n\"Answer: -v + 1093768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4448, -8898, -13348?\nAnswer: -17798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.1. Let u = 0.2 + q. Let p be 18\/9 + (-5)\/3. Which is the second biggest value? (a) u (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Let r = -1 + j. Let c be (r\/2)\/(1\/2). Solve c*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 divided by -54.\nAnswer: -43\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10350000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 34. Solve -12 = -2*c + 4*r, 5*r = -2*c - k - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 2, a: 2, l: 1, z: 8, q: 1}. Give prob of picking 2 x and 1 z.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84248 - -121147. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 122625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*s, 4*b = -s + 2 + 32. Solve 10 + b = -3*v - w, -5*v - 4*w = 37 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*q = 3*t - 219, 3*t = -4*q + 721. Let v = t + -208. Solve 2*b + v = 5*b + 3*u, b = -5*u + 29 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -429838\/11 - -39110. Suppose 0*g - 4*g - 4 = 0, 71 = -2*v - 3*g. Let o = v + l. What is the third biggest value in 0.1, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.3 less than -2104424?\nAnswer: -2104463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602848 is divided by 228933.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218138 - -218142. Let m = 0 + 0.2. Sort g, 3, 16\/5, m in descending order.\nAnswer: g, 16\/5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 33 + 3. Let u be (2\/w)\/((-5)\/(-10)). Solve 0*v + u = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196951?\nAnswer: 37, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9771 is divided by 9678?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -20*p + 121. Let d = 4 - 3.9. What is the third smallest value in d, p, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 221*x + 225. Let m be s(-1). Let f(i) = -i**3 + i + 29. Let q be f(0). Solve 5*z = -m*n - q, 2*n = -2*z + n - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2. Let m(l) = -23*l. What is m(q(o))?\nAnswer: 92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/237589 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*j = -4990 + 4959, 0 = 3*y - j - 8 + 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f - 13*f + 6868 = 0. Let w = 623 + f. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 6*o**2 + 3*o - 7. Calculate z(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*d + 49*d + 69*d - 2394 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 1. Let h(y) = 1 - 8*y - 12*y + 14. Suppose -u - 18 = l, -3*l + 78 = -8*l - 2*u. Let x be (-10)\/l - 5000\/(-350). What is x*a(q) + h(q)?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495335929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15 = -3*n, -6*d - 3*n = -4*d - 5. Suppose -d = -3*o - 1. Suppose 2*z - 20 = z + 5*g, o*z = 5*g + 40. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -386 - -434. Let z be (-2)\/12*(y + -49). Let j = 3\/7 - 16\/21. Which is the third biggest value? (a) j (b) z (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -108*i + 113*i + 5*k, 6 = i - k. Solve -102*w = -105*w - 3, i*w + 22 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -2 - (-7 + 0). Find d, given that 0 + 9*d**2 - 16*d**2 - 15*d**3 - 28*d**x + 20 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/7, 19 in descending order.\nAnswer: 19, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.375581 micrograms in grams?\nAnswer: 0.000003375581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - y + 4*y = 1, 3*y = -4*q - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3305305712834 + 0.432.\nAnswer: 0.7625305712834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112124 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51261728 to the nearest integer?\nAnswer: 7160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 u when four letters picked without replacement from {b: 1, t: 2, u: 5, y: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-16 + 9 - 1)*(3 + 1 - 3) + (2 - 2 + 1)*(-1 + 4 - 2)*(-5 + 5 - 1))*(-64 - 5*p + 64).\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 3*z + z. Let d(b) = -b**2 - 17*b - 2. What is the units digit of d(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311+10961566\nAnswer: 10961255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6130.7882887738 - -3.2307183262. Let k = 6134 - x. Let l = k + 0.019. Round l to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/20))**(-37)*(b**(1\/16))**(33\/4))**(-12) assuming b is positive.\nAnswer: b**(-2271\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 3 + (-6 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -53. Solve a = f, -6*z = -3*z - 3*f - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -547 - -546.5. What is the biggest value in -3, -0.3, -6\/5, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 + 399. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.75 + 35.25. Let n = g - 36.000000292. Round n to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322502 is divided by 4552.\nAnswer: 3862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 120\/(-48))*(29 + -1). Which is the smallest value? (a) -1\/8 (b) 2\/9 (c) 5 (d) -2\/9 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3028027.84 and -106.\nAnswer: 3027921.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3475016471?\nAnswer: 661, 929, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4212578252 - -34.1.\nAnswer: 4212578286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 8*d + 65. Calculate the least common multiple of i(-13) and 16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 0 - 2858*u + 1432*u + 0 + 1424*u. Let t(h) = 110*h**2 - 1. Give n(t(v)).\nAnswer: -220*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) + -1*-1*sqrt(9072) + (sqrt(9072) + 1*sqrt(9072))*-4)\/((sqrt(729) - (sqrt(729)*-1 - sqrt(729)) - sqrt(36)*-6)*2).\nAnswer: -12*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*o = -112, -3*s - s + 112 = 3*o. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32181065 a multiple of 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d + 3. Let n(f) = 39*f + 564. Determine -n(v) + 6*o(v).\nAnswer: -3*v - 546","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 + 18*a**3 + 1104*a**5 + 84*a - 1108*a**5 wrt a.\nAnswer: -80*a**3 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 177*r - 2480. Calculate z(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 11 = h, -4*h = 5*y - 47. Let o be 77 + -2 + 6 + -3. Let g = 26 + o. What is the lowest common multiple of g and h?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 36*z + 68. Suppose -8*i = -s - 5*i + 40, -76 = -2*s + 4*i. Let d be h(s). Are 12\/19 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:47 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 409 = 2*x, -4*x + 50*r + 804 = 46*r. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-11427.\nAnswer: 45708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l**2 - 4*l**2 - 4*l**2)*(0 - 1 - 1) + 0*l**2 - 2*l**2 + 3*l**2 + l**2 + 2 - 2)*(0*l - 2*l + 0*l).\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -417 + -15.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2050*y**4 + 2*y**3 + 55*y**2 - 37298*y - 5 wrt y?\nAnswer: -24600*y**2 + 12*y + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1112001022112201?\nAnswer: 1112001022112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4\/7))\/q**(-9\/2) assuming q is positive.\nAnswer: q**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -155355\/146 at most as big as -1064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooos. What is prob of picking 2 o and 1 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 19. Let k be (3\/15)\/(g\/30). What is the nearest to 1 in -2, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(5*k - 6*k + 5*k) - 3*k + 4*k + 2*k + (46 + 75 - 164)*(-k - k + 0*k).\nAnswer: 93*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 3)*(-2 + 3 + 1)*(3*t**2 - 4*t + 4*t).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -8, -32, -66, -110?\n\"Answer: -5*d**2 + d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 142667\nAnswer: 142667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/1 - (-6)\/2. Let d = s + -13. Suppose 9*a**3 - 3*a**2 + 3*a - d*a**2 - 8*a**4 + 5*a**4 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 105\/(-5)*1\/(-7)*(-11)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98003 is divided by 9794.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = p + 2, u = -4*p - 4 + 2. Suppose 0 = -p*d - 2*d - 13600000. What is d rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/78 + ((-3234)\/273 - -12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*i = 13, -g - i + 2 = 1. Suppose -x + 2*x = -g*a - 1, 50 = 5*x + 4*a. Solve 2*s - 5 = -5*j, -5*j + x + 16 = -3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) 1 (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/((-12)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w - 231 + 147 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1461198 or -1461242?\nAnswer: -1461242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626593563.\nAnswer: 7, 107, 199, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*g + 4 = 0, -4*g + 6 = 2*p - 0. Let m = p - 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*n - 56604, 3*c - 32048 - 81155 = -4*n. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:59 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.3 times 0.045?\nAnswer: -11.4435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2.4, -4\/7, 0.047, 1 in descending order.\nAnswer: 1, 0.047, -4\/7, -2.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1, 2, -18 in increasing order.\nAnswer: -38, -18, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30723818 and -1237.\nAnswer: -30725055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -7\/4*m**3 + 0*m + 6 + 1\/8*m**6 + 3\/4*m**2 - 3\/4*m**5 + 27\/16*m**4. Factor c(d).\nAnswer: 3*d*(d - 2)*(d - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z - 9. Let c = 227 + -234. What is y(c)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/184260900 and 41\/491362400?\nAnswer: 1474087200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22100743 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 16923\/13 and 1301 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/10079 + 251941\/171343. Find the common denominator of 17\/10 and n.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608562.\nAnswer: 2, 3, 33809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -16 - 16 - -9) + (1 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**8\/s))\/(s\/(s**(-7)*s)*s*s)*(s**0)**(2\/7))\/((s*s**(1\/7)*s**(-1\/7)*s)\/(s**(1\/4))**(-6\/7)) assuming s is positive.\nAnswer: s**(-227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 179. Let x be c(0). Let s = x + -273. What is the remainder when ((-1)\/(-1))\/((-2)\/s) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 30 - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 3*x + 1. Suppose -4*f - 6 = -6*f. Give n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42, 93, 178, 297?\n\"Answer: 17*y**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 375 - 317. Calculate the remainder when 60 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.281434ml in litres?\nAnswer: 0.007281434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3 - 11*q**2\/2 + 14*q - 79. Suppose -2*o + 20 = 2*o. Let g(k) = k - 3*k**2 - 8*k + 13 - 4 + o*k**2. Give 8*g(s) - 5*h(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -5, 7\/4, 7?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*d = -20, -3*q - d = 8*d + 36 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90293183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (3 + (5 - 3)) - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41386 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/4 - 3963*n**4\/4 - 1333597*n**3\/2 - 665808*n**2 = 0. What is n?\nAnswer: -3104, -858, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 15. Suppose c = -4*c + a. Let s = c + -2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-10)*w)\/w)\/(w**(-9)*w))**11 assuming w is positive.\nAnswer: w**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-7 + -23)) + (1 - 9) + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*m = 8, 0*h - 3 = -3*h - 3*m. Let s(a) = -a**2 + 6*a - 12. Let f be s(h). Let g(y) = -y + 4. Is g(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 0.08246182?\nAnswer: -3.91753818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 - 122. Is n bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 7:01 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 6:16 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.1. Suppose 0 = 118*j + 5*j + 246. Sort y, j, -1 in descending order.\nAnswer: y, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3230632599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2509 and 51\/7?\nAnswer: 17563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -3 - (44 + -47)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 = -4*v + 47, 2*k - 4 = 0. Is (-596)\/(-16) - 2\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -12. Let o(x) = -5*x**2 - 3*x - 3. Let i be o(-2). Let p = 1 - i. Calculate the least common multiple of p and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9950*d - 9950*d + 938*d**2 in the form u*d + k + w*d**2 and give w.\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146016696 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - (-696)\/15. Suppose -2*r = -68 - l. Let z be ((-3)\/(-9) + 0)*r. Calculate the highest common factor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8016888 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58.4 - 4.88. Round u to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*f + 97 = 0, 3*x + 4*f + 526 - 605 = 0. Let r(t) be the second derivative of -x*t - 2*t**2 + 4\/9*t**3 + 0 - 1\/36*t**4. Factor r(b).\nAnswer: -(b - 6)*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:42 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614698138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2164815889 and -47656.\nAnswer: 2164768233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 507*p - 4101. Calculate v(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Let r = 54 + -55. Put 5, g, r in increasing order.\nAnswer: r, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - -2?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 + -225 + 7 + 1 + -19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25060 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3)*((-666)\/(-162) - (-2)\/9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5513 = -13*o - 664. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001021 - -12101012201?\nAnswer: 12100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llllcslssllllcss?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {d: 5, u: 9, a: 2}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2100879*w**2 + 756845*w - 3?\nAnswer: -4201758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -311\/616 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*q = -0*d + 44, 2*q + 48 = 6*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 (base 11) in base 9?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) - (0 + 0). Let k = -4 - t. Suppose -5*f + 0 = -25. Sort f, -4, k.\nAnswer: -4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/1)\/(5 + -4 + -3). Let v(k) = -k**2 + 7*k + 11. Let s be v(8). Solve 2\/5*l**s + i + 2\/5*l - 4\/5*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x + 4*f, 2*x = 3*f + 1 + 5. Suppose -3*t = -d + 24, 2*t + 73 + 34 = 5*d. What is the remainder when d is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1123*z**2 - 132*z + 19. Let j(y) = 562*y**2 + 61*y - 9. Determine -13*j(q) - 6*v(q).\nAnswer: -568*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 13*v**2 - 2*v + 33. Let i be a(13). Solve -g - i = -8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 768*b - 124985. Let x(g) = -2*g. What is x(y(w))?\nAnswer: -1536*w + 249970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/8)\/(3\/(-1704)). Let u = t - -170. What is the greatest common factor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2, 6, -1478860, -3 in ascending order.\nAnswer: -1478860, -3, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 921647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (53730\/(-35820))\/(1 - 38\/5)?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 3406080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 584\/(-876) + 6184\/924 - 6.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 - v + 6. Let z(o) = 5*o**2 - 6*o - 4. Let b(u) = -7*u**2 + 8*u + 5. Let x(w) = 3*b(w) + 4*z(w). What is r(a) + 6*x(a)?\nAnswer: -a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:36 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3784, -7733, -11844, -16117, -20552, -25149, -29908?\n\"Answer: -81*r**2 - 3706*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4157, 4012, 3771, 3434, 3001, 2472?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 35.999909. Round b to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33735263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 966322727 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3153*c + 3152*c - 6305*c + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(30)\/(sqrt(6)*2) + -3 + (sqrt(560) + sqrt(35))\/sqrt(7))**2.\nAnswer: -36*sqrt(5) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, 16639, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5520 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -38. Find the first derivative of -36 + n*s + 4*s - 8*s + s**4 wrt s.\nAnswer: 4*s**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097291991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 5*w. Let t = -21 - -39. Suppose -10 = 3*o + 3*g - 1, 0 = -o + 4*g - t. Let p(r) = -4*r**2 + 3*r. What is o*l(u) - 10*p(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**3 - 628*y**2 + 8300*y.\nAnswer: -6*y - 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 199, 1 in increasing order.\nAnswer: 1, 82, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from {b: 2, e: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2799 = i - 5*s, -s + 5642 = 2*i - 0*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i + 5. Let g be q(-1). Is (4 + g - -3) + 294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27470339 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-4))\/(-4*300\/75*9\/96)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 739671 and -4.32537?\nAnswer: 739675.32537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5\/2 - 591*t**4 - 45405*t**3 - 1261824*t**2 - 21659979*t\/2 + 27080019 = 0.\nAnswer: -303, -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*l**3 - 7*l**2 + 7*l**2)*(-3 + 1 + 1)*((-l + l - 7*l)*(-3 + 0 + 4) - 3*l + 3*l - 2*l) to the form q*l + s*l**2 + g*l**4 + t + b*l**3 and give g.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 566, -86, -6, 3 in ascending order.\nAnswer: -86, -6, 3, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194 - (39 - 30)) + 71.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/14 + (-2)\/7. Let l be ((-8)\/p)\/(2\/3). Let t be l\/(-10)*((-5)\/15)\/1. What is the third biggest value in -0.3, t, 0.4, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*h - 12, -3 - 1 = 3*t - 5*h. Let i = -12\/5 - t. Factor -27\/5*r**3 + i*r**4 - 81\/5*r + 81\/5*r**2 + 0.\nAnswer: 3*r*(r - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*p + 6, 3*p - 15 = -f + 6*f. Suppose 5*v = -g + 479 + 174, p = -3*g + v + 1879. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*g**3*j*z**2 - 2*g**3*z**3 - 3*g**3 - 60*g**2*z - g*j + 2*j*z**3 + 2*j wrt g?\nAnswer: -456*j*z**2 - 12*z**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 36. Let v = 1 + -1. Let z(k) = -1 + 0*k - 2*k + 7*k**2 + v*k. Give z(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 3. Let h be w(-3). What is r in 0 - h*r**2 + 1 + 2*r**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3363757, -6727511, -10091265?\nAnswer: -13455019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94932 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 44.12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*27\/360*(-7 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 2659343 + 371903 = -41*u. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*x - 76, x + 2*x + 117 = 5*j. What is the highest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1163, 2328, 3505, 4700, 5919?\nAnswer: 7168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 969*b**4 + 2*b**2 - 42981 wrt b.\nAnswer: 3876*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40741960, -40741964, -40741968, -40741972?\nAnswer: -40741976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 157*r**6\/30 - 73*r**5\/60 + 353*r**2. Find the third derivative of x(p) wrt p.\nAnswer: 3768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-14)*112\/(-12). Suppose -3*c = -c. Suppose 4*y - z - 68 = c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278044.97 rounded to the nearest one hundred?\nAnswer: -278000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 2*q + 8. Let f be p(4). Let o = 4 - 0. Suppose 3*b - 4*b + o = f. Solve -2*n + n = -b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0511? (a) -5 (b) 0.11 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1359 + -704. Let r = 654.8 - m. Put r, -1\/4, 9, 2\/9 in decreasing order.\nAnswer: 9, 2\/9, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddd when four letters picked without replacement from eyddeeeddeye?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126054, -126051, -126048?\nAnswer: -126045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -597, -1364, -2131?\nAnswer: -2898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (41 - 20) - -5) + -39?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 39 = -29 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.0169?\nAnswer: -0.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1288128 and 8112?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10064 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 9 - ((-2415)\/10)\/23\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3445 = -10*g + 3505. Put -4, -3, g in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(3*b - 2*b**3 - 2*b - 3 + 2).\nAnswer: 6*b**3 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/(-14))\/(-18)*-7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/2)\/(28\/1680*30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:28 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 2, l: 2}. Give prob of picking 1 l and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2188.\nAnswer: -3\/1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weveeepvlvlveeeeve. What is prob of picking 1 l, 1 w, and 2 e?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 14*d**2 - 14*d - 21. Calculate z(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15671 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 194670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 42*p. Let q be w(-14). Suppose -a + 2799998 = -q*j + j, 0 = -3*j - 6. Round a to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 30*o**2 - 81*o + 54.\nAnswer: -3*(o - 6)*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -13*k - 63\/5*k**5 + 2 - 1\/2*k**2 - 37\/3*k**3 + 0*k**4. What is the second derivative of t(w) wrt w?\nAnswer: -1512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z - 148 - 196 = 47*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -6*a - 20. Suppose -4*b - f = -20, -a*f + 0*f = 5*b - 25. Solve -b*n = 2*x - 1 - 1, -5*n - x = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.29 - -0.21. Let l = -6.5 + g. Let r = -15\/4 + 21\/4. Sort 2\/9, r, l.\nAnswer: l, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -147761*b. Let l(d) = 4*d. Give l(t(a)).\nAnswer: -591044*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -631 + 632. Let q be (18\/8)\/((-21)\/56). Let l(i) be the second derivative of -i**2\/2 + 21*i. Let v(m) = m - 8. Calculate b*v(u) + q*l(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-20)\/u)\/(u\/u**17)*(u\/u**(-1\/5))**(-2\/3))**(-48) assuming u is positive.\nAnswer: u**(1392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -7\/22*z**4 + 0*z + 3\/11*z**2 - 85 - 2\/33*z**3 + 2\/11*z**5. Factor q(t).\nAnswer: 2*t*(t - 1)**2*(5*t + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 729119b + -4?\nAnswer: 7291197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413375836.\nAnswer: 2, 1621, 217979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219557 - 4816202351\/21936. Let i = 1842613\/241296 + t. Let n = i - 398\/55. What is the nearest to -1\/3 in n, -1\/2, -4\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*k + 51, 0 = -2*b - k - 0*k + 27. Solve -4 = -2*r + 2*a + 4, 3*r = -5*a + b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2419\/3 != -807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in decades?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((-9)\/(18\/28))\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 3749.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4*y*y*y**5*(y**(-1\/4))**44 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748695 by 19.\nAnswer: 39405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51.131 and -0.0267.\nAnswer: -1.3651977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 973980 and 6211828.\nAnswer: 279532260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.8, 0.2, 4, -2, -0.27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*q = 2*u - 30, q + 3 = 4*u. Let y(a) be the first derivative of 0*a**u - 2 + 2\/25*a**5 - 1\/10*a**4 + 0*a + 0*a**3. Factor y(r).\nAnswer: 2*r**3*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 311 + 985. Suppose 9*l = l + g. Let h = l - 68. Calculate the remainder when h is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 6*l - 19. Let p = 37 - 41. Let g be k(p). Suppose 29*j = g*j - 504. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.1448 months to decades.\nAnswer: 1.35954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 47. What is the first derivative of -5*h + x + 5*h + h**3 + 27 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/2*1\/(-5). Let w = 75.1 + -74.8. What is the biggest value in q, -3, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*x + 0*x + 18 = 0, -2*h - 10 = 3*x. Calculate the remainder when (2 + -2 - -4) + -1 is divided by 14\/4 - h\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0*h - 1\/42*h**7 + 0*h**3 + 0*h**6 - 2*h**2 + 0 + 0*h**5 + 3\/8*h**4. Find the second derivative of w(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -76.\nAnswer: -5\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmeeeinibbe. What is prob of sequence mbii?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5338 - -2.5338. Put 0.1516, s, 0.1 in descending order.\nAnswer: 0.1516, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 3. Let s be k*-3*(0 + 1). Solve -4*h + 5*j = 4*j - 9, 4*j = -3*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 11*w + 22. Let i be f(7). Let k be (i\/(-4))\/((-8)\/(-80)). Suppose -k*q + 92 = -11*q. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32716897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792005 and 873?\nAnswer: 7128045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65012 is divided by 13835.\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159224887.\nAnswer: 16127, 71881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66077.75ng to grams.\nAnswer: 0.00006607775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(17) + -1)**2)*-2*4 + (4*sqrt(833)*-1 + sqrt(833))**2 + (-1*sqrt(833))**2*-6.\nAnswer: 16*sqrt(17) + 2339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:17 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*x - 97, 21 = t - 0*t + x. Let a(f) = -f**2 + 15*f + 38. Let i be a(t). Suppose -i*s = -288 - 332. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/9 + 7090*g**4\/9 - 52222*g**3\/3 + 1005454*g**2\/9 - 1569280*g\/9 + 237800\/3 = 0?\nAnswer: -3567, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 6*q - 3*q)*(2*q - 4*q - 2*q) - 1 + 1 + q**2 + 16 - 8*q**2 + 0 + 11*q**2.\nAnswer: -8*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 653 divided by -5.\nAnswer: -653\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10101192 or 50505967\/5?\nAnswer: 10101192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + g**2 + g. Let l be d(2). Let r be (-4)\/l + 7\/20. Put 0.1, -0.4, r in descending order.\nAnswer: r, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34991722 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*o - 1\/3 + 0*o**3 - 1\/3*o**4 + 2\/3*o**2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.00527 rounded to two dps?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2139956, 8560000, 19260072, 34240172?\n\"Answer: 2140014*k**2 + 2*k - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1253208*i**5 + 2819734*i**4 + 313338*i**3 - 2819714*i**2 - 1566546*i - 20 = 0.\nAnswer: -5\/4, -1, -2\/156651, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126358057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -16*g + 14*g. Let x = g + 55. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4001*f - 1124595. Determine z(-281).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -69496 + 0*g**2 + g**3 + 69469 + 5*g**2 - 6*g. Let i be (5\/(-3))\/(1\/3). Let f be h(i). Let o(x) = x + 4. What is o(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.56 (b) -1\/4 (c) 1\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 9*q**2 + 6*q + 9. Suppose 0 = 2*n + 2*n + 60. Let x = n + 7. Is a(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/21 - 2\/(-3). Let c(k) = 1 + 0 + 5 - k**2 - w - 2*k. Give c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/90 and -47\/84.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6150530?\nAnswer: 2, 5, 615053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.146783 rounded to one decimal place?\nAnswer: 114.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - -8 - (15 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4177.\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 15. Let t be (-7)\/(-1) + (-4)\/d. Suppose -w - 3*j = 2*w + 12, 20 = -t*w + 5*j. Which is the closest to w? (a) 2\/7 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 0.0924079.\nAnswer: 0.7392632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.82, 4\/5, 31\/22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, o: 7, r: 3, p: 1}. What is prob of sequence forf?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0315 - -30.4685. Let s = -30.50313 + z. What is s rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y - 6*y**2 + 6*y**2 - y**2 + (2 + y - 2)*(2*y + 0*y + 0*y).\nAnswer: y**2 - 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206308 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2\/2 - 117*f - 235\/2 = 0.\nAnswer: -1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10988 divided by -2\nAnswer: 5494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/11, -0.2, 36\/107, -0.4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 8*z + 0*z)*(5*z - z - 2*z)*(4 + 19 - 4).\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -25. Suppose 2*l = -y*s + 4 - 25, 0 = -3*l + 3*s - 39. Let z be (-225)\/2*16\/l. What is z rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/33 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10302273, -20604544, -30906815, -41209086, -51511357?\n\"Answer: -10302271*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 15 + 5, 3*k - 2*s = 80. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - 6*b. Let t = -9 + 22. Let x = t - 18. Let m(h) = 4*h - 5*h + 6*h + 4*h**2. What is x*c(i) - 6*m(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-3)\/9 - -1. Let a be ((-6)\/2 - 11)\/(-2). Let d be ((-2)\/v)\/(a\/(-42)). Calculate the greatest common factor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = -2*s + 14*u + 19, 2*u = -3*s + 21. Solve s*a + 20 = 0, 0 = 3*g + a - 3*a - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352960 is divided by 216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 + 22*b**2 - 2*b**2)*(-4*b**2 + b**2 + b**2) - b**2 + b**2 + b**4 - 19*b + 19*b - 2*b**4 + 3*b**3 + 5*b**4 + 0*b**4 - 2*b**4)*(1 + 2 - 1).\nAnswer: -72*b**4 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlwl. What is prob of picking 1 d and 2 l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 4*g**2 + 390 - 389 + 3*g + 2*g**4 to u*g + c + l*g**2 + d*g**4 + b*g**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454\/8519 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2506 and 10416189.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0*j + j + 2*j. Let h = 5 - -9. Let k(m) = -10*m. Let r(b) = h*v(b) + 4*k(b). Let s(c) = 2*c**2. Give s(r(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(((-8)\/(-68))\/(-1)). Let p = b - 13. Let y(v) = v**3 - 5*v**2 + 5*v - 7. Let t be y(p). Let a(n) = n**2 - 2*n + 3. Determine a(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*m + 80, 0*l + 4*m = -l - 30. Let w be ((-15)\/l)\/((-18)\/(-15)). Which is the second biggest value? (a) -1 (b) -0.04 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7694396 divided by -265324?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 124851 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*1*sqrt(35))\/((sqrt(7) - sqrt(112))*3 + ((sqrt(105)\/sqrt(3))\/sqrt(5) - sqrt(7))).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872) + -2 + (sqrt(1872) + -1*sqrt(1872)*4 - sqrt(1872)))**2 - ((sqrt(104)*-3)\/sqrt(8) - (sqrt(832) + -4*sqrt(832)))**2.\nAnswer: 144*sqrt(13) + 11119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (158\/16 - -1)\/(9141\/(-44)). Does b = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8269143 meters?\nAnswer: 0.0008269143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -6.1. Let q = 2 + m. Sort 5\/3, q, 5 in increasing order.\nAnswer: 5\/3, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -1 - (5 + -9). Let v = s + -7. Let k = v + 9. Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26253 and 40102916.\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - -3359. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.2 (b) 5 (c) -3\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30299 is divided by 5386.\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170256798857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.14 + -11. Let f = 0.04 - 0.1. Let o = m - f. What is the second biggest value in 0.4, 5, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 1588452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 9303486?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.008 and -12.13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c**2. Let n be 34\/(-85) - 137\/(-5). Let x(a) = n*a - 20*a - 13*a. Calculate z(x(b)).\nAnswer: -432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-12))\/((-36)\/(-3908466)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1771 is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/6*-6*2\/(-8). Solve 4*y - 5*p = 2*y + 18, 12 = 4*y - s*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dguumpgl. Give prob of sequence pu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/143163971?\nAnswer: 6\/143163971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 453337455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1290, -1293, -1300, -1311, -1326, -1345, -1368?\n\"Answer: -2*a**2 + 3*a - 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 15*m**2 + 19*m + 23. Let i be z(16). Let k be i + 0 - (-2)\/(-2). Suppose o + 2*u - 4*u - 29 = 0, 2*o + 2*u = k. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 16*m - 18*m - 7 + 11 + 0*m**2 + 3*m. Determine s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = -20. Let r(i) be the first derivative of i**4\/4 - 4*i**3\/3 - 7*i**2\/2 + 7*i - 2. What is r(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/7 + (-4)\/14. Let p be (y\/(-7))\/((-216)\/(-112)). Suppose -t - 10 - 1 = 4*c, 0 = -t + 3*c + 10. Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 345503176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2501, -6, 1 in descending order.\nAnswer: 1, -6, -2501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35136, 34531, 33926, 33321, 32716, 32111?\n\"Answer: -605*z + 35741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 712167593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (800\/1900)\/((-10)\/(-3040))?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q - 21*q**2 + 17*q**2 - 2*q wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662482 a multiple of 586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3452, 39, 2\/275, -4\/7, -2\/7?\nAnswer: -3452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -30*b**2 - 339*b - 878. Calculate l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/264 and -53\/505728.\nAnswer: 5563008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367864931?\nAnswer: 7, 52552133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1097230 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - 8 - (-1 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8032433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4945, 9852, 14759, 19666?\nAnswer: 24573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1734, 145, -1458, -3075, -4706, -6351, -8010?\n\"Answer: -7*v**2 - 1568*v + 3309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 4*t + 6*t)*(-37*t**2 + 37*t**2 + 21*t**4) + (-t**2 + 3*t**2 - t**2)*(1 + 5 - 4)*(-4*t**3 + 0*t**3 + 2*t**3).\nAnswer: -25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9318*y**4 + 4224*y**2 + y - 2 wrt y.\nAnswer: 223632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4504 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*k = 0, h - 207*k - 12 = -203*k. Solve 0*q = 2*q - 2*t - h, 0 = 5*q + 5*t + 40 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 5, c: 1, g: 1, w: 1}. What is prob of picking 1 o and 1 b?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 250, 1958, 6586, 15592, 30434, 52570, 83458?\n\"Answer: 243*u**3 + 2*u**2 + u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/10, -3, 0.1, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - b - 856 = 0, -11*g + 7*g + b = -3418. Calculate the highest common factor of 610 and g.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.087 - -518701628\nAnswer: 518701628.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.03, -0.15, -1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*l**3*r**3 - 9*l**3*r**2 - 75*l**2*r + l*r**3 - 3*r wrt l.\nAnswer: -120*r**3 - 54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - s - 8 = 0, -3*v - 15*s = -11*s - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 + 50)*(3*q - 6*q + 4*q).\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, v: 2}. What is prob of picking 1 h and 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 2)*(-1 - 3 + 0)*(3 - w - 3).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -75279.26 rounded to the nearest 10?\nAnswer: -75280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1\/3 (b) -0.2 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165143.\nAnswer: 11, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 843 + -836.29. Let c = a + -6.2. Round c to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 33 - (1 - -3) - -17 - (25 + 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(3 - (-27)\/(-12)). Suppose 12 = -4*f + j. Let y be (15 - 1)\/((-4)\/f). Round y to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.1 + 14.1. Let c = 0 - 1. What is the nearest to c in -4, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 64bdd2?\nAnswer: 64bdd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8079.311 centimeters to nanometers.\nAnswer: 80793110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4223 - 4219. What is the closest to -2\/11 in -4, -24, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfiuulliuufluue. What is prob of sequence ve?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t**2 - 52*t - 157. Let b(r) = 5*r**2 - 26*r - 78. Let q(l) = -5*b(l) + 3*i(l). Let z be q(-4). Solve -3*p - 22 + z = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/l**0*l)*l**6)\/(l**8\/l*l**(4\/5)))**15 assuming l is positive.\nAnswer: l**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75333 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4285.00939 rounded to the nearest ten?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/9)\/(h*h**5)*h**(-2)*h*h**0 assuming h is positive.\nAnswer: h**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-9)\/18)\/(15\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518203539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190\/31 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.88, -3, 10, 5, 3\/4, -2\/875 in decreasing order.\nAnswer: 10, 5, 0.88, 3\/4, -2\/875, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 0. Suppose 2*j - 3 = 3*k - 9, j + 4*k = q. Calculate the lowest common multiple of j and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 857 - 183?\nAnswer: 6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/10 + 71\/30. Let q(g) be the first derivative of l*g**5 - 1\/6*g**4 + 0*g + 4 + 0*g**2 + 0*g**3. Determine k, given that q(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. What is the lowest common multiple of i(-6) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6213 + 1?\nAnswer: -6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**2 + 245. Let d(c) = 395*c**2. Determine z(d(i)).\nAnswer: -790*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -22953*t + 596782. Give o(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szs when three letters picked without replacement from sssszzzs.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -30*d**3 + 90*d**2 - 54*d - 54. Let x(l) = 2*l**2 - l - 1. Let f(o) = -108*x(o) + 2*y(o). What is the third derivative of f(k) wrt k?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 67, 137, 203, 265, 323, 377, 427?\n\"Answer: -2*u**2 + 76*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -3 (b) -1 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*q + 93*q - 42 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**2. Let d(w) = w - 6. Let a(i) = 2*i - 8. Let g(z) = -3*a(z) + 4*d(z). Calculate g(p(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/420 - u**6\/90 - u**3\/2 + 3*u. Let f(n) be the second derivative of g(n). What is the third derivative of f(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -68. Let t(w) = w**3 + 14*w**2 - 2*w - 2. Let l be t(f). What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*u + 69*u = 0. Suppose -3*z - 2*g = -16, 4*z - g + 2 = g. Suppose -3*s = -z*m - u*m, -5*s = -3*m - 2. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/26*(3 - 2). Let l = 267 - 266. Which is the third biggest value? (a) 0.2 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**5 + 5*c**4 + 150*c**3 + 810*c**2 + 1755*c - 86. Solve s(h) = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -893 + 2*j**2 + 894 - 3*j**2 - 7*j. Let g(p) = p + 7. Suppose 0 = -b + 5*k + 5, -28 = 5*b - b - 4*k. Let q be g(b). Calculate o(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 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 the greatest common factor of 10 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*k + z - 16, 5*k + z = 18. What is the greatest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3 - 1. Let g be -1 + 2 - (0 - -2). Is b less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -3\/2*v**2 + 1\/4*v**4 + 9 + v**3 + 2*v. What is c(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56389888 divided by 1319?\nAnswer: -42752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (3 + 87\/3). Let a = q + 25. Let s(b) = b**2 + 8*b + 2. Give s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148.1 - 128. Let i = 20 - t. Suppose 5*f - 3 - 7 = 0. Put f, i, 2\/13 in increasing order.\nAnswer: i, 2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -180*c + 53638. Calculate h(298).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -503*z - 5. Let i(c) = -251*c - 3. Calculate 5*i(a) - 3*m(a).\nAnswer: 254*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25400 and 266700.\nAnswer: 533400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3 - 134744*u**2 - 134830*u + 5659332 = 0.\nAnswer: -7, 6, 67373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540.511 - 210772.3.\nAnswer: -210231.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1070103 (base 8) to base 11\nAnswer: 1895aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3425*m*w**3 + 4*m*w + 7*m - 2*w**5 - w**4 + 2*w + 1 wrt w.\nAnswer: 20550*m*w - 40*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 662423 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15672\/(-91420)*-3*(-14)\/(1*-2).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(8\/(-6)))\/(12\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-72)*(-47)\/((-10716)\/(-72))*-2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 11, -0.2, 3, -5 in decreasing order.\nAnswer: 11, 3, 0.3, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 156961*l + 1569730. Calculate n(10).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:24 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/(1554\/(-28))*(-20)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.9 + 0.1. Let s = c + -15. What is the second smallest value in -2\/13, 2\/15, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:08 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*z + 5*z + 57 = 0, z - 3 = 0. Let f = k + -30. What is the remainder when 9 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 351 + -237. Suppose y*t + 16 = 116*t. Calculate the smallest common multiple of 23 and t.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 15. Which is the nearest to 0.1? (a) -5 (b) t (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 - (16\/12)\/2. Let r be o\/3 + (-1)\/(-3). Suppose r = 12*n - 6*n. Is n bigger than 3\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21969581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 12*b**2 - b + 8. Let i be n(-12). Let x = -0.12 - -0.22. Let p be 15\/18*(-8)\/(-10). Sort p, i, x.\nAnswer: x, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - p**4 + 0*p**4 + (-2*p**2 + 0 + 0)*(3*p**2 - p**2 - 6*p**2) + 0*p**4 - 2*p**4 + 0*p**4 + (1 - 1 - 2*p**3)*(-1 + 1 - p).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 7*f**2 - 7*f. Suppose -40 = -z - 4*z. Let h be v(z). Let b(y) = -42499*y - 8. Let t be b(h). What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 1\/10*c**5 + 0*c**3 + 17*c**2 - 1\/12*c**6 + 0 + 0*c - 1\/504*c**8 + 1\/45*c**7 + 0*c**4. Determine j so that s(j) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) -3\/8 (c) -2 (d) -1807.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112849)\/(-66)*(-4)\/(-38). Let v = r - 180. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -8.\nAnswer: -8, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 15 + 11 - (52 - 130).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -11\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124.919 - 125. Let q = -0.03 + b. Round q to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, 50, 198, 404?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 2*h + 2. Let a(d) = -d**3 - d**2 + 203*d + 2. Give -a(n) + w(n).\nAnswer: n**3 - 201*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1664)\/(-39))\/(6\/9). Solve 57*i**3 - t*i**3 + 12*i**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/2))**(2\/37))**(-35) assuming z is positive.\nAnswer: z**(105\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 + -0.1. Let o = 464.7 + -487. Let j = o + 22. Which is the biggest value? (a) f (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v. Let q(h) = 5*h. Let z(p) = 6*f(p) + 5*q(p). Let r be z(2). Let c be 0*(0 + (-2)\/r). Sort c, 2, -3\/4.\nAnswer: -3\/4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 (base 5) in base 4?\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = h, 0 = 5*b + 4*h - 5100. Suppose 5*u + s = b, 401 = 2*u + s - 6*s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoooooooeoeo. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/2575 or 0?\nAnswer: 28\/2575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 3 + -3 + -6 + -46 + 19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/2 - (8 - 8). Solve 0 = 5*p - 15 - i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2)**2 + sqrt(52)\/(sqrt(4)*-1) + -1 + (5 + (sqrt(325))**2 - 5*sqrt(208)) + -4.\nAnswer: -21*sqrt(13) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2*r + 2)*(-10 - 7 + 2) + r - r - r)*(-4*r**3 - 2*r**2 + 2*r**2) in the form v*r**4 + z + c*r**3 + l*r**2 + x*r and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/((-3 - -6) + -1). Let v be j\/((-20)\/118)*2. Suppose -4*w = -t + 20, 5*w + v + 22 = 3*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 - -124376?\nAnswer: 124320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1435623.24\nAnswer: -1435618.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(1452) - sqrt(1452))\/((1*sqrt(12))\/sqrt(3)*-6).\nAnswer: 143*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 75788*s. Let f(i) = -i**2 - 119. What is c(f(h))?\nAnswer: -75788*h**2 - 9018772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7559 take away 78694071004?\nAnswer: -78694063445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8525 or -8533?\nAnswer: -8533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580765, 580763, 580765, 580771, 580781?\nAnswer: 580795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*g - 24, -8*n + 13*n - 4*g - 30 = 0. Sort n, 0, -18.\nAnswer: -18, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2050 = 3*c + 2*c. What is c rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3402438 is divided by 677?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -14\/15*w**6 + 1\/7*w**7 + 0 + 17\/10*w**5 + 45*w - w**4 + 0*w**3 + 0*w**2. Let h(s) = 0. What is s?\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r + 15*r - 1178 = 15*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26 (b) 4 (c) -13 (d) 1 (e) -142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8098 = 4*u + x, -4*u + 3*x + 8090 = 0. Let b = 20181\/10 - u. What is the common denominator of b and 131\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -53\/24*p**4 + 0 + 13*p**2 + 0*p + 1\/3*p**3 - 1\/60*p**6 + 19\/30*p**5. Find the second derivative of i(k) wrt k.\nAnswer: -12*k + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*(-11)\/((-308)\/600). Round o to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2\/7 - 7752*b\/7 - 2528949\/7 = 0 for b.\nAnswer: -2201, -383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/7, 1\/6, -150, -2, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 - ((-2)\/1 - -2). Let m be f\/60 + (-6)\/(-8). Solve 4*x + m + 1 = 2*c, -c + 4*x = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128\/433 or -0.0729?\nAnswer: 128\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*k**4 - 26146*k**3 + 675*k**2 - 2*k - 1591.\nAnswer: -2616*k - 156876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w**12*w)\/w)*w)\/(w**17*w*w))\/((w\/(w\/w**5*w))\/w)**14 assuming w is positive.\nAnswer: w**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-65))\/((-234)\/114075*75)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:01 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100110 - -11101?\nAnswer: 110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (44\/(-10))\/((-280)\/250) and -11\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1.4, -2\/25, -1, -2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*b**2 - 2\/7*b - 3\/7 = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i + 3*i - 38 + 42)*(-30 + 87 + 6) to the form l + f*i and give l.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/12 - 3*m + 10. Let c(l) = -16*l**2. What is c(k(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 6. Suppose 10 = -3*y - 4*f, -4*f - 18 = -3*y - f. Solve -3*r + n = -y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -1, -58, 4, 0, 3 in descending order.\nAnswer: 45, 4, 3, 0, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/27 and -8\/5453775?\nAnswer: 16361325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.682094 to one dp.\nAnswer: 116.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 388 + 3*b - 2*b**2 - 102 + 10*b**3 + b - 12*b**3 - 3*b in the form n*b**2 + m*b**3 + r*b + q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3422*s - 3420*s - 5*r - 10, -11 = 3*s - r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 14*p**2 - 36*p - 9. What is the least common multiple of n(-11) and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 + 36*a**2 - 180*a + 192 = 0. What is a?\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352992730 to the power of 1\/2, to the nearest integer?\nAnswer: 36783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2457305*i**4 - 1868*i - 642 wrt i?\nAnswer: 29487660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 3. Let y = f - -1. Solve y = -2*i + 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q - 1. Let g be (-2)\/(3\/((-9)\/(-3))). Let z be -2*1\/g*1. Let a(f) = -14*f**2 + 10*f - 12. What is z*a(s) - 12*d(s)?\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 8760*v**5 + 183826*v**4\/3 + 419518*v**3\/3 + 313048*v**2\/3 - 664*v - 96 = 0.\nAnswer: -3, -2, -1\/36, 12\/365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 52\/(-12). Let u be 5*1\/((-10)\/p). Let h(m) be the first derivative of m**3\/3 + m**2\/2 + 2*m + 3. What is h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027734010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 107*g - 461. Let v be h(4). Let p = 21 - 15.8. Let w = p - 5. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 8*w + 2*v = 35, 0 = -2*w - 3*v + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 29*a**2 + 173*a - 17. Give f(18).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 - 2.76. Sort -0.5, t, 1.\nAnswer: t, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46999 - 212*a - 23505 - 23462 to the form u*a + j and give u.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(-6))))\/z**(-9)*(z**(-9)\/z)\/(z*z**(1\/9)*z) assuming z is positive.\nAnswer: z**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + -1 + 11 - 3 - 9) + -7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*s + 3 + 35 = 0, -2*s = -t + 18 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*q + 20 = 6*m, -3*m - 5*q + 39 = 0. Calculate the remainder when 19 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - -1) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -572\/5. Let o = -0.82 - -0.5. Let x = -0.02 - o. What is the third smallest value in x, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + o = -36, -p + 12 = 2*o - 7*o. Let d be (-28)\/(-35)*1*-5. Let v(z) = -4*z + 2. Calculate the lowest common multiple of v(d) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 36*b = 21232. Let r = b + 4195. Is 54 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44553 - 137267795\/3081. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 2*s**3 - 2*s**3 + 2*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -26.9. Let a = -0.2 - -0.1. What is the nearest to l in 3\/4, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 3. Let q(l) = -15*l + 1303. Calculate -3*h(j) - q(j).\nAnswer: -3*j - 1294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 17*n - 24. Let k be u(10). Let a(g) = 2*g + 3*g + 6 - 9 + 7. What is a(k)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -107*g**2 - 11*g - 20. Let q(u) = 37*u**2 + 3*u + 6. Calculate 2*p(j) + 7*q(j).\nAnswer: 45*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 3. Let x be (-2)\/(-2)*(-4 - c). Let n be ((-1)\/4 - 1) + 1. Is x > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1307920*k + 10463360. What is q(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -540 + -1?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 1018*b + 1134*b + 32*b + 244*b.\nAnswer: 2428*b + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -842 divided by 842\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332*z + 1396*z - 2727*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -6*s**4 - s**3 - s**2 + 15. What is the tens digit of n(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 + (45 - 6). Suppose -3*b = -3*l - 258, b - 4 = 2*l + 85. Let o = b - k. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -18. Let k = s - 25. Suppose -2*a + 1 + k = 0. Solve a*b + b - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -131.5?\nAnswer: -14.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-4)\/(240\/35)). Which is the closest to -1\/3? (a) -5 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 51*l - 253. Calculate a(-8).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 at least 11221\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 + 4*k**2 - 3. Is h(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1*2\/(-4)*3182\/4773?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20291 and 1.\nAnswer: 20291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (((sqrt(605) + 0)**2 - sqrt(605)) + -1 + 0)*-3).\nAnswer: -132*sqrt(5) + 7228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -p + 5 - 3, 3 = -3*z. Solve -4*b - 6 = -b, -p*j = -2*b + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 4*f + 2, -4*z + 5*f - 2 = 0. Let j(q) be the second derivative of -q**4\/12 - 2*q**3\/3 - 2*q**2 + q. Calculate j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(0 + 0 + 5)*(8*w + 23 - 23 + (7*w - 3*w - 2*w)*(2 + 0 - 1)) + w + 2*w + 0*w.\nAnswer: -97*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 364 - 934 = 0. Let l = -201 - h. Let k = -151 - l. What is k rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 - -409. What is the highest common factor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9749 - -29248\/3. Let l = -3 - -2. Which is the nearest to l? (a) -2 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -4, 11, 42, 95, 176, 291, 446?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182 + 53*c - 115*c - 130*c - 173*c wrt c?\nAnswer: -365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -522366269*p**5 + 1988231*p**2 wrt p?\nAnswer: -31341976140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 184730?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 - 6*m + 10. Suppose 6*f + 3*w = 2*f + 34, 5*f + 2*w = 39. Let c(o) = -11*o**2 - 11*o + 20. Let t(y) = f*a(y) - 3*c(y). Calculate t(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c + 76cd8?\nAnswer: 76d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from mfmnxmnelmmxe.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, -122, -240, -404?\n\"Answer: -23*d**2 - 3*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(7\/3)\/y**(-1\/11)*(y*y**(3\/7)\/y)\/(y**8*y*y)*(y\/y**(3\/2))\/((y**(-4\/7)*y)\/y)*((y*y\/(y*y**(2\/7)))\/y)**(-7\/2) assuming y is positive.\nAnswer: y**(-401\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*q + 8 = 2*s, -3*s - 5*q + 20 = 0. Let b = -5 + 8. Let y be b - s - (-26)\/(-10). Which is bigger: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -426621?\nAnswer: 42662.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/16 and 93\/452.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33748, -33731, -33714, -33697, -33680, -33663?\n\"Answer: 17*w - 33765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2272281 centuries to millennia.\nAnswer: 0.02272281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44736.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 143020 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**3*p**2 + 3*d**3*p + 418*d**2 + 103721*d*p**2 + 164*d*p wrt p.\nAnswer: -12*d**3 + 207442*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-15))\/((-3)\/18). Suppose 714 = -y*s + 23*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 1. Let q be u(-1). Suppose -j + 1 = -r + 17, q = 2*r - 4*j - 28. Calculate the smallest common multiple of r and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 1, t: 3, u: 1, i: 1, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -14 + 0 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -30*m + 27*m - 14071, 0 = -2*m - 3*r - 9382. Let d = m - -10674. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*h + 2. Solve h = -5*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851724.\nAnswer: 2, 3, 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976 is divided by -74*(-31)\/14 + 1 + (-13)\/(-91).\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 0*a + 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 5*x + 14, 2*k - 5*x - 31 = 0. Calculate the remainder when 69 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006773835 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 247, 483, 683, 847?\n\"Answer: -18*a**2 + 290*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:15 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from lbdbfldcbbdeddf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10809)\/(-45) + 4\/(-20). Suppose -31*q - 70 - m = 0. Let j(i) = -i**3 - 9*i**2 + 9*i - 8. Calculate j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 0*g - 4*g - 6*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5133901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -388*k**5 + 6*k**4 + k + 221 wrt k?\nAnswer: -7760*k**3 + 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 3*u - 1)*(-3*u + u**2 + 3*u) as o + b*u + r*u**2 + q*u**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/655, 5, -0.1, 0 in decreasing order.\nAnswer: 5, 0, -6\/655, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2835933705 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 10*i + 2. Let f be 45\/(-6)*(-8)\/(-6). Let s be c(f). Is 21 a factor of (-945)\/(-18) + (-1)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1 = 21. Suppose -20 = -4*o - 0. Suppose -3*v + 4 = -o*v. Which is the closest to -1\/2? (a) v (b) -2\/21 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02659468 rounded to 5 decimal places?\nAnswer: -0.02659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/492 and 61\/1266.\nAnswer: 103812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*v + 7 - 801 = -217*v - 184 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7789028*l*p**2*s + 34*l*p**2 + 66207*l*s - 1182*l wrt p?\nAnswer: 15578056*l*p*s + 68*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 3*g**6\/20 + 9*g**5\/10 - 18*g**2. Find the third derivative of w(q) wrt q.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7776934679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 33c6?\nAnswer: 33c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*f**2 - 42249*f + 42249*f.\nAnswer: -901*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/182 and -72\/35.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from bbrrbcbekcbbbrcrere.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/3366)\/((-10)\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32747, 32740, 32729, 32714, 32695, 32672, 32645?\nAnswer: 32614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/12*(-1 - -3). Suppose 2*w = 5 - b. Suppose 0 = w*k - 10, q + k = -q + 21. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2)*(1 + 0 + 1) + (2 + 2 - 2)*(-1 - 4 + 4))*(-5*n**3 - 3 + 3).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147.01 - -171.7. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:14 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 120\/1400*(-418)\/3. Let s = f - -85\/7. Which is the closest to 0? (a) s (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - (4 + 6 - (-3 + 14)) - (6 + -5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7574296 is divided by 15240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 6*s**2 + 6*s - 5. Let q be c(-7). Solve 8 = -q*t - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 5:53 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024061 is divided by 341293?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 20*h - 7 - 28*h + 2*h**3 + 3 - 7*h**2 - 3*h**3. Suppose -3*b - 6 = -c, -3*c - 2*b = -0*c + 26. What is y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Let f = 41 - 37. Suppose -m = f*z, 257 = 5*i + 4*z - 39. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 52236 = -2*d, -2*x = -x - 4*d - 2604. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 184?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:48 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -801.976353 + -0.119647. Let o = 785 + u. Let m = 17 + o. Round m to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -0.6. What is the closest to n in -1, 1.4, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f**3 - 2*f**2 + 4*f + 106. Let w(j) = 20*j**3 + 7*j**2 - 14*j - 318. Calculate 7*u(o) + 2*w(o).\nAnswer: -2*o**3 + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 16 = -4*i + 21, 3*i = -t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w**2 + 56*w**2 + 406 - 121*w**2.\nAnswer: 3*w**2 + 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.9 from -22.\nAnswer: -26.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.4 in 2257, 0.1, -2\/7, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000798 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-609)\/(-1131))\/(157\/(-942)).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 655041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.3. Suppose 2*r = 2*j - 10, 10 = -182*r + 184*r + 3*j. Which is the nearest to -1? (a) 0.4 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 - -2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 67. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 12*v + 2. Let j be t(-5). Suppose -d + 39 = -j. Let p = d + -305\/4. Which is the biggest value? (a) -0.3 (b) p (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99871144?\nAnswer: 2, 19, 657047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 27. Let i be c(-11). Let p be 43 - i - (0 + 4). Suppose -2*j + 2*u = -40, -p = -3*j - u + 18. What is the remainder when 71 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f - 18. Let q be 11\/(-44) + f*2\/(-16). Solve -b - q*b = 2*d, -14 = -b + 4*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 11 - 1 = 0, 0 = -4*z + 3*f + 6824. Let p = 3121 - z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.6 or -19735\/9?\nAnswer: -19735\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-33) - (-25 + 17720\/770). Factor 0 - 2\/7*r**2 - i*r.\nAnswer: -2*r*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -990*x - 8943. What is j(-9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.792044 seconds in hours?\nAnswer: 0.00049779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 602\/215 - (-29374)\/(-10540).\nAnswer: 31620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 28*d**2 + 5*d + 155. What is b(-28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 - 72*j**2\/5 + 714*j\/5 - 2156\/5.\nAnswer: 2*(j - 22)*(j - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97279*h**2 + 204 - 204.\nAnswer: -97279*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -4*o**3 + 17\/12*o**4 + 0*o - 25*o**2 + 0. What is the first derivative of m(b) wrt b?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/14 and 41\/1847.\nAnswer: 25858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**18\/p)*((((p\/(p**20*p*p*p))\/p)\/p)\/p)\/p)**(-22) assuming p is positive.\nAnswer: p**946","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -483241 or -482764?\nAnswer: -482764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 8 - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/((j\/((j\/j**(-4\/13))\/j))\/j)*j\/j**17*j**1 assuming j is positive.\nAnswer: j**(-217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - z**2 - 16. Let k be r(3). Suppose 717 = 5*x - w + k*w, -3*x - 2*w = -426. Calculate the greatest common divisor of x and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 - 6*q**3 + 6*q**3)*(4 - 5 + 0)*(-5 + 30 - 11).\nAnswer: 28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421348569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 30. What is the remainder when (2 + (-140)\/6)*(-42)\/28 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dorcf. What is prob of picking 1 o and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let f(w) be the first derivative of 0*w**2 + 1\/3*w**3 - 2 + 0*w. Calculate f(t(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o*o\/(o**(-2\/3)*o))*o)\/o))**27*o**(-2\/7)*o*o**(-5)\/o assuming o is positive.\nAnswer: o**(467\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555134714?\nAnswer: 2, 3, 7, 173, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 13. Give t(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.315 + -2.515. Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 728\/60 + 4\/(-30). Suppose -2*s + 6 + g = 0. Let t = s + -7. Solve -j + t*j = -2*k + 9, 0 = 2*k + 4*j - 24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2011 + -877. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + -12 + 27 + 70\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182364 is divided by 91058.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -246 - -3?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5 - 3516*a**4 + 774156*a**3 - 560596*a**2 - 45873744*a - 83255472 = 0.\nAnswer: -6, -2, 9, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4352\/65 + -860\/13. What is the closest to -0.1 in 88, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -147. Calculate the greatest common factor of f and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -1\/3, -116, -5.\nAnswer: -116, -18, -5, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -0.2. Let h = -143 + 713\/5. What is the third smallest value in h, d, 0.06?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364 + 47 + 59 + 79 + 3*h + 71.\nAnswer: 3*h - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103\/8 - 31\/(-465)*-195?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1256? (a) -1\/4 (b) 0.1 (c) -1 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/8)\/(28\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.009 (b) -5\/9 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1559*u**2 - 8 + 2132*u**2 + 3 - 3694*u**2 - 2 - 6.\nAnswer: -3*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (0 + -2)\/1. Suppose -8*v + l*v = -220. 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(p) be the first derivative of -p**4\/4 + p**2\/2 + 2*p + 2. Let r be i(0). Let s be 13 - 1*1*-1. Solve 18 = 3*x + 3*d, -r*x + 5*d - s = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 6, g: 3}. What is prob of sequence gj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(77) + sqrt(77)*3))\/(1*sqrt(33)\/sqrt(3)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2. Let u be (2*(-2 + 3))\/(-9 + 11). Let l be z(u). Suppose w - 27 = 2*f, -w = -3*w - 3*f + 82. Calculate the highest common divisor of l and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/((-10)\/1240). Suppose -15 = 2*h + 3*h, q = 4*l + h. Suppose -g + 2*o + l = -0*g, 5*g = -3*o + 146. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/15 + j**4\/6 + 4*j**3\/3 + 2*j**2. Factor u(d).\nAnswer: -4*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 35*y**3 - 48*y**2. Let v(n) = -88*n**3 + 120*n**2. Let c(z) = 12*g(z) + 5*v(z). What is the third derivative of c(o) wrt o?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, 153?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a*a**(-8)*a)\/a*a\/(a*a**(-1\/34)\/a) assuming a is positive.\nAnswer: a**(-135\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -1 + 16. Let u be (2\/(2\/(-1)))\/(-1). Sort 2, k, u.\nAnswer: u, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18872*107\nAnswer: 20.19304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {k: 2, x: 3, n: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9041*v**2 - 4*v + 3. Let l be c(1). Let o be (-1 + l\/(-18))\/(1\/3750). Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1541 divided by -26\nAnswer: -1541\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from yfjjmyfjkff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from okszskoozookolzsoo?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3488 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 - 72. Sort -5, 4, u in increasing order.\nAnswer: -5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4016965, 8033929, 12050917, 16067941, 20085013, 24102145?\n\"Answer: 2*l**3 + 4016950*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111448101 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17261*d + 246. Let s(k) = -283*k + 4. Determine 2*g(q) - 123*s(q).\nAnswer: 287*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-87 + (9 - 5) - (39 + -39)) + 5?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1006344 by 9.\nAnswer: 111816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:45 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04349421481 rounded to four dps?\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a microgram in nanograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 1, n: 1, h: 4, z: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 42 = 4*s - 164, 4*s = -29*n + 746 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 4*r + 7. Let o(w) = w**2 - 5*w + 8. Let q(f) = -5*o(f) + 6*z(f). What is q(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11 = -5*r, -l - 1 = -r + 4. Let s(t) = -t + 1. Let x(j) = -2*j + 5. What is r*s(n) - x(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + 0*x**2 - 7*x**2 + (1743*x + 2 - 1763*x - 3)*(-3 + 3 + 3*x) - 5*x + 5*x - 3*x**2.\nAnswer: -67*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1481160 (base 9) to base 4.\nAnswer: -3020123331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001286610152 rounded to six decimal places?\nAnswer: -0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -205429.9 from -0.3.\nAnswer: 205429.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52995328 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3\/2, -105, -1\/10, 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*t - 4*q + 458, 0 = -2*t - q + 184. Let u = t + -54. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346.15175 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5\/4*q**3 + 3\/4*q**4 + 0 - 1\/12*q + 7\/12*q**2 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, -40, -121?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121222100 (base 3) in base 5?\nAnswer: -344000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10703*j**2 - 1 + 10704*j**2 + 1.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/117 and -4\/27?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 790 - 733. What is the highest common divisor of 323 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:36 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2 + 2)*(-3*p - 7*p + p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5448845.7655 + 1.2.\nAnswer: 5448846.9655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*a**4 + a**4 - 2 + (-4*a + 6*a - 3*a)*(3 + 1 - 3)*(5*a**2 - 5*a**2 + 2*a**3) as l*a + m*a**4 + r*a**3 + n*a**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -1\/160189, -5?\nAnswer: -1\/160189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 3125*n**2 + 65445*n - 609525.\nAnswer: -5*(n - 645)*(n - 7)*(n + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-3935.\nAnswer: 15740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 6:45 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.304547 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3281.3 + 3488. Let k = 221 - t. Let s = -14 + k. Which is smaller: -1\/3 or s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -2\/9 (b) 1\/9 (c) -51 (d) -4 (e) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, o: 2, w: 6}. Give prob of sequence wo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + ((-3124)\/(-5) - 12\/(-60)). Let l = j + -12451\/20. Find the common denominator of 28\/25 and l.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -752, -1488, -2216, -2930, -3624?\n\"Answer: r**3 - 2*r**2 - 737*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 12:54 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-18)*-3*-4. Suppose 5*q + 3*b - 176 = -200, 0 = -5*q + 2*b - 9. Put q, o, -6, -4\/7 in descending order.\nAnswer: -4\/7, o, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4769 is divided by 4767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2836 - -2836.00007763. Round x to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99283 + 10362 = -644*t + 595 for t.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guth when four letters picked without replacement from nghtgmumh.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003318404 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188790*b + 8*b**3 + 188790*b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - -9 - (-8 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -25*m - 17. Let g(j) = -6*j - 4. Calculate 2*b(c) - 9*g(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 803785750 to the power of 1\/2, to the nearest integer?\nAnswer: 28351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 12979.\nAnswer: -84\/12979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**2\/5 + 326*r\/5 + 1836\/5.\nAnswer: 2*(r + 34)*(4*r + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31122 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 12*u + 7*u - 18*u = -34, 3*b - 183 = 5*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -51. Let i = 50 - j. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**4 - 5*s**3 - 17*s**2 + 180. Let v(o) = -o**3 - 3*o**2 + 30. Let h(p) = -6*j(p) + 34*v(p). Find the first derivative of h(w) wrt w.\nAnswer: 24*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 37*f. Let a(y) = -107*y - y**2 + 107*y. Determine a(s(p)).\nAnswer: -1369*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Let p = -3.9991 + g. Round p to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -17 - 2) + -51 + 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29370 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760) + sqrt(5760)*-2)\/sqrt(8)*5.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -d, 0 = 3*o + 31*d - 29*d - 38. Factor -20\/3*b + 0 + 4\/9*b**o.\nAnswer: 4*b*(b - 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/167 - -829\/1002. Which is the closest to -3? (a) h (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**4\/8 + 35*r**3\/3 + r**2. Let i = -874 + 874. What are the prime factors of g(i)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 68*k + 390. Calculate v(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19088033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0635088 to 4 decimal places.\nAnswer: 0.0635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2837552 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1760642387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -136*5\/110 - -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*u + 383 = 0, 291 = 3*f + 2*u - 5*u. Suppose z - 2*z + 26 = 0. What is the remainder when f is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - t + 132 - 19 - 267.\nAnswer: -t - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -77 (c) 2\/21 (d) 6 (e) -133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 277673, 552079, 826473, 1100849, 1375201?\n\"Answer: -g**3 + 274413*g + 3261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 198 - 1058. What is the greatest common divisor of 43 and w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Put s, -0.2, 0.5 in ascending order.\nAnswer: -0.2, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116284 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105799, 123939, 154173, 196501?\nAnswer: 250923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 399307 to the power of 1\/2, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 37*t - 34*t. Let k be 2 - 5 - 21\/35 - t. What is the closest to 0 in 1, k, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 42. Which is the smallest value? (a) -2 (b) n (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 27*l - 22*l. Let y = l + -8. What is the greatest common factor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 97 - j + 213039*j**3 + 98.\nAnswer: 213039*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 95*z - 5. Let k(w) = 48*w - 3. Calculate -5*k(r) + 3*y(r).\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10699046?\nAnswer: 2, 89, 60107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*q - 74, 6*q - q + 61 = 3*b. Suppose v = 5*c - 11, -v + 1 = 2*c + 19. Let m = v + b. What is the greatest common factor of m and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5074.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21.9 or -3\/5?\nAnswer: 21.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(33\/6)*-1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-1)\/1 - -2). Let o = -3 - -5. Suppose -4 - 1 = -r. Solve p = o*v - v - r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9532.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*g - 47. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63557.1 at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-40)*10\/7. Let c = -12\/19 + -59\/57. What is the third biggest value in c, -11, d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1627 divided by -23.\nAnswer: -1627\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 427900 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4\/9 + 43*b**3\/9 - 139*b**2\/3 - 51*b = 0.\nAnswer: -51, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 551679439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:35 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93001356 and 109242?\nAnswer: 279004068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 - 37 = -4*g. Let k = g - 29. Differentiate k - 13*n + 2*n + 0*n wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = 18*w - 25*w. Suppose q = y, 10 = -4*q + 6*q. Suppose y*o - 63 = -p + 62, 3*o = -4*p + 92. Calculate the remainder when w is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3881 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/(-125))\/((-7)\/20). Let q = h - 5\/7. What is the common denominator of q and ((-6)\/(-4))\/(6\/94)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16561392 divided by -291\nAnswer: 56912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 172 = -148. Let n = 294 - d. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*c = 11, 4 - 11 = -2*z + 3*c. Put 1, z, -3 in descending order.\nAnswer: 1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 320 - -1773. What are the prime factors of j?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 2*p + 1. Let t(i) = i**2 + 5*i - 10. Let l be t(-7). What is the units digit of a(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5 and -157\/3605070.\nAnswer: 3605070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(85))\/sqrt(5) + -1)**2.\nAnswer: 4*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -236, -385, -570, -803?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104472 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 7 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9016 and 271705?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 16 = 3*n + 37*d, 2*n = -4*d - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 20*q**2. Let g(x) be the second derivative of -x**4\/4 + 40*x. Determine g(a(y)).\nAnswer: -1200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5467, -10932, -16397, -21862?\n\"Answer: -5465*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 3*c - 2*c)*(0 - 9 + 11)*(1 - 4*c**2 + 1 + 0*c**2) - 17*c**3 + 4*c**3 + 24*c**3 as j*c + n*c**2 + g*c**3 + r and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*u - 139 = -4*u, -u = -3*f + 104. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250.46*-15.\nAnswer: 3756.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 9. Let r = 367 + -5129\/14. Let l = -87\/70 + r. What is the closest to 8 in y, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 60*z**2 - 9*z + 28. Let v(u) = 11*u**2 - 2*u + 7. Give -4*t(q) + 18*v(q).\nAnswer: -42*q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 194*f**4*s**2 - 2*s**2 + 59*s wrt f.\nAnswer: 776*f**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1659960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5, -3*r - 15872 = -5*o - 95346. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 288 and -3534.62228796.\nAnswer: -3246.62228796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 + 7*b + 9. Let k be j(-6). Suppose -f + 7 = k. Calculate the highest common divisor of f and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + 3*k**4 + 0*k**4 - 6*k**4 + (0*k**2 + 0*k**2 + 2*k**3)*(-4 + 4 - 10*k).\nAnswer: -23*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 14) in base 5?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.13935 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725164 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-27) - 52214\/(-18). Let h(a) = 11*a**3 + 16*a**2 + 11*a + 8. Let x be h(-6). Let t = x + c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g + 1. Let h(b) = -3*b**2 + 4*b + 2. Let q(f) = -3*h(f) + 6*j(f). Factor q(v).\nAnswer: 3*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 - 14)*(3*p**2 + 19745 - 19745).\nAnswer: -81*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-32)\/(-4)) - 213\/12. Is z\/(-63) + (-1032)\/(-14) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 150, 222?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0*w + m - 8 = 0, 16 = -4*w + 4*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzyuu. Give prob of sequence uy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-3)\/3*5\/15). Suppose 0 = -2*i - 2*z + 757992, -u*i - 5*z - 485154 = -1622134. Round i to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 485 and 2813.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384522711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -69. Let t be (-4 - s\/(-18))*4. What is the biggest value in t, 1\/3, 0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/2 - (-2 - -2). Let q = u + 1. Does 4 divide (-3)\/((3\/9)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*n + 5*r + 18, 12 = n - 2*r. Suppose -16*s = -n*s - 902. List the prime factors of s.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in 0.23, -425, 0, -1, -0.28?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2. Let o(v) = 61*v. Determine a(o(c)).\nAnswer: -14884*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4\/3)\/((-2)\/(-3)) and ((-36)\/(-15))\/(129\/60 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**2 + 400*m*x**2 - 2981*m + 413*x**2 + 111*x - 94 with respect to m.\nAnswer: -6*m + 400*x**2 - 2981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-18))\/(2\/(74\/1)))\/(758\/(-4548))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -211937 from -4.1.\nAnswer: 211932.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.9031 - -17.90310076819. Round m to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -14*o**3 + 11*o**2 + 13*o + 88. Let m(b) = 5*b**3 - 4*b**2 - 4*b - 30. Give 17*m(k) + 6*y(k).\nAnswer: k**3 - 2*k**2 + 10*k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -3, 1\/7, 1.2, 25.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*r**3 - 242*r**3 - 920*r**3 - 86*r**3 + 1537 with respect to r.\nAnswer: -3972*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19864697*p**2 + 336876757 wrt p.\nAnswer: -39729394*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*k = 4*k + 11, -5*k = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1260 + -1260.2. Which is the second smallest value? (a) i (b) -1 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, z: 1, f: 7, q: 4, u: 2}. What is prob of picking 1 u, 1 q, and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 20*w - 25*w = -17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/10)\/(26\/(8320\/(-96))). Which is smaller: g or -29.07?\nAnswer: -29.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13980*b + 13985*b - 50. Solve 2*h - 2 + b = -2*z, z = 5*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:49 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - 1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -417, 11, -4, 1\/4?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -87\/7, 1\/164?\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.22 + 10. Let f = w + -0.88. Let q = 1 + f. Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**3 - 5487*w**2 + 5487*w**2.\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 + 48 = 0. Suppose 85 = 13*l - x*l. Suppose -u - l = -16. Let w(h) = 4*h**2 + 2*h + 1. Give w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 5*x - 6. Let s(w) = -w + 1. Suppose 4*h - 27 = -3. Suppose 4*z = h*z + 8. Give z*s(l) - i(l).\nAnswer: -2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5923519?\nAnswer: 7, 846217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4466329 >= 4466333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2 + (7 + 11 + 7)*(0 + 0 - 1) + 1 + 4 - 4)*(-2*s + s + 3*s) to o + b*s and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (48 - 36) - (1 + -20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(5)*2 + sqrt(5) + 2)**2 + -4)*-2.\nAnswer: -84 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r + 2*r + 2*r)*((-4 - 4 + 4)*(0 + 0 + 2*r) + (0 + 0 - 6)*(-2*r + 4*r - r)).\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -27. Find the third derivative of 22 - m - c**3 + 3*c**2 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44443 - -1?\nAnswer: 44444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -17 - (-1 - -4) - 37170\/(-10089).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -208 + 389 - 74 - 2*q as c*q + m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:57 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2193 - -4013. List the prime factors of w.\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 58*z + 249. Give f(-7).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 72 = 2*p - 5*p, -2*p = 0. Let u be ((-6)\/m)\/((-2)\/(-12)). What is the remainder when 10 - (u + -1 + 1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1231736201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:40 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/48 - 21*s**3\/4 - 3969*s**2\/8 + 361*s. Solve x(m) = 0.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/760*5\/1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575514433*z - 575514432*z - 103*z**2 + 19 - 19.\nAnswer: -103*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 28*i - 25. Let f(p) = 3*p**2 + 29*p + 26. Let h(u) = -5*f(u) - 6*t(u). Let d = 236 - 247. What are the prime factors of h(d)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1083*j**3 - 65*j**2 - 117588*j wrt j.\nAnswer: 6498*j - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86074, 86146, 86210, 86260, 86290, 86294?\n\"Answer: -y**3 + 2*y**2 + 73*y + 86000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 111. Let d be 6 - (n\/(-40))\/(2\/5). Suppose -d*f + 352 = -2104. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955488 divided by -6.\nAnswer: 159248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642962 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {n: 1, m: 3, e: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -417\/1030 - -1\/206. What is the nearest to w in -4, 1\/7, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/((o\/(o\/(o**6\/o)))\/o*o*o))\/(o**(-3)*o*o**(-2\/19))*(o\/o**8*o**3)**(33\/4) assuming o is positive.\nAnswer: o**(-625\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000660383 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, x: 12}. Give prob of sequence xwxx.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567\/(-81) - (-30)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**3 + 3*g**2 - 4*g + 6. Suppose -6*y = -20 - 4. Suppose -i - 8 = -y*l, -2*l + 2*i = 3*i - 10. What are the prime factors of s(l)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 47*x - 1\/19*x**2 - 7\/38*x**4 + 0 - 8\/57*x**3 - 9\/95*x**5. Factor g(z).\nAnswer: -2*(2*z + 1)*(3*z + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -6 - (-1 - 6\/3). Let f = -12 + 9. Let d = f - 2. Which is the third biggest value? (a) -0.01 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c. Let k(r) = 4*r + 12*r + 7*r. What is v(k(x))?\nAnswer: 138*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-12)\/10 - -1). Let w = q + 22. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 96 - 297 - 307*s + 100 to h*s + p and give h.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a1c23 (base 15) in base 11?\nAnswer: 379a1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1255 + 1258. Let h be 24\/28*(-1)\/3. Put h, -0.1, o in increasing order.\nAnswer: h, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 14*l**2 - 23*l**2 - 12*l**2 + 50*l**2 + 3*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose -12 = -l*t - 3*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196358 + -1?\nAnswer: 196357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61020767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246115 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 4 + 4)*(-83*l**2 + 21*l**2 + 30*l**2) + 12*l**4 - 42*l**4 + 21*l**4 - 2*l**4 - 3*l**4 + 4*l**4.\nAnswer: -42*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b. Suppose 2 - 26 = -4*p + 4*g, b = 5*p + g. Let j = 1 + p. Solve j*c + 4*f = 2, 0 = 4*c - 2*f - 5 - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*d + 0)*(2 - 3 + 2)*(5 + 5 + 2)*(48 - 48 + 344*d) in the form a + j*d**2 + b*d and give j.\nAnswer: 8256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**2 - 27*a - 104. What is the least common multiple of i(-5) and 32?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4565, 4566, 4567, 4568, 4569?\n\"Answer: j + 4564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/(-14))\/(37\/(-35) + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let d(j) = 57*j + 43. Determine d(o) + 6*g(o).\nAnswer: 51*o + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:56 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77996 is divided by 2435?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4bb - 5?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -35*r**2 + 2*r + 504. Let p(x) = 2*x. Calculate f(p(o)).\nAnswer: -140*o**2 + 4*o + 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 66. Let s be 13788\/30 - (-4)\/10. Suppose -i*f - s = -6*f. What are the prime factors of f?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**4\/4 + t**3\/3 + 5*t**2 + 9*t - 40. Let c be a(4). Differentiate 30*g - c + 27 - 13 wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k + 4*m + 18, 12*k = 10*k + 2*m + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = h, -2*h - 4*t = -5*t - 2. What is the remainder when (-1799)\/(-14) - (h\/6)\/1 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -56731175\nAnswer: -56731172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 30*f**2 - f - 2. Let n be d(-7). Find the common denominator of 40\/33 and 4 - (n\/(-390) - -6).\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22167 - -71482. What is the second derivative of 11*m - 67*m**3 - 49315 + k - 2*m**2 wrt m?\nAnswer: -402*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m - 100 = 0. Let w = 1 + -1. Suppose w = 3*q + c + 2*c - 177, 2*q - 2*c = 118. What is the remainder when q is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102806*w - 77 + 19 + 11*w**2 - 19 - 102806*w.\nAnswer: 11*w**2 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*n - 3*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(-v + 2*v + v) + 7*v - 5*v - 8*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 - 2*m - 2. Let f be i(5). Let u be ((-3)\/3)\/(3\/f). Suppose -44000 = 2*w - u*w. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (sqrt(171) - (sqrt(171) + -1 + sqrt(171)*-2)))**2.\nAnswer: -180*sqrt(19) + 3465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000028777286 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*n - 18, 10*n + 15 = 5*n. Let y = -22 - -22. Solve y = -r*p - 3 + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -7, 20, 69, 146?\n\"Answer: s**3 + 2*s**2 - 2*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1827 + 62982498665\nAnswer: 62982500492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/66 and 6\/15 - (-54)\/(-20).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 62*f**2 + 3*f + 1. Let y be i(-1). Suppose 32*u - y = 31*u. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 491*l**2*q + 279*l**2 - 2*l*q - 21*l - 7708*q - 2 with respect to l.\nAnswer: 982*l*q + 558*l - 2*q - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -24736 > -3939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*t**3 - 156\/5*t**2 - 336*t + 9408\/5.\nAnswer: -3*(t - 4)*(t + 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 3, -3.5, -1\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -979 - -1394. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o - 117. Let j(d) = 77*d - 820. Calculate 15*f(k) - 2*j(k).\nAnswer: 11*k - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 11 - 3)*(73 - 5*d + 76 - 147) as b + n*d and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6*r + 12. Let d(m) = m**2 - m - 3. Let w(g) = g**2 - 3*g - 5. Let y(j) = r*w(j) + 5*d(j). What is the second derivative of y(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3, 0*m - 5*y - 7 = -m. Let c(a) = 4*a**2 + a**2 - m*a**2 + 4*a**2. Let g(n) = -n. What is g(c(x))?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782200 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123500 + -77?\nAnswer: -123577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddne. Give prob of sequence nded.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23431*h*o*p**2 - h*p*x - 509*o*p*x + 48*p**2*x + 18 wrt x?\nAnswer: -h*p - 509*o*p + 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*c - 7*c. Let j(m) = m**2 - 2 - 5 + 8*m - 10*m. Does 17 divide j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4664 and -4.\nAnswer: -18656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2 + 1 - b + 2. Suppose 2*g = t + 4*t - 58, 0 = -5*t + 5*g + 70. Suppose 5*x = -v + 20, 0 = x - v - 0*v - t. What is u(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 3 = 0. Suppose -7*l = -d*l - 8. Find the second derivative of -34*h - 53*h + 98*h - h**l wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3535 from -442.56.\nAnswer: -3977.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -2990?\nAnswer: 4\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510 - 278. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 + 20*t**2 + 4*t - 1. Let o(j) = -j**3 + 4*j**2 + 2*j + 1. Let p(l) = b(l) - 4*o(l). Determine p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-3))\/(31\/((-372)\/(-120))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(-1\/3))*y*y*y*y*(y**(-1\/4)\/y)\/y)**(-45) assuming y is positive.\nAnswer: y**(-555\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 215700.\nAnswer: 215700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -12. Suppose 6 = c*o - 30. Let s be (-16)\/(-6)*6\/4. Calculate the greatest common divisor of s and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -11. What is the second biggest value in q, 6, 3, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*i**2*l**3 + 5*i**2*l**2 + 5*i*l**3 - 125*i*l**2 wrt i.\nAnswer: 234*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 14\/28)\/(9\/(-20))*-9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6 + (2 - -2 - 5) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 228 = 54*q + 52*q. Suppose -3*r + 3*p + 37 = 2*p, 0 = 2*r - 5*p - 42. Solve -3 = q*h - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1455, -2980, -4505, -6030?\nAnswer: -7555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from yaqizuy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*t - 36*t + 2046 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(17)*2)**2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 683317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p + 10. Let c = 6 + p. Let k(m) = -m**2 - 4*m + 1. What is the units digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32634658?\nAnswer: 2, 7, 2331047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1956, 2, -1\/5, -2\/11, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5710564.\nAnswer: 2, 19, 29, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16882 and 96320251?\nAnswer: 8441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3609 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - m - 2*m + m + 5*m.\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75 in -1\/7, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 28*c. Let t(p) = 341*p - 3. What is l(t(x))?\nAnswer: 9548*x - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/20 - 17*m**4\/12 - m**3\/3 - 37*m**2\/2 - 8*m - 2. Let p be r(-17). Put p, -1, -6\/7 in descending order.\nAnswer: -6\/7, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfeuufyyfyuyffyfuf. What is prob of sequence uuff?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 7*g**2 - 3*g + 16. Determine f(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 231.9, 9, -0.4, -4 in descending order.\nAnswer: 231.9, 9, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ava when three letters picked without replacement from aaavv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + -170a?\nAnswer: -1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**27\/(s\/(s\/(s\/((s*s*s\/s**(-2))\/s*s*s*s)))*s*s**(1\/10)) assuming s is positive.\nAnswer: s**(319\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 77 = -4*z, 5*g - 5*z - 65 = 55. Calculate the remainder when 92 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3220\/(-184))\/((-9)\/180 - (-14)\/(-70)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 31, 1, 319, -3.\nAnswer: -3, 1, 31, 86, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrccrc. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343110339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 5, j: 1, c: 5}. Give prob of sequence jz.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 119 (b) -0.5 (c) -411 (d) -4\/33 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12691000 rounded to the nearest 100000?\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19410)\/5176)\/(-7 - (-51)\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.740915t in kilograms?\nAnswer: 1740.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from cccccccccccg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 3*h - 3*h)*(-5*h + 3*h + 3*h) + h**3 + 2*h + h - h.\nAnswer: 3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156)*3 - sqrt(156))*-3*-3)\/(sqrt(336)\/sqrt(7) + sqrt(108)*5).\nAnswer: 90*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 2*v - 2. Let b(i) be the third derivative of -i**6\/24 + i**4\/6 - i**3\/2 + 3*i**2. Calculate -4*b(l) + 7*g(l).\nAnswer: -l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228017, -456050, -684097, -912158, -1140233, -1368322, -1596425?\nAnswer: -1824542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133.6 + -134.6. What is the closest to -0.23 in -2, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152575\/26 + -5869. Let g = -3\/13 - w. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020759 to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -168*a - 163*a - 165*a + 658*a - 164*a. Let t(b) = -182*b. What is t(r(u))?\nAnswer: 364*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3 - 28\/(-6). Suppose 3 = -t + f. Solve -t*m - m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - v = -250, -4*v = -5*y + 333 + 112. Let k be 612\/y*20\/3. What is the greatest common divisor of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 22*o - 27. Let z be (18\/(-8))\/((-3)\/(-24)). Is d(z) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + -2 + (sqrt(1700) - (-3 + sqrt(1700) - sqrt(1700))).\nAnswer: 1 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 34*a**2 + 11*a + 10. Let y(w) = 13*w**3 + 140*w**2 - 43*w - 38. Let x(d) = -17*c(d) - 4*y(d). Determine x(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1418, -5652, -12708, -22586?\n\"Answer: -1411*v**2 - v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1822\/(-330) - 203310\/(-37650).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 = -2*y + 467. Suppose -4*h - 176 = -y. Suppose -2*r - h = 3*v - 359, -v + 93 = r. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-6)\/27 + (-36)\/(-162)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2937 in 4, 3\/5, -25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331974 is divided by 110642.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 2:37 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(35)\/(sqrt(15)\/sqrt(3)) + (sqrt(42)\/sqrt(6) + -4)**2) + 1.\nAnswer: -28*sqrt(7) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111001011 + 1011?\nAnswer: 100111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 2 + 2)*(-5*x + 0*x + 3*x) + 403*x**2 - 809*x**2 - 149*x**3 + 405*x**2 - x.\nAnswer: -145*x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -1673, -6, -12, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.0726 (b) -18 (c) 0.3 (d) -0.06 (e) -5 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-28072)\/1914*(-3)\/(-2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10120.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24870, 24767, 24664, 24561, 24458, 24355?\nAnswer: 24252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 3*b)*(3*b + 3*b - 2*b) - 4*b + 4*b - 5*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a - 7 - a - 2*a - a**2. Let z(j) = j**3 + 5*j + 5. Let l(g) = -g**3 + g + 1. Let v(u) = -5*l(u) + z(u). Let q be v(-1). Determine i(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**3 - 2*f**2 - 2*f - 23. Let n(r) = -29*r**3 - 11*r**2 - 11*r - 114. Let s(u) = 2*n(u) - 11*q(u). What is the first derivative of s(y) wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53.46 - 68.1. Let k = -0.36 + i. Let y = k + 11. What is the third smallest value in y, 4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1801, -1797, -1799, -1813, -1845?\n\"Answer: -o**3 + 3*o**2 + 2*o - 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Let d(h) = -41*h**2 - 491*h + 16. Let w be d(-12). Let l(a) = a. Let q be (-2)\/(-2) - (0 - 1). Suppose -k - 3 - q = 0. What is k*l(m) + w*z(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 557960.4 tonnes?\nAnswer: 557960400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.00000233 - -20. Round q to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3778968 = -3778969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4. Let y = -85.546 + 85.346. Sort x, y, 0.02.\nAnswer: y, 0.02, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 4*u**4 - 5*u**4 + (-4*u**2 - 2*u**3 + 4*u**2)*(2 + 2*u - 2) - 2*u**2 - 4*u**2 + 2*u**4 + 4*u**2 + 3 - 3*u**4 - 3.\nAnswer: -16*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - 200120?\nAnswer: -201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -21*f**2 - 8*f - 8. Let w(r) = 11*r**2 + 5*r + 4. What is 2*p(y) + 5*w(y)?\nAnswer: 13*y**2 + 9*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 116 + 28. Let k = 70 + y. Suppose 3*i - 10 = 26. Calculate the remainder when k is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:24 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -19.953. Let g = -23.047 + b. Let w = g + 22.908. What is w rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/10)\/(((-243)\/189)\/((-45)\/42))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, e: 2, c: 1, q: 2}. Give prob of picking 1 e, 2 q, and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3\/((-60)\/(-8)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-112)\/(-196) + 10\/7. Solve -3*b + 19 = -5*y - 10, l*y = -3*b + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -12. Suppose -g*a = -8, 0 = -r - a + 2*a. Calculate the remainder when 55 is divided by 0 - -3 - (r - 13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39512782 and 1268.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 divided by -374?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + -8 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 - (30 - 34 - ((-5 - 0) + -38)))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9654886, -38619543, -86893968, -154478161, -241372122, -347575851?\n\"Answer: -9654884*g**2 - 5*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 6*k - 6. Let h be y(-5). Let i be (0 + h)*0\/2. Suppose g + 0 - 5 = 0, 2*r + 3*g - 1020015 = i. What is r rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:50 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649512 and 1178.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f714 - -123?\nAnswer: -3f5f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/15 and 64\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 n, and 1 k when four letters picked without replacement from koonnnln?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -68, -102, -136, -170?\n\"Answer: -34*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*1 + sqrt(275) + -2 + 1*(1 + sqrt(275)) + -5*(4*sqrt(275)*-5)**2.\nAnswer: -550001 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1328 and 590960?\nAnswer: 590960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -20 + 10 + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*c + 38*c - 20*c)*(13 - 15 - 34)*(-4*c + 2*c + c) in the form x*c**2 + t + o*c and give x.\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-630)\/(-735))\/((-3)\/(-28))*(-5)\/4. Let v(k) = k**3 + 9*k**2 - 20*k - 3. What is v(h)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-98)*7 + (-34)\/(-70).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x**4 - 4*x**4 - 2*x**4)*(-5 - 3 + 2).\nAnswer: 108*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166892069.\nAnswer: 3, 7, 55566289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47917 - -98327\/2. Let d = u - 1294. Let i = 357 + -3931\/11. Calculate the common denominator of i and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1.1, 0, 53, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70.8 - -0.8. Let a = r + 70.3. What is the biggest value in a, -3, -0.4, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57878798 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 1. Let h(u) = 8*u**2 - 2*u + 2. Let w(y) = h(y) - 3*l(y). Give w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5 + 11 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*w - 16, 3*w = 5*m - 119 + 14. Let p be ((-694)\/(-6)*1)\/(3\/m). Let s = 1345\/2 - p. Find the common denominator of -113\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**2 + 0*t + 112897 - 112897 - t + t.\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(3*k**2 + 4 - 4)*(-22*k**3 - 34*k**3 + 12*k**3).\nAnswer: 132*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.032, -3, 4, -18 in decreasing order.\nAnswer: 4, -0.032, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00063425 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -757\/7 + 108. Sort o, 0.2, 0.03.\nAnswer: o, 0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 5 + 4*q - q**3 + q**2 - 4*q**2 - 5*q to the form n*q**3 + l + o*q**2 + k*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217ab (base 12) to base 11.\nAnswer: -30349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1556310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91622?\nAnswer: 2, 61, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36450, 36493, 36510, 36489, 36418, 36285, 36078, 35785?\nAnswer: 35394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00281 and -3.\nAnswer: -0.00843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -6, 4, -1258 in decreasing order.\nAnswer: 4, 3, -3, -6, -1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 39643700?\nAnswer: -1\/9910925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -17*p + 10. Let u be c(6). Let s = u - -502. List the prime factors of s.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**2 + 12*n**2 - 12*n**2)*(78 - 132 + 88)*(1 - 2 + 4).\nAnswer: 1122*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(12\/11)*(j\/(j*j**(-1)*j))\/j)**(-2\/45))**(-45) assuming j is positive.\nAnswer: j**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(11) - (sqrt(11) + (sqrt(539)*-1 - sqrt(11)))))\/(sqrt(1008) + sqrt(1008) + 2*-3*sqrt(1008) - sqrt(1008) - sqrt(1008)) + -5.\nAnswer: -5 - sqrt(5)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -32\/3. Suppose -218 + 18 = -4*h. Let w be 4\/h*25\/(-15). What is the second smallest value in w, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 6*p + 2. Let k be 4*(-1 - (-10)\/4). Suppose 4*b = b + 3*i - 9, -5*b + 3*i - 5 = 0. Suppose -k*c + c = 0, -5 = x - b*c. Give g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9138 a factor of 741119214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7052 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 708*z + 709*z - 2, 0 = n + 2*z + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34002979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 10*d - 7*d. Let w(n) = -n**3 + 10*n**2 - 5*n - 19. What is the remainder when d is divided by w(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -54?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7538410*a - 52768867. Give y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5213227496 - 5213227496 - 5*n - n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = -11*u - 34 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -608, -629, -648, -653, -632, -573?\n\"Answer: 2*j**3 - 11*j**2 - 2*j - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(112\/(-44)))\/((-19)\/(-76))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)\/(m\/m**2))\/((m*m*m**(2\/3)*m)\/(m*m\/(m**(-2)*m)*m))*(m**6*m)\/m**6*((m*m*m*m**(-3\/5))\/m)\/m**2 assuming m is positive.\nAnswer: m**(167\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9640 is divided by 357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(14\/12))\/((-201)\/938).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1091562209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/10 + 161\/(-345). Let w(r) = -r**3 + 3*r**2 - 2. Let y be w(3). Let q be 2\/(y\/(-3)*3). Which is the nearest to 0.1? (a) -3\/2 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2735*k**2 - 26*k - 22. Let m(r) = 2051*r**2 + 19*r + 16. Calculate -11*m(x) - 8*q(x).\nAnswer: -681*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11539898891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j. Let i be y(-4). Let u be (-2 - -2) + 1 + 3. Suppose c - 15 = -u*q, q - 9 = 3*c - 2. Solve -5*m + 10*m - l = 27, i = 2*l + q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 2305 = -2734. Let o(j) = 63*j + 687. Determine o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171.409 + -94.446. Let f = a + -77. What is f rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -417 - -216. Let n = -199 - f. Determine g so that 3\/2 + 2*g + 1\/2*g**n = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 17. Let d = -2.95 + -0.05. Let k = d - -2.6. Which is the third biggest value? (a) -0.2 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*p - 39 = p - 11*v, -18*p + 17*p + 4*v = 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:21 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-2\/15)*u\/(u**(2\/55)\/u)*u\/(u*((u*u**(-3))\/u)\/u)*u\/u**15 assuming u is positive.\nAnswer: u**(-1139\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - -4.06. Let z be 6\/(-4) + 3\/2. What is the closest to 0.5 in -0.4, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-27)*(-1980)\/1760.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*6\/(-9))\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssissiisslsssi.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15117112 - 3?\nAnswer: -15117115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**4 + 3*f**2 - 5*f - 4. Let w = 10 + -5. Let l(k) = 5*k**4 - k**2 + 3*k + 2. Let y(d) = w*l(d) + 3*o(d). Factor y(x).\nAnswer: -2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 53406723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5867b3 (base 14) to base 13\nAnswer: -8170c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 = -3*w + 7*w, 16 = -4*w. Suppose -h*n + 2*c - c + 173 = 0, 5*n = 4*c + 434. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 10716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-2*sqrt(3388))**2 - -4*((sqrt(175) - (sqrt(175) + 1 + sqrt(175) + -5 + sqrt(175))) + -3)**2.\nAnswer: -80*sqrt(7) + 70567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4831*b**2 - 15129*b**2 - 14776*b**2 + 1894*b**2 in the form g*b + r + j*b**2 and give j.\nAnswer: -23180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + ((-20)\/5 - -10). Let g(p) = -8*p - 5 + 7*p**2 + 3*p**2 - 7*p**a. Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0268 - 299.9732. Let z = 1638.3 + -1914. Let h = p - z. Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(5) + sqrt(80)))*2.\nAnswer: -50*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7647799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.9 + -18. What is the biggest value in 3, n, 5, -1\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s + 8*s + 4*s - 16*s. Let u(o) be the third derivative of o**5\/60 - 2*o**2. Give u(l(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 3. Let v be y(0). Let z = v + 7. Let j(s) = -s**3 - 2*s**2 - s + 2. Let d be j(0). Solve d*m = z*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -2584.\nAnswer: -77520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/13, 2, 53\/28?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 4, 6*x + 2*f + 7*f = 4*f + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.988*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -119.2, -0.3, 9\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 - -158. Suppose -u*m - 31 + 111 = 0. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 1, o: 3, z: 3, u: 6}. What is prob of sequence fun?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 21725967880?\nAnswer: 21725967880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/8 - 7*t**4\/8 + 5*t**3\/8 + 75*t**2\/8 = 0. What is t?\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -8)*(1 + -2). Let j(l) = -3*l**3 + 12*l**2 - 3*l. Let h(s) = -4*s**3 + 18*s**2 - 5*s - 1. Let d(o) = -5*h(o) + 7*j(o). Give d(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 8*p = -4542. Suppose 2*w - p = t, 10*w - 14*w + 1510 = 2*t. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*l - 209*l - 317*l + 5072*l.\nAnswer: 5468*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**3 - 179*o**2 + 368*o - 19. Give n(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2)\/(1\/(-4)). Let l = 6 + -22. Let a(y) = 2*y + 35. Let z be a(l). Solve -z*o - 2 = k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/180 - 8*w**3\/3 - 17*w**2. Let x(b) be the first derivative of s(b). Let p(h) = h**2. What is p(x(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 888, -6, -4 in descending order.\nAnswer: 888, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 + s + 1. Let c = 1 - -14. Suppose 3*u - 5 - 10 = -3*f, 3*u - 5*f - c = 0. What is o(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4084*f - 16432. Is c(13) a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**(-4\/15)*(w\/w**1)\/((((w**(4\/5)\/w)\/w)\/w)\/w*w))\/((w*w*w**(-5\/4)*w)\/(w\/(w\/(w\/(w\/w**(2\/9))))))**(13\/5) assuming w is positive.\nAnswer: w**(-83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620377 is divided by 38773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/15 + n**3 - 7*n**2. Differentiate d(y) wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 250.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 r when three letters picked without replacement from rcngbgz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - 11*n + 1. Let d(x) = 0*x + 0*x + 5 - x - x**2 + 0*x**2 - 4. Give -d(l) + t(l).\nAnswer: -l**3 - 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5700993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + (-3 - 0))*12. Solve -3*j + 3*v + 28 = 2*j, 2*j = 2*v + t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 138603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/5))\/i**(-6))**(3\/14)\/((i\/i**(-5))\/(i*i**(5\/3))*i**(2\/17)*(i*i**(2\/11)\/i*i*i)\/i) assuming i is positive.\nAnswer: i**(-126391\/39270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 496\/3, 0.2, -0.1, 40, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from vppvvpvpvpppvvpvpvpp.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 6*o - 3. Let m(j) = -4*j - 4. Let z be m(-3). Let d = -3 + z. Give s(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -16) + 16 - 33\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1350 and 41\/4530.\nAnswer: 203850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.0095 rounded to 2 decimal places?\nAnswer: -16.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10045421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241\/68 - (2 - (-28)\/(-16))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024341 rounded to 5 decimal places?\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/23, 2.968, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -18. Let w(b) = b**2 - 9*b + 16. Let o be w(q). Let h be 2\/o - (412799956\/16 - -3). What is h rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102*1*(-2)\/12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5972 is divided by 130.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.1. Let a = -4.5 - s. Let k = -196 + 196.1. Put a, -0.2, k in descending order.\nAnswer: k, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = -19 + 229. Suppose 0 = g*a - 16*a + 5*m + 74, -5*a + 426 = 3*m. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10664654779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:09 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22617098.99 rounded to the nearest 1000?\nAnswer: 22617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -9. Let y = -642 - -644. Calculate the highest common divisor of y and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 3, k: 6, l: 1, a: 2}. What is prob of sequence al?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + p)*(1 - 3 - 1) + 9*p + 20*p - 25*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*t + 8 = 3*i, 12 = -2*t + 4*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -61437 (base 10) to base 4\nAnswer: -32333331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82532 is divided by 7460?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -33, 12, 4, -1, 8, 1 in ascending order.\nAnswer: -33, -1, 1, 2, 4, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6. Let p(h) = -5*h - 1. Let d be p(t). Solve -2*r = -7*r - 5*g + 30, -d*g + 27 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20995 less than or equal to 20975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 51, 3, -924, -3.\nAnswer: -924, -3, 1, 3, 10, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/5159*-33*(-3)\/(-3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*b - 176*b - 56*b + 4*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 8:46 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 11, -0.047, -4\/245.\nAnswer: -3\/5, -0.047, -4\/245, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yghgg. Give prob of sequence ygg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + 0.4. Let b = -1161 + 1160.5. What is the second smallest value in b, s, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*c**4 + 16*c**4 - c**4 + (7*c**4 + 5*c**4 - 5*c**4 + (-10 + 8*c**2 + 10)*(2*c - 2*c + 2*c**2))*(2 - 3 + 0).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 2, a: 1, e: 1, n: 1, h: 1}. What is prob of sequence nao?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.759, 5 in increasing order.\nAnswer: -13, -0.759, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -0*p + 2*p + 6, 5*b - 3*p - 9 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 257800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**3\/3 + 5*g**2\/2 + 5*g - 109. Let i(f) = -3*f**2 + 6*f + 6. Calculate 5*i(k) - 6*q(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*k + 16, 3*k + 2 = -3*i + 20. Suppose 0 = -0*n - 5*n + k*x + 540, 3*x - 12 = 0. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3621978.07 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/140 - 15\/25?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Suppose -3*u - 28 = -0*l - 2*l, f*l + 5*u - 44 = 0. Solve 0 = 3*b + 15, z - 5*b - 7 = l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*(sqrt(2) + -1))**2 + sqrt(2)) + -2 - -6*((sqrt(40)\/sqrt(4)*3)\/sqrt(5))**2.\nAnswer: -142*sqrt(2) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/1875950 and 36\/575.\nAnswer: 43146850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 4*w**2 + w - 9. Let q be r(4). Let z = -177.8 - -178. Which is the third biggest value? (a) -1\/3 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 9298 (b) 0 (c) -3\/10 (d) -5\/6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102132 + 0?\nAnswer: -1102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 - 9*u**3 - 2*u - 2*u**4 + 3*u**3 + 5*u**2 + 0*u**3 in the form l*u**3 + q + z*u**4 + b*u**2 + r*u and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*d - 44183, 2*y + 11057 = 12*d - 11*d. List the prime factors of d.\nAnswer: 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5343295, -10686582, -16029869, -21373156?\n\"Answer: -5343287*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17475285 and 555.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 times -319363?\nAnswer: -33533115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 39*k**2 - 147*k - 1644. What is p(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/288 + -7\/32. Let q = -0.1 + 0.1. Sort q, -1, w in decreasing order.\nAnswer: q, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nafqdja. Give prob of picking 1 a, 1 f, 1 d, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Suppose 2*s = -x + 34, -3*x + x - 60 = -4*s. Let l be (s\/24)\/((-2)\/(-9)). Let k(m) = 1 + 16 - 5 - 6 - 5. Give l*k(w) - q(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -2 - -3 - -7. Suppose h - t = 5400001, w*h = 3*t + 7038731 + 19961272. What is h rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 4*m**5 + 0*m**5 - 3*m**5 - 3*m**5 + 4*m**5 + (-5*m**3 - m**3 + 0*m**3)*(2*m + 2*m**2 - 2*m).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -191755\nAnswer: -4\/191755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88))\/sqrt(8))**2 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {u: 2, p: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 322609 + -628542. Let y = 153933 + i. What is y rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 212?\nAnswer: 25652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2451778 and 2555.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*d + 6 = 0, 4*d - 6*d = -3*r - 60. Let q = r + 21. Suppose -2*w + 9 = w. Calculate the greatest common factor of w and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 114\/(-4)*4\/(-3). Suppose -j + c = -5. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 509 = -72*h - 358 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 5940706*c**2 + 142577808*c + 855468576.\nAnswer: -2*(c - 2970377)*(c + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 13\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 29 (c) 2\/7 (d) -28 (e) -3 (f) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**2 - 10*r + 172. Let u(i) = 11*i**2 - 12*i + 180. What is 6*k(p) - 5*u(p)?\nAnswer: 17*p**2 + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -377*g + 2887 - 185*g - 2886 to v*g + y and give v.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2562 - -0.2562. Which is the fifth smallest value? (a) -9 (b) -3 (c) 0.5 (d) j (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.29 and 36.7?\nAnswer: 37.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c + 2*b - 14 = 0, -29 = -4*c - 3*b. Find r, given that 6*r**3 - 8*r + 2*r**4 + 8*r - c*r = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 - 9*j**3 + 11*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*((-3)\/(-5) + 33\/(-30)). Let m(n) = n**2 - 10*n + 27. Let c be m(a). Is 17\/6 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -22, 59, 224, 503, 926, 1523, 2324?\nAnswer: 3359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 7*x**2 - 13 + 4*x**2 to y*x**2 + g + f*x and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 12.905. Let r = -1.905 + f. What is the second biggest value in r, 3, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 820?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1100?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.059208 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 227?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -20. What is the smallest common multiple of a and 34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48733415?\nAnswer: 5, 353, 27611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -9. Suppose 3*t - w - 9 = -4*w, -2 = t - f*w. Solve 2*j + 8 - t = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(4\/(-1)))\/((-42)\/546)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -7 - (16 - (-5 + 12)) - (-10 - 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1319186, -2638482, -3957880, -5277380?\n\"Answer: -51*f**2 - 1319143*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*o + 2*k = 53, -2*k + 3*k + 20 = -o + 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*u - 655 + 988 + 1078 = 0 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - v + 6*v - 1.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose -n*k + 9*k + 5 = 0. Let i(f) = 2*f - 2. Let o(t) = -t - 4*t + 4*t + 1 + 0. Calculate k*i(r) - 3*o(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/77 and -61\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:10 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5884.63112 rounded to the nearest 10?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -7*g**7\/30 - g**5\/20 + 11*g**4\/24 + 5*g**3\/3 + 874*g**2. What is the second derivative of i(p) wrt p?\nAnswer: -588*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 9 - 8 = 19. Solve 11 = o*p + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 2*m + 5)*(-10*m**2 - 6659*m + 6659*m) as l + g*m**2 + b*m + q*m**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-27)\/6)\/3)\/((-162)\/(-48) + -3). Let s(h) = 39*h**3 + 7*h**2 + 7*h - 5. Let d(z) = -20*z**3 - 4*z**2 - 4*z + 3. Give b*s(n) - 7*d(n).\nAnswer: -16*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2 + 2)\/(10\/(-50)). What is the second smallest value in h, 0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let i(t) = 5*t + 6. Let d(q) = -6*f(q) - i(q). Suppose 4*u = 4 + 4. Let w(v) = -2*v**2 - 2*v + u*v. What is w(d(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 33. Suppose -3*x = -4 + 10. Let h be ((-25)\/(-10) - x)*2\/3. Solve h*q + 2*j - 20 = -p*j, 4*j = -q + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = 1. Let j(l) = 3*l**2 - 19*l - 2. Let t be j(7). Suppose t*f - 19 = -5*x + 11*f, 4*f = x - 8. Solve -x*m - z*b + 8 = m, 0 = 3*b + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -1 - (-2 - (4 + 1))) + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*n**3 + 5 - 5 - 21*n + 19*n + 3*n**2 to the form g*n + y + h*n**3 + k*n**2 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*q**3 + 3*q**2 - 891*q wrt q.\nAnswer: 972*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 5 = 0. Let z be 6 + -1 - 0\/m. Let p = 25 - z. Solve -5*i + 5*f + p = 0, -20 = i - 0*i + 5*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109680 - 9651735\/88. Find the common denominator of ((-4)\/30)\/((-16)\/594) and f.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/2)\/u)*u**(-5)\/u)\/(u**(2\/3))**(-3\/19) assuming u is positive.\nAnswer: u**(-129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let x be (-59 - (g + 3)) + -2. Is 1\/(-2 - x\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 2. Let z be v(0). Suppose -2*n + 0*n + 10 = -4*g, -2*n + z*g = -4. What is the units digit of 22*(n + 9\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8390567 is divided by 64050?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*y**2 - 24*y**3 - 18*y**2 + 2*y**4 - y**4 + 3 + 25*y**3 - 2 in the form u + i*y + o*y**2 + h*y**3 + d*y**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41 + 0 + (1 - 0). Suppose k = -2*m + 6. Let a = m - -40. Round a to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r**2\/7 - 498475176*r\/7 + 10353229212009624\/7 = 0 for r.\nAnswer: 41539598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((-3)\/(-6))*(-1190)\/833?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) -3 (c) 0 (d) -28\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1629370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60097, 120188, 180279, 240370?\nAnswer: 300461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -21. Suppose -3*m = m - q. Suppose -m = -0*a - 2*a. Solve 2*z - a = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 90441.\nAnswer: 723528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8*(-14)\/6)\/(47\/188).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1385, 3366, 5335, 7286, 9213, 11110, 12971?\n\"Answer: -o**3 + 1988*o - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*k = -3*j + 5, -2*k + 2 = -2*j. Does 11 divide 165*((-3)\/36)\/(1\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(250) - -2*sqrt(250)).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 13. Let y be k(-10). Suppose -2*s + 21 = -s - 3*j, j = y*s - 87. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 250003770 to the nearest 1000000.\nAnswer: 250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2542 (b) 0 (c) 0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 rounded to the nearest ten?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 - 338.9. What is the third smallest value in x, 0.11, 0.17, 3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*16\/12)\/(19\/(-114)). Let x(f) = -2*f - 46. What is x(l)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21*((-2)\/(-3) + 0). Let u = 0 - t. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5 = -2*t. Let s = -175 - -179. Suppose -10*d + 162 = -s*d. Calculate the smallest common multiple of t and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79219 and 2429.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by 3.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(5\/((-5)\/(-1))). Let j(u) = -u**3 + 5*u**2 + 7*u - 2. Let n be j(6). Find the third derivative of d**n - 2*d**4 - 4*d**y - d**2 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c8 + 4?\nAnswer: -1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 - 13505.\nAnswer: -13504.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 154 (b) 0 (c) -77 (d) -1.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -581830 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 70690, -351, -5 in decreasing order.\nAnswer: 70690, -3, -5, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*t - 152 - 6666, -2*x = 2*t - 4552. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77055*w**2 + 77056*w**2 + 77036*w**2 - 231148*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -130381*c + 768. Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/42)\/(-8)*(-2)\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 357\/19 + -8230\/437. Which is the nearest to -1? (a) -0.2 (b) n (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-3)*60\/(-40). Suppose -13 - 67 = -l*c. Solve -3*b = -4*j - 5 + 37, 4*j - c = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/238 and -89\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 0) + (-14 - -12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 + 244. Which is the biggest value? (a) j (b) -6 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 - s. Let x be r(1). Let v be 2\/x - 301\/(-21). Let m = v - 4. Calculate the highest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*i**2 + 98 + 21 - i - 212 - 116*i**2 + 94.\nAnswer: -418*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-15)*-5*6\/4. Let n be 2\/b - (-32)\/(-12). Let u be (8\/12)\/(40\/18 + n). Solve 2*w = -w + u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1155 = -397. List the prime factors of g.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/192*(-12)\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20281900.343084 + 20283631.4. Let p = n - 1680.057. Let z = p + -51. What is z rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 14 = 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 40810*u**2 + 163175*u - 122370.\nAnswer: 5*(u - 8158)*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3059 + -3058.5. What is the closest to -2\/5 in 309, 4, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46, -49, -60, -85, -130, -201?\n\"Answer: -p**3 + 2*p**2 - 2*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -872018643*a**3*w**2 + 151*a**3*w - 58*a**3 - 245*a**2 wrt w?\nAnswer: -1744037286*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 52 + 12. Let u be w\/(-15)*18\/4. Solve v = -u*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.8 and 58?\nAnswer: 278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/13)\/m*m)\/m)\/(m*m\/(m*m*m**14))*(m**(-6))**(30\/13) assuming m is positive.\nAnswer: m**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140.13 - 137.13. What is the third biggest value in -267, 1\/5, u?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11556260 divided by -577813\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80410*s**4 + 9*s**2 - 4*s + 131 wrt s.\nAnswer: 1929840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3537433 and 1051.\nAnswer: 3538484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(51\/(-60))*8\/(-140).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81334, 325151, 731460, 1300261, 2031554, 2925339?\nAnswer: 3981616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.365 + 1.995. Let t = l - 6.63. Let s = 7 + -6. What is the nearest to s in -2\/23, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (39 - 9 - (7 - 0)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/5 + 46*n**4\/5 + 52*n**3 - 236*n**2 - 258*n\/5 + 1134\/5 = 0.\nAnswer: -7, -1, 1, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c - 5*j + 36, 4*c = 3*j + 4. Suppose 0 = -4*s + 65 - 21. Suppose c*k - w = 17, 2 = 2*k - 5*w - s. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(2\/(-18)). Let d be (1012\/1771)\/((18\/(-21))\/3). Sort 12, d, y in increasing order.\nAnswer: d, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-610)\/80 + 8 - (82\/(-16) + -3)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 + 2*t - 7. Let m be w(5). Let c be m*(-1 - (-6)\/9). Calculate the remainder when -1 + 7 - (-4 - c) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 559*r**5 - 1116*r**2.\nAnswer: 33540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 6 (c) -6 (d) 4 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23148 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 23. Let n(l) be the second derivative of -l**5\/60 - 6*l**2 - 93*l. Let q(b) be the first derivative of n(b). Calculate i(q(j)).\nAnswer: j**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -9.64, 1480.\nAnswer: -9.64, -3\/5, 1480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77257.\nAnswer: 23, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h + 7*h - 4*h - 32*h + 125*h + 176*h.\nAnswer: 291*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 2210?\nAnswer: 30940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7495955 is divided by 843?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.1 (b) 0.5 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 163788 * 5\nAnswer: 818940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 332*i**3 + 23460108*i**2 - 188267480*i + 4522944 = 0?\nAnswer: -70671, 2\/83, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.79 + -0.11. Let m = y - -3. Let r = -0.4 + -0.1. What is the closest to 1 in m, -2\/11, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(5\/4)*a*a**(-29\/3) assuming a is positive.\nAnswer: a**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rtttrrrttttrtrtrrrtr?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 36*i**2 - 22*i + 70. Let p(d) = 14*d**2 - 9*d + 29. Let u(a) = 12*p(a) - 5*w(a). What is u(2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1704\/19 - -17293\/171. Is n at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98 - (-4)\/(-12)*15?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -0.4 (c) 0.3 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1555*z - 1558*z + 51. What is the remainder when 28 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240051 at least 6720149\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 8*y**2 - y - 11. Let f be j(-10). Suppose 2*k - f = -7139. Is 3\/15 - k\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*x - 2, 3*w + 4 = 5*w - 2*x. Suppose 55 = -5*p + 4*r, -w = p + 2*r - r. What is the smallest value in p, -0.1, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6 - (-8)\/(-4)*-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 4*c. Let a(p) = -2*p**2 + 2*p + 5. Let i(j) = j**2 - j - 2. Let z(n) = 2*a(n) + 5*i(n). Determine u(h) + 4*z(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4354431831 to the power of 1\/2, to the nearest integer?\nAnswer: 65988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = 5*x, -u - 11 = 5*x - x. Let r(q) = -16*q**3 + 7*q**2 - 3*q - 4. What is the units digit of r(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 0 + 24. Let h(o) be the second derivative of 7*o + 0*o**y + 0 - 1\/6*o**3 + 0*o**2 - 2\/5*o**5. Find the second derivative of h(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237461*z**5 + 377283*z**2?\nAnswer: 14247660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506593252 by -11.\nAnswer: -46053932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24665300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45198 divided by 81.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + -7 + 2 + (-3 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14355, -303 in descending order.\nAnswer: 14355, 0, -303","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**3\/3 - 3*r**2\/2 - r - 15. Let j be x(0). Let s(t) = t + 1. Let o(q) = 4*q - 3. Let z(v) = j*o(v) + 3*s(v). What is z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24012413 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)\/((s*s*s\/(s*(s*s**(3\/8))\/s))\/s))**38 assuming s is positive.\nAnswer: s**(-1767\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1379*f - 1392*f = 429 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -514 - -2055\/4. Let c = 8.6 - 3.3. Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75392*s + 5*s**2 + 0 + 0 - 75392*s.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*y. Let f = 50872 + -50872. What is the closest to f in -7, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1679839 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 146*b + 9349. What is the hundreds digit of i(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164 + -96. Let n = -67.5 + v. Let d = 1\/27 - -11\/27. Which is the closest to 0? (a) 1\/4 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -57275 + 57071 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-370)\/2960)\/(5\/8)*(-33)\/6.\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 94*i - 475. Let m be b(5). Let v(l) = -l**3 - 4*l**2 + 6*l + 6. Calculate v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3928*j = -3911*j + 102. Let m(u) = -u**3 - 10*u**2 - 27*u - 13. What is m(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -4369027\nAnswer: -2184513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 756, 1481, 2192, 2895, 3596, 4301?\n\"Answer: t**3 - 13*t**2 + 757*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*n = 8, -4978*m + 4980*m + 10 = n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6. Suppose 0*u - 3*u + 6 = 0, y*z + 3*u = 18. What are the prime factors of 245\/15 - z\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.6. Let r = v - 2.4. Which is the second smallest value? (a) 2\/5 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.9, -0.4, -3\/7, 1\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 9. Suppose -2*d - d + q = 0. What are the prime factors of (-3)\/(6\/(-4))*d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 31 = a + 4*a, 0 = -a + 2. Let n be 2\/(-7) - (195\/m + -3). Calculate the highest common divisor of 132 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**3 + 4*u**2 - 5*u - 4. Let s(p) = -p - 21. Let b be s(-12). Let x(y) = -7*y**3 + 9*y**2 - 11*y - 9. What is b*g(h) + 4*x(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4211 times -0.05\nAnswer: -210.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(20*d + 16*d - 42*d)*(2*d**2 + 0*d**2 - d**2).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12\/j)\/(j\/(j*j**4)*j) assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7)*-2 - sqrt(7) - sqrt(63)\/sqrt(225))**2*-1.\nAnswer: -1817\/25 - 32*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3003 - 13133?\nAnswer: -22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 3*c + 4*z - 159, -3*z = 2*c - 259. Solve -c + 72 = -10*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 100566016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -2\/5 (c) 2 (d) 15\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + l**2 + 1. Suppose 79 = 15*r + 4. Suppose 7*i - 12*i = d - r, -i - 2*d = 8. Let v(c) = 2*c**3 - c**2 - 1. What is i*s(p) + 2*v(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*i**2 - 952 with respect to i.\nAnswer: 244*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-2 - -4) - 6. Let q be (-5 - -5)\/(-1 - r). Suppose 0 = -q*g + 2*g - 78. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/11040 and -61\/311880?\nAnswer: 1247520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706232 is divided by 4395?\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409 + 38*t**2 - 816 + 408.\nAnswer: 38*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let h = 95 + -47. Let f = h + -40. Which is the closest to t? (a) f (b) 5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1668 and 436596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -32*n + 989. Let w be z(31). Let k be (-4)\/5*20\/8. Sort -14, w, k in decreasing order.\nAnswer: k, w, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24284*f**3 + 223*f**2 + 44572220*f?\nAnswer: -145704*f + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + (-290)\/(-102))*12\/16. Let h = -0.06 + 3.06. Which is the closest to 0.1? (a) v (b) h (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:18 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*q + 657 - 784, 0 = 11*q + 4*g + 103 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**25\/(d**(-3))**37 assuming d is positive.\nAnswer: d**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2218, -8692, -19488, -34606, -54046, -77808, -105892?\nAnswer: -138298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8989 - 8339. What is the highest common divisor of 800 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -22304406?\nAnswer: 22304363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 20 - 33) + 26 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-6))\/(3\/9). Let k be (-4)\/s + 6\/(-15). Let j = 3 - k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4753 (base 8) to base 15.\nAnswer: b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w - 5878 + 20956 = 0. Is 2147\/6 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8157402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:41 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306 - 306 - 6*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1555078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*r = 72, 4*j + r = -0*j + 51. Let c = j - 9. Solve -f = -4*f + 4*m + c, f + 5*m = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-30) + ((-12)\/(-10))\/(-3). What is the third biggest value in 2, f, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -754 + 2801. What are the prime factors of f?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37\/2 + -19. Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001011111 (base 2) in base 6?\nAnswer: 55555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/120 - j**5\/6 - 5*j**4\/12 - j**3 + j**2 + 5*j. Let x be v(11). Solve 46 - 46 = x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e7c - 18?\nAnswer: -2e94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*w**2 - 315*w**2 + 1453*w**2 - 388*w**2 - 392*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpx when three letters picked without replacement from xpkjp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:19 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let q = m - 2. Is q >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1088939051*c**2 + 3*c + 127228043 wrt c.\nAnswer: -2177878102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6698093*i**3 + 3349053*i**3 + 3349043*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28973 and 63?\nAnswer: 260757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 453765?\nAnswer: 45376a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 5 (c) -1\/3 (d) 0.093\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/7 - 6138*j**4\/7 - 11514*j**3 + 606804*j**2\/7 + 9708435*j\/7 + 16443174\/7 = 0 for j.\nAnswer: -11, -2, 11, 2059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 9?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -7*k**4\/4 + 11*k - 8. What is the derivative of m(t) wrt t?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:05 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/251 + 484\/2259. Let r = -1.2 + 1. Let g be (-96)\/189 + 4\/18. What is the closest to g in -5\/4, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 + -103. Let s(g) = 22*g - 230. Calculate the smallest common multiple of s(i) and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338754?\nAnswer: 2, 3, 13, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((0 + sqrt(684))*-1 - (2 + sqrt(684) + 3 - sqrt(684))) + 5)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/20 - s**4\/2 - s**3 - 33*s**2\/2 + 9*s - 6. Calculate c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447818 divided by 5\nAnswer: 447818\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3546)\/18)\/((-1)\/2). Let r = i - 383. Suppose 0 = -2*s - 2*s + 8. Solve 7*y + 2*w = 2*y - 15, -y = s*w + r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 50*n**2 - 4*n - 2208.\nAnswer: 2*(n - 6)*(n + 8)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67044740?\nAnswer: 2, 5, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {n: 2, i: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/1919947 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnpjnnpj. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.133 - -9.867. Let s = 20 + k. Let l = 26 - s. Which is the third biggest value? (a) 0 (b) 0.9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1430 + 1443. What is the remainder when 774 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-1 + 6 - -3) - 16) + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2905*n + 331196. Determine h(114).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 7:46 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-12))\/((-15)\/(-18)). Suppose -2*x - x = -n*x. Suppose x - 9 = -3*m, -2*v + 21 = m. Solve 0 = -2*g + 4*o - 18, 0*g + v = 2*g + 5*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14262, -29355, -44436, -59499, -74538?\nAnswer: -89547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/(-75))\/(1\/(-60)). Let l(s) = 2*s**2 + 2*s. Let q be l(-2). Suppose -q*m + 120 = o. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8321 divided by 53.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7886 - -7887. What is the smallest value in 0.1, -64, o, 0.5?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241.2 - 242. Which is the closest to -0.1? (a) 4 (b) 2\/11 (c) 2\/5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 72820*m\/3 + 14423158\/3.\nAnswer: -2*(m - 36607)*(m + 197)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65762271 and 1017.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352146104?\nAnswer: 2, 67, 656989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 505518279 rounded to the nearest 100000?\nAnswer: 505500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 352122960 to the power of 1\/2, to the nearest integer?\nAnswer: 18765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 399, 394?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95432\/45 - -19036\/9. Let t = 3715\/6 - 1898593\/3066. Calculate the common denominator of r and t.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/5)\/(2 - -1). What is the third smallest value in g, 0.06, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-3))\/(6\/981)?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -6, 5 in decreasing order.\nAnswer: 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50634655*s**5*w + 2*s**5 + 3*s**2 + 7*s*w - 406*w + 536 wrt s.\nAnswer: -3038079300*s**2*w + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1291*x + 3902. Calculate k(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 143, -2306, 0 in ascending order.\nAnswer: -2306, -2\/9, 0, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 2*d**5 - 2*d**3 + (-1 - 2*d**3 + 3*d**2 + 1)*(-2*d**2 + 3*d - 3*d).\nAnswer: 2*d**5 - 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:38 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.71394 centimeters to millimeters.\nAnswer: 587.1394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 915 - 823. Calculate the greatest common divisor of k and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, 1, -93, 0.028, 0.1 in decreasing order.\nAnswer: 280, 1, 0.1, 0.028, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-51)*(66\/24 - 2)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 958*u**2 - u - 2*u**3 - 1948*u**2 + 942*u**2 as b*u**2 + w*u**3 + i*u + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100011000101 - 111111001?\nAnswer: -1011101010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 + 3*l + 6. Suppose 5*m = 3*r + 45, -m + r = -2*m + 1. Let o(y) = -2*y + 3*y - 2*y - 1. Let s(j) = m*o(j) + k(j). Factor s(h).\nAnswer: h*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -51, -80, -109, -138?\n\"Answer: -29*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 84 = -3*s. Let r = -6164\/3 - -2075. Calculate the common denominator of s and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-8)\/6)\/(380\/(-57))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/29))**(-1\/4)\/(f*f\/(f\/(f*f**(11\/5)\/f)))**13 assuming f is positive.\nAnswer: f**(-6027\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 722\/6 - 4\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110011111 - -11?\nAnswer: 11000110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3564156 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542613 (base 7) in base 13?\nAnswer: 75811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 312*x + 2868 = -1772 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -1\/6*w**6 + 0*w**5 + 5 + 2*w**2 + 0*w + 0*w**4 + 0*w**3. What is the second derivative of o(f) wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285120 by -5940.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 6. Let s be w(8). Suppose -5*z + s = -2*y, 2*y - 7 = 3*y + 2*z. Let d(m) = -m**2 - 9*m - 4. Is d(y) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103202012 + -32?\nAnswer: 103201320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.128849344\nAnswer: -0.773096064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*n = -5*t + 24, -3*t + 2*n + 3 = 0. Solve t*o - 1 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000013099281 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 115 - 115 in the form b*w + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459 + (11 + -5 - 8).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 29*w + 4. Let c be o(0). Solve 5*q + 3 = z + 28, -c*q + 20 = 5*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiinndnuno. What is prob of picking 1 d, 1 n, and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 21. Let t(m) = 6*m**2. Give d(t(o)).\nAnswer: -72*o**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351397817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4636.31999856 + -4636.3. Let i = k + -0.02. Round i to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*n = -33, 6*j + 77 = 2*j - 5*n. Let l be ((-8)\/(-6))\/((-4)\/j). Solve 0 = -2*m - 0 - l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a3c - -259?\nAnswer: -7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22a83 (base 16) to base 14\nAnswer: 39a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 52 = -4*r. Let k = r - 10. Solve 3*o + o = 5*m - 5, 32 = -4*m - k*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*f**4*r - 13248*f**4 - f**3*r + 17*f**3 - 6*f**2 + 2256290*r wrt f?\nAnswer: 384*f*r - 317952*f - 6*r + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8382\/(-77) + 1\/(-7). Let j = 153 + f. Let g = j - 35. Let c(w) = -4*w - 1. Let d(i) = 17*i + 4. Calculate g*c(q) + 2*d(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000378499537 rounded to six dps?\nAnswer: -0.000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (136224\/209)\/43 - (0 - -15)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a factor of 12395918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381 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: In base 15, what is 1 - -17b284?\nAnswer: 17b285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*g - 3*g. Let k = g + -134\/3. Suppose i - 4*p - 1 = -20, -24 = -4*i - 4*p. Are i and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -33311?\nAnswer: 33231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0*a + 5 - a + (a + 0*a + 2*a)*(-12 + 4 + 5).\nAnswer: -10*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z**2 - 16*z**2 + 455*z**3 - 3 - 3*z - 6496*z**3. Is i(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.7222726 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3, 140*b - s = 135*b + 28. Let n(m) = -8*m - 4. Let g(a) = 13*a + 5. Let z(x) = -25*x - 10. Let w(d) = -7*g(d) - 4*z(d). Give b*n(u) + 4*w(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/6 - 796*s**2\/3 - 105070*s + 424536 = 0. Calculate s.\nAnswer: -798, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.91511ml?\nAnswer: 0.00291511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 67*a**3 - 3*a**2 + 26*a - 24. What is k(2)?\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290248058?\nAnswer: 2, 521, 278549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**3\/3 - 1485*a**2 - 331525*a - 990125\/3 = 0.\nAnswer: -445, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 383467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18410881 (base 9) in base 14?\nAnswer: -1337287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75943 = 53*r + 45323 - 64886. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 32 = -38. Let t(o) = -60*o**2 + 35*o. Let m(b) = 5*b**2 - 3*b. Calculate v*m(z) - 3*t(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232 by 58.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -523.53764 - 0.06236. Round d to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2052 or 2019?\nAnswer: 2052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.7 - -7.7. Sort -4.1, 0, h.\nAnswer: -4.1, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122172 (base 8) to base 5\nAnswer: -2321411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 + o**3 - 2 + 5 + 2. Suppose -3*g = 15, 3*w + 46 = -6*g + g. Let c be a(w). Solve c*q - 4*l = -16, 4*l + 11 = -2*q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3015298870.\nAnswer: 2, 5, 9679, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 32*u + 190. Let b be s(32). Let x be 0 + ((-32)\/2)\/1. Let w = b - x. What are the prime factors of w?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 2:43 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -534903 - -62?\nAnswer: -534841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*2\/6*-3. Suppose 0 = -2*b - n, -2*h - b = -h + 25. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0*z**2 + 6*z**2 + 3 - 5*z**2 + 13*z. Let c be b(-13). Find the first derivative of -1 - 12*i**3 + 15*i**3 + 8*i**c - 1 wrt i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-174)\/(-60))\/(-3 - -2 - 0)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -41. What is the smallest value in 3, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 9*u**2 + 8*u + 2. Let s be (5 + 4)\/(0 + 1). Let n = s + -17. Let q be b(n). Calculate the highest common divisor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -18?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 - 225*v + 126*v + 3 + 96*v. Let s(l) = -6468*l**2. Calculate g(s(m)).\nAnswer: 19404*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1393014 and 2380.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3185 + 0.1.\nAnswer: -3184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 343.975 + -333. Round x to 1 dp.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-16)*0 - 1. Let c be (d + 2)\/(2\/(-4) + 1). Let q be (-9 + -1)*(-1)\/1. Solve -q = -3*o - c*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.354 + -0.746. Let n = h - -31.4. What is the smallest value in 2\/9, 0.1, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575 - 3*a**3 + 4*a**3 - 4408.\nAnswer: a**3 - 4983","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 3*x**2\/2 + 33*x - 21. Let r(m) = -40*m**2 + 157*m. Let i be r(4). Calculate s(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 18*i - 37. Let a be t(20). Put 13, a, 0.3 in decreasing order.\nAnswer: 13, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1152 and -89\/44787456?\nAnswer: 44787456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10220 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = 26664 - 25056 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 82 + 30 = 0. Solve z = -3*r - 4*z - 3, -z = 4*r - s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 2*p**2 + 2*p - 2. Suppose 5*l - 8 = l. Let m be t(l). Find the first derivative of -2*y + 3 + m - 3 + y wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*l - 32, 2*c + 3*c = -5*l + 20. Let u(w) = 6*w - 9. Let q be u(5). Let m = q - l. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 - 645*z**2 - 630*z + 1280 = 0. What is z?\nAnswer: -128, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 24949 = -4*f + 447, 5*g - 42355 = -f. What are the prime factors of g?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -13*r + 386. Calculate the remainder when 76 is divided by r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 + 5*b**2 - 753*b + 1169. Let q(a) = -5*a**3 - 6*a**2 + 751*a - 1168. Let k(m) = 5*q(m) + 6*s(m). Differentiate k(j) wrt j.\nAnswer: -3*j**2 - 763","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**3\/7 + 63*i**2 - 2250*i + 15312\/7 = 0.\nAnswer: 1, 58, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z\/(z**1\/z)*z))\/z))**(1\/34)\/(z*z*z**6*z**5))\/((z\/z**(2\/9))**(-39)*z**(-1\/6)*z*z\/(z**(1\/3)*z)*z) assuming z is positive.\nAnswer: z**(812\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 7 + 48*k - 2*k**3 + 7 - 47*k. Suppose -5 + 15 = 5*d. Determine a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11536059.\nAnswer: 3, 19, 202387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 5138295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:49 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 3*u - 5. Let c be v(-5). Let q = 4 - c. Let a = -2 + q. Put -2, 4, a in ascending order.\nAnswer: a, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/11 != -0.046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 - h + 4. Let s = -2 + 5. Let c(p) be the first derivative of -7*p**3\/3 - p**2\/2 + 7*p + 1. Let b(u) = s*c(u) - 5*l(u). Calculate b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 72 (b) -1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134030 - -3?\nAnswer: -134022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, i: 3, x: 2, c: 5}. Give prob of picking 1 a and 1 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/6 + 23*p**2\/6 - 35*p\/2 + 27\/2 = 0. What is p?\nAnswer: -27, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -q - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:47 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 10*x**4\/3 + 41*x. Let p(g) = -2*g. Give k(p(v)).\nAnswer: 160*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1.472. Let r = z + -0.12. Round r to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 28*c**3 + 19*c**2 + 21*c**3 - 74*c**3 + 22 - 5*c + 24*c**3. Let p be n(18). Let l = -89 + p. What are the prime factors of l?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/39*3\/16*-6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.4 (b) 66458 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -138911?\nAnswer: 13891.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.5471 - -5.6471. What is the closest to -1 in 4, 1, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 24796803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, p: 9}. What is prob of sequence pppa?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*b - 3*l + 2, 3*b + 2*l = 10. Suppose 5*m = 2*y + 30 - 0, b = -5*y - m - 21. Put -2, 9, y in decreasing order.\nAnswer: 9, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -98 + (-4 - -2) + 1. Let u(d) = -d**3 + 4*d**2 - 2*d - 2. Let t be u(2). Does 12 divide b\/((-6)\/t) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) 2403 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = 87*u - 13*u. Let a(r) = -3*r**3 + 4*r**2 + 7. Let k(b) = -5*b**3 + 7*b**2 + 13. Calculate u*k(z) + 11*a(z).\nAnswer: -3*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + v - 8, -3*v + 7*v = -4*h + 24. Suppose 0*g = -g + h*w + 203, -4*g + 823 = 3*w. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3068 = -6*p + 8*p. Let f = 1566 + p. Round f to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7265.6 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 10*c + 48. Suppose -z - 5*o + 2*o + 37 = 0, 0 = 2*z - 2*o - 98. Calculate the remainder when z is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3845 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*(-6)\/(-4). Suppose 5*h + 14 = k, h + 2 = 2*h + k. Is 7 a factor of (p - -1) + (-26)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -669332250 divided by -22311075.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 + 0.312. Let z = j - 0.062. What is the second smallest value in -3\/7, 9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 73551.8 years?\nAnswer: 7355.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 6 = 5*f. What is the smallest common multiple of f and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -l - 3, l - 3*k - 13 = 0. Suppose 3*h = l*h. Solve -4*v - 3 - 5 = h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + sqrt(19) + -5))**2.\nAnswer: -72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 11*c**2 - 8*c - 4. Let b(x) = x**2 - 44*x - 83. Calculate the remainder when h(-9) is divided by b(47).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 + 1?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 36. Let x(o) = -o**2 + 3*o + 18. Let h be x(0). What is the greatest common factor of h and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810747308?\nAnswer: 2, 7, 28955261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3313412 divided by 1656706.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1270299236 - -143475.\nAnswer: -1270155761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2837.1695 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111111011101001110010 (base 2) to base 16.\nAnswer: 5fba72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/102*2\/(-3)*10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 26*i**2 - 27*i - 4. Calculate s(3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6 - 2*w + 1 - 1 - 4. Give g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + 25\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 9*x**2 + 11*x - 8. Suppose -12 + 1 = c. Let t = -3 - c. What is the tens digit of g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3917, -3929, -3949, -3977, -4013, -4057?\nAnswer: -4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + 39*a**5 + 3*a**4 - 13952*a**2 wrt a?\nAnswer: 240*a**3 + 2340*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400707 and 1067?\nAnswer: 4407777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -352 - -5282\/15. Which is the closest to -1? (a) 5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164 - 7*j + 164 + j - 4*j + 4*j + (-6 + 2 + 2)*(-1 - 2*j + 1))*(0*j + j + 0*j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734340 divided by 2.\nAnswer: 367170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327752225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224488 by -12.\nAnswer: -56122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1819 or 21841\/12?\nAnswer: 21841\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -323104 (base 5) to base 7\nAnswer: -44104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 31)*3*3\/(-54)*-6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 - 5*b - 5. Let n(o) = 24*o**3 - 13 - 1 - 24*o - 10. Give 3*n(j) - 14*s(j).\nAnswer: 2*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1246 from 31.\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 594*d + 307645. Calculate f(-518).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 10?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -312 + 24. Let y be 2\/l*2 - (-15)\/(-120). Suppose 2\/9*j**4 + 2\/9*j**2 + 0*j + y + 4\/9*j**3 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -246*u + 248*u + 150. Is 18\/225 + (-15369)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 652\/13 + 4\/(-26). Suppose a - j = -4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -2\/27 (b) -41 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, t: 3, v: 2, m: 1}. What is prob of picking 1 r and 1 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*15\/(-720)*6?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5149 - 72053\/14. What is the common denominator of -4 - -2 - 39\/4 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 8889.0679?\nAnswer: 8889.4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 4*a - 11, -5*a = -34*g + 26*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o, -o + 1 = -2*v - 11. Let m = 29 + -6. What is the remainder when (14\/(-4))\/v*(-10 - -330) is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213330212123 - 1?\nAnswer: -213330212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 1\/3*b**3 + 0*b + 28 - 19*b**2 - 1\/4*b**4. What is the second derivative of f(x) wrt x?\nAnswer: -6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -8.1, -0.03.\nAnswer: -8.1, -0.8, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -5*v**8\/28 + 55*v**7\/42 - 89*v**6\/24 + 21*v**5\/4 - 95*v**4\/24 + 5*v**3\/3 + 79*v**2. Solve g(h) = 0.\nAnswer: 1\/4, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (4 - (2 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u - 18. What is the derivative of 18*k**3 - 5 - u*k**3 - 6*k**3 wrt k?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (969\/10336)\/((-30)\/(-160))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17aba (base 14) to base 3.\nAnswer: -10000221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -9*c + 233. Let u = 32 - c. List the prime factors of ((-65)\/(-2))\/5*u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -4712356?\nAnswer: -4712353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = 0, 2*s + 16*m = 15*m + 1103. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 0, -1\/8, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*p + 211*p - 2 = r, p + 1 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1.4, -2, 1, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24 + (-1375)\/33 + 18. Let c = 4.2 - 4.47. What is the closest to c in -3, h, 0.5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3568.857 nanometers to meters.\nAnswer: 0.000003568857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19\/(g*(g\/g**(2\/29))\/g))**(-16) assuming g is positive.\nAnswer: g**(-8384\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -4 - 1*715\/231. Suppose 0 = -3*r + 5*r + 4*s - 20, 0 = -r - 3*s + 13. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 23*d + 28. Determine u(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + n)*(1 - 3 + 0) + 6*n - 2 - 8*n - 1 as l + f*n and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -2*l - 2*a, -4*a + 186 = 3*l - l. Let g = l + -30. Suppose 0*y - g = -y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11676091 to the nearest one thousand.\nAnswer: 11676000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048679681 rounded to 6 dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 174 in decreasing order.\nAnswer: 174, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -473*a**8\/42 - 2147*a**4\/8 + 2051*a**2 - a. What is the second derivative of t(g) wrt g?\nAnswer: -75680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767062 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(228)\/sqrt(4) - sqrt(57)))\/((sqrt(4356)*-1)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296.2421 + -1.7179. What is y rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 60*h**2 + 130*h - 75. Let j(i) = 5*i**3 + 60*i**2 - 131*i + 74. Let z(v) = -4*c(v) - 5*j(v). Let z(o) = 0. What is o?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18197\/7 - -62537\/35. Let a = g + 813. Is a greater than -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -1\/300*k**6 + 0*k**3 + 1\/60*k**4 - 3\/2*k**2 + 0*k**5 + 0*k - 3. Let p(d) be the second derivative of z(d). Factor p(a).\nAnswer: -2*a*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 9) in base 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 74*d**3\/3 + 56. Let q(v) = 3*v. Calculate f(q(l)).\nAnswer: 666*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 12*y. Let s(m) = -6*m**2 - 6*m + 6*m + 5*m**2 + 5*m. Let l be 194\/16 + (-6)\/48. What is l*s(t) + 5*b(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33777*m**4*n + 5*m**3*n - 2*m**2 - 18*m*n + 21*m + 34*n + 1 wrt m.\nAnswer: 810648*m*n + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 10. Let h be t(-7). Is h\/10 - (-56916)\/60 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1101 and -4.8.\nAnswer: 5284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by 1370066.\nAnswer: 78\/685033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from addaadddaddaadaaddaa.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2469 - -247. What is the greatest common divisor of t and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Which is the third biggest value? (a) -3 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001905 to 5 dps.\nAnswer: -0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192743, 192736, 192727, 192716, 192703, 192688?\nAnswer: 192671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 772210877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5 - 12*d**4 + 422*d?\nAnswer: 60*d**3 - 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 6*h**2 + 4*h + 1. Let i be p(-5). Let w = 35 + -17. Suppose 4*x = -10 + w. What is the highest common factor of x and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -d + 2*r - 50, 2*d = 3*r - 98. Let u = d + 63. Which is the second smallest value? (a) u (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1321\/9 - 147. Let o(d) = 4*d + 4. Let q be o(4). Let w = -20 + q. Which is greater: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -25. List the prime factors of 4\/((-16)\/d)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4993*i*o**3*t**3 - 2*i*o**2*t + 3*i*o**2 - 6*i*t**3 + 7*o**3*t**3 + 2*o**2 + 4*o wrt o.\nAnswer: 29958*i*t**3 + 42*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k - 4. Let w(b) = b - 3*b - 3 - 4*b. Let t(z) = -4*w(z) + 3*x(z). Let o(a) = -a + 3*a - 3*a**2 - 2*a. What is t(o(y))?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/50 + c**4\/3 + 9*c**3\/5 + 18*c**2\/5 - c + 9. Find j, given that t(j) = 0.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2\/3 (c) -33579917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p + 5. Let u(a) = 5*a + 4. Suppose -32 = -g - g. Suppose -s + g = s. Suppose -5*x = -22 - s. Calculate x*o(j) - 7*u(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 10 = -12*u, 4*g - 1135 = 3*u. Is g a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:32 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.898 years to decades.\nAnswer: 13.8898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (393\/9170)\/((-3)\/(-4)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23386791 is divided by 3897797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5 + 1. Let r = 5 - c. Let b(d) be the third derivative of -d**5\/60 + d**3\/6 + 51*d**2. Calculate b(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 22*v + 4*v**2 - 55860*v**3 + 55862*v**3 - v**4 - 1 - 5 to i*v**2 + q*v**4 + r*v**3 + k*v + d and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = 9. Let i = -123 + 336. Let o = i - 204. Solve y*b - o = -0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a - 90. Suppose k - a = -k. Suppose 3*y = 227 - k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.4098 times 0.11?\nAnswer: 15.335078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43999591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 13*i - 36. Let b be j(-6). Suppose 4*d - 459 = 3*c, 10 = -4*c + b. Is 114 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 95971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*u + 24 = i, i - 3*u - 16 = 0. Let d be -2 - i - -4 - 26. Let f = -22 - d. Calculate the remainder when 21 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 9*i**2 + 10*i - 4. Let n be z(-10). Calculate the common denominator of n*(0 + (-198)\/(-256)) - 0 and 69\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**5 - 56285*d**4 + 158988920*d**3 - 3308609240*d**2 - 15144105520*d - 15780962000 = 0.\nAnswer: -2, 25, 5618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -32*l**3\/5 + 180*l**2 - 6384*l\/5 + 784\/5 = 0.\nAnswer: 1\/8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 12833325.\nAnswer: -769999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/30 + (-6)\/(-10). Let j = -0.09 - 0.08. Let a = j + -0.03. What is the nearest to h in 0.5, a, 2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*u + 39 + 29, -5*j = -20. What is the remainder when 21 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 1.7. Let g = 1 - x. Let d = 257\/10 + -128\/5. Which is the nearest to -1? (a) -5 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*a = 0. Let w = 2 - a. Suppose 7 = w*u - 5. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - b + 50. What is the units digit of 2\/(-15)*303*b\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2141 (base 7) to base 4.\nAnswer: -23330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + -7.14. Let s = j + 7.1. Let g = -19 - -18.5. Which is the third biggest value? (a) s (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 303*g - 297*g - 84. Suppose 0 = 3*z - 17 + 2. Suppose -4 + g = 2*l + x, 0 = z*l + x - 28. What is the smallest common multiple of 36 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Let m = 0.8 - 0.3. Let p be 2\/(-3) + 6\/(-18). Put m, v, p in descending order.\nAnswer: m, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmgmgggmymmmmggmn. Give prob of sequence gmg.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (15 + -4)) + (0 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 5*z + 120. Let y(a) = z*a - 11*a - 11*a. Let h(i) = 18*i - 2. What is h(y(c))?\nAnswer: -36*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241 (base 8) to base 7.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 - 1302121?\nAnswer: -1233331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 4 + -3 + 2. Let q be 4 + -1 + (u - 5). What is the first derivative of -3*t - 6*t + q*t - 6 + 4*t wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1497*w + 31402. What is f(-21)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.889 + -4.362. Put q, 3\/5, -0.1 in decreasing order.\nAnswer: 3\/5, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 18. Suppose -p*h + 1033 = -q, -q - 3*q = 2*h - 712. Suppose 5*g + b = h, -g - 2*b + 347 = 4*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 98.63 and 0.19699183?\nAnswer: 98.43300817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 - 7*h + 6. Let l be a(3). Suppose -d = d - l. Factor -45*y**2 - 5*y**3 - 2*y - 13*y + d*y**4 - 59 + 69 - 9*y**4.\nAnswer: 5*(y - 2)*(y + 1)**2*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.87 - 57.67. What is the nearest to 1\/2 in 0, n, 5, -30?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2088195, 2088271, 2088347, 2088423, 2088499?\nAnswer: 2088575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.8 take away 0.028?\nAnswer: 581.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 4, 5, 6, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r - 4*r)*(1 - 2 - r - 2*r).\nAnswer: 15*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*h + 2*y, 3*y - 9 = -3*h - 0. Calculate the remainder when ((-42)\/1)\/(1 + -2) is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12428 and 3192084?\nAnswer: 41497092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (15 - 5) - -5) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o - 6. Let j(v) = -41 + 0*v - 2*v + 46 + 17*v. Let d(t) = -4*j(t) - 3*x(t). Determine d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34280 + -2377?\nAnswer: -36667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*w - 8*w**2 + 310*w**2 - 265*w - 4*w**3.\nAnswer: -4*w**3 + 302*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112785?\nAnswer: 3, 5, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/261, -14, -1?\nAnswer: 2\/261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 8, d: 6, z: 2}. What is prob of sequence nyd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 5\/2 (c) -5 (d) -0.2 (e) 0.1 (f) -1383451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -814 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-8) - 2\/(-4). Suppose x = -t*x + 9. Find d such that 0*d**4 + 1\/4*d**5 + 0 + 0*d**x + 0*d + 0*d**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.15 - 6.95. Let v = k - -5.2. Let z = v + 0.9. Put -0.2, -5, z in descending order.\nAnswer: -0.2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(2\/5984*8). Round m to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:16 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -m + 10, 5*m - 2 = -w - 2*w. Suppose w*j - 33 = -9. Suppose -j*x + 28 = -4*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, z: 8, f: 4}. Give prob of picking 1 e, 1 z, and 2 f.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Suppose 35 = 3*c + 8. What is the lowest common multiple of c and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 - (3 + -6). Suppose 0 = -s*w - 11 - 29. Let o be w\/2*(-2)\/4. What is the greatest common factor of 6 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 26763*n**2 - 13*n - 5. Let d be x(-3). Suppose -2*c - 5*a + 511990 = 0, -4*c - d = -3*a - 1264907. Round c to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10547 + -31639\/3. Let c = 3 - 3.05. Sort -1, w, 0.01, c in descending order.\nAnswer: w, 0.01, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.5268 millilitres in litres?\nAnswer: 0.1385268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - u + 8, -36 = -4*q + u + 4*u. Let i = 10 - q. Let p = i + 7. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2684 and 104257052?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 - 1) + 0\/4. Let p = z + -7. Suppose -2*i + p = -8. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:55 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45.87634 or 44?\nAnswer: 45.87634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (-20 - -15) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*c**4 - 2*c**2 + 18 wrt c?\nAnswer: -3288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*h = -313866, -5*g - 3*h + 26801 = 811501. Let x = g - -1724776\/11. Let a = 145 + x. Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1507125\/(1\/12*16\/(4 + 28)). Round b to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -733.64 and -9310.\nAnswer: -10043.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*k - 14, -34 = 5*f - 6*k + 4*k. Let z(t) = -t**3 - 6*t**2 - 5*t - 1. What is the units digit of z(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-20) + (-4)\/(-10) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3)*(-2)\/(-48)*6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + ((-10)\/14 - 3). Let q = 0.126 + 0.174. Which is the nearest to i? (a) 0 (b) q (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghgg when four letters picked without replacement from hggggggghhhgggggggg?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/7 - (-6942)\/21. Let k = -11 - -15. Suppose 0 = k*n - m - y, -3*m = -7*m + 4. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 1\/120*h**6 + 1\/105*h**7 - 5\/6*h**3 + 9*h - 1\/8*h**4 + 0 + 0*h**5 + 2*h**2. What is the second derivative of z(i) wrt i?\nAnswer: 24*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2, -149 in descending order.\nAnswer: 3, 2, -2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/65 and 32\/1025?\nAnswer: 13325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**8\/15120 + r**7\/2520 + r**6\/810 + 172*r**3\/3 - 116. Let c(t) be the third derivative of u(t). Factor c(k).\nAnswer: -k**2*(k - 4)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6\/5)*t)\/t*t**6)\/(t**(-1)*t**(-5)) assuming t is positive.\nAnswer: t**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -143157 and -143150 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 73 - 40 = 83. Solve 0 = -110*g + 103*g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from llkklll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 11*m**2 - 6*m**2)*(2 - 2 + 2*m**2).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199 + -200. Suppose -d = 4*d + 35. Let o = d + 4. What is the closest to 1\/4 in g, 4, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1495, -2988, -4483, -5980?\nAnswer: -7479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Suppose 3*u = u - i. Sort u, -3, -5 in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26462 and 2.\nAnswer: 26462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)*h**(-2\/7)*h*((h**(-6\/5)*h)\/h)\/h**(-3)*(((h*h\/(h*(h\/h**(-3\/5))\/h))\/h)\/h*h**3)**(-48) assuming h is positive.\nAnswer: h**(-2299\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 3*h + 5 = 0, 4*h = 4. Sort t, -3, -7 in increasing order.\nAnswer: -7, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -6*i**2 + 36*i + 9. Let s be 38\/(-8) + ((-168)\/32 - -5). Let r be j(s). What is the greatest common divisor of 48 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 510 = 4*h. What is the remainder when h is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223766 is divided by 104.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41778 divided by 4?\nAnswer: 20889\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1224, -2442, -3662, -4884, -6108, -7334, -8562?\n\"Answer: -k**2 - 1215*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcmimmicmiiiww. What is prob of sequence wmwi?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5716252 is divided by 58329.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 35 + 53. Solve 17*d + g = -63 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2425)\/30 - 66\/18. Which is greater: g or -85?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8*i - 5. Let u be (-13 - 10)\/(2 + -1). Let k = i - u. Calculate the highest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4\/9, 0, 7, 1\/5, -15812?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2. Let p(f) = -7*f**2. Let d(b) = 10*h(b) + 4*p(b). Let u(w) = 32*w**2. What is d(u(y))?\nAnswer: 2048*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 63 = 15*s + 7*s. Solve -2*d - 10 = -p, 4*p = s*d + 8*p - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16920\/(-7050))\/((-8)\/25)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441 - -751. Let x = -3413\/11 + t. Let o = 4.8 - 4.7. Is x < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 13*b**2 - 9*b + 2. Let m be n(-12). Let p = 302 - m. Calculate the highest common factor of 156 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 4, h: 6, s: 6}. Give prob of sequence ss.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142 (base 12) in base 5?\nAnswer: -30142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 16) to base 10.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-20)*y*y)**35 assuming y is positive.\nAnswer: y**(-595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7458061?\nAnswer: 13, 563, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4 - 3 + 1 + 2*b - 1. Let v(z) = 12*z - 16. Suppose -202*q + 16 = -194*q. Let u(g) = q*y(g) + 2*v(g). What is the derivative of u(r) wrt r?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*c - c - 11, -4*c = 3*s - 19. Let u(q) = 9*q**2 + q - 1. Calculate the remainder when 34 is divided by u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3 - (40\/(-3) + 12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3 + 643*q**2 - q - 643 = 0. What is q?\nAnswer: -643, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197889275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11228618?\nAnswer: 2, 701, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163996784?\nAnswer: 2, 7, 1464257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.489, 5, -2, 0.3, -8\/15 in descending order.\nAnswer: 5, 0.489, 0.3, -8\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1843726667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -657.8364 - 0.1636. Let l = c + 654.03. Let b = 0.43 - l. Round b to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13. Suppose -4*m + o + o + 10 = a, 4*m + 2 = -2*o. Solve b = -3*n + m, 4*b - 8 = 2*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4987, 4960, 4943, 4960, 5035, 5192, 5455, 5848?\nAnswer: 6395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Calculate the smallest common multiple of 1 + (-5)\/(5\/l) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5426783 is divided by 267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187510 - 47*f**2 - 187510 + 137*f**2.\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + n - 13. Let r be a(3). Which is bigger: -48 or r?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*k + 4*k - 2*b - 11 - 18, 0 = 11*k + 15*b - 395 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 + 21*z**2 + 15*z + 51. Give t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) + sqrt(5) + sqrt(25)\/sqrt(5))**2*-1 + -2*(sqrt(5) + -6*sqrt(5)).\nAnswer: -43 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.96 take away 30.762351?\nAnswer: -62.722351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*r + 49020 = 285*r + 272*r for r.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -60486\/19 >= -3183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7439 and 10793?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9540455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -335b03 (base 13) in base 11?\nAnswer: -7589a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (74 + -57 + 2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-21)*(-6)\/((-8)\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1340082 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 36*s**5 + 7572*s**4 + 2488*s**3 - 6736*s**2 - 3360*s = 0.\nAnswer: -210, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31523\/87 + (-4)\/(-6). What is the least common multiple of i\/44 + 2\/(-8) and 404?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204 + -241 - (2 - 70).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o - 90545 = -122*o. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 + 0.109992. What is o rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, -4\/3, 1, 0.55?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1410, -1404, -1394, -1380, -1362, -1340?\n\"Answer: 2*c**2 - 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/96 and 187\/3240?\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*b - 12 = 141*b. What is the tens digit of b - ((5 - 11) + -224)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 37*g**2 + 97*g - 36. Give d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238.906 - -239. Which is the second biggest value? (a) -4\/3 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -14*m**2 - 35*m + 2561. Let z(i) = 20*i**2 + 49*i - 3842. Determine 7*f(d) + 5*z(d).\nAnswer: 2*d**2 - 1283","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 10012020002121?\nAnswer: 10012020002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 - 8*f + 7. Let j(b) = -b**2 - b + 1. Give -6*j(h) + q(h).\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -2.95. Let p = -27 + 23.5. Let s = y + p. What is the third biggest value in 0.3, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0)\/(118\/236)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - i**5 + 0*i**5 + 24*i**5 - 3*i**5 - 7*i**5 + (i**2 + 2*i**2 - i**2)*(-3*i**3 + 5*i**3 - i**3).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3 - -15.44.\nAnswer: 26.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*x + 12, 0 = -3*x - x - y - 9. Let t(b) be the first derivative of -b**4 - b**3\/3 + b**2\/2 - 3. What is the tens digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*i + 261*i + 21 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66982317?\nAnswer: 3, 3181, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 884*c - 882.\nAnswer: -2*(c - 441)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3177146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137.1 and 3.\nAnswer: -411.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 4, 711 in descending order.\nAnswer: 711, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 1 - 4*f + 7*f + 3*f**2)*(2 - 2 - f).\nAnswer: -3*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5 - 10*q - 4*q + 8*q - 12*q. List the prime factors of h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-1)\/(-5)*(-225)\/(-90). Solve -4*z = u*j + 10, 5*z + 11 = -j - 2*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y + 85. Let p be u(-9). Suppose -2 = -6*d + 4*d. Suppose -x + v = -p, 2*v = v - d. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*i + 7*i - z, 0 = 4*i - 5*z - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.77 + -0.03. Let t = x + 7.1. Let n = -6 - -6.4. What is the nearest to 1 in t, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43172 + 42956 = -12*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/27766 - -1888193\/971810. Calculate the common denominator of (116\/24)\/((-5)\/(-4)) and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose -6 - i = 2*q. Is q\/(-6)*(-333)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in minutes?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0447 + 0.0184. Round v to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 2*t)*((-2*t**4 - 3*t**4 + 4*t**4)*(-1 + 5 - 2) - 271*t**4 - 94*t**4 + 32*t**4) + 3*t**5 - 3*t**5 + 15*t**5.\nAnswer: 685*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p - 123 + p**3 + p - 3*p**2 + 125 + 0*p. Determine a(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b**3 + 5*b**2 - 5. Let o(p) = -25*p**3 + 11*p**2 - 11. Let d(t) = 13*l(t) - 6*o(t). List the prime factors of d(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f - 15*f**3 - 87*f.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/(-40))\/(30\/25))\/(57\/76)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158a8 (base 14) to base 11.\nAnswer: -37507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1011 + -1005. Solve -4 + 10 = 2*x, -3*j - x - u = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 2. Let s be g(-2). Let y(r) be the first derivative of -r**4\/4 + 7*r**3\/3 + 4*r**2 - 7*r - 4159. Determine y(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1082807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1 = 3*c - 2, -3*c + 2*u = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 1860?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.7 - -0.7. Let z = 5 + y. Let l = 1\/11 + -41\/88. What is the closest to -2\/7 in z, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4665694 by -4.\nAnswer: 2332847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 - 3*c. Let s(d) = -3*d**2 - 2*d + 1. Let h(k) = -k**2 + 200*k + 2772. Let t be h(-13). What is t*s(g) - 2*v(g)?\nAnswer: -3*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*h - 980 = -h, -3*h = -4*g + 1015. Let w = g + -162. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 4*i + 6420. Let b = -1711\/4 + i. Put b, -3, 1 in decreasing order.\nAnswer: 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - -46. Let y = l + -68. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (5 + sqrt(425))**2 + -5.\nAnswer: 51*sqrt(17) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 30, 19, 4, -15, -38, -65?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1044 and 20376.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2328187272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 46*c + 35. Calculate j(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i - 67*i - 2 = -p, -35 = -4*p + 3*i for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzqmzzzmxeqmmlqlqqq. Give prob of sequence qm.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 2*f + 126. Let r(p) be the first derivative of -p**3\/3 + 2*p**2 - 4*p - 60. Calculate r(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 635*z**2. Let j(h) = 2429*h**2. Determine y(j(a)).\nAnswer: 3746526035*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 2*d = 0. Solve l = -5*s + 7, -5*s = 5*l + 5 - d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 2*z**4 + 2*z**2 + (1 - 1 - 2*z**4)*(-6 + 2 + 3) + 5*z - 5*z - z**4 - 2232*z**2 + 18*z**4 + 2232*z**2.\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4 = 3*c. Let f = 2 - c. Solve f = -3*o - 4*i, -2*o + 4 = -o - 3*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5287118 + 0.\nAnswer: -0.5287118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) - (sqrt(2) + 2)*5).\nAnswer: -13 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/2023 and -5\/260389.\nAnswer: 1822723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/20 + x**4\/4 - x**3 - 3*x**2\/2 + 21*x. What is o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7522371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 56. Let d be w\/10*((-3)\/6 + -2). Solve 3*j + 2*j - 2*y = 11, d*y = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -4\/7, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -981*l + 2251.\nAnswer: -981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -535 - -5950. Suppose -2*a - 2*k - 13537 = -7*a, k = 2*a - j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296179 (base 12) in base 11?\nAnswer: 4350a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3 = -5*d + 9, 4*d = 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaaaaaal. Give prob of sequence llaa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -3*a + 0*a**3 + 0 + 1\/12*a**4 - 1\/20*a**5 + 37\/2*a**2. Is d(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -593, -1184, -1779, -2378?\n\"Answer: -2*f**2 - 585*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/7)*h**(-23\/2) assuming h is positive.\nAnswer: h**(-165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 18\/7*n + 3\/7*n**2.\nAnswer: 3*(n - 1)*(n + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -104*l - 75*l + 1080 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0.389328692?\nAnswer: 0.389328692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302965.702 - 302701. Let z = n - 265. Round z to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 - 2*f - 2. Let l(a) = -8*a**2 + 3*a + 2. Calculate -2*l(d) - 3*v(d).\nAnswer: -5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 649 - 230. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 59*f**2 - 20 + 7 + (-2*f**2 - 3*f**2 + 3*f**2)*(-4 + 0 + 5))*(2*f + 0*f + 0*f).\nAnswer: 114*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 + 13 = 5*o, 4*o = 5*y + 12. Suppose h - 5 - 1 = y. Sort h, 1, 0.\nAnswer: 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r + 9*r**5 - 13*r**5 - 4 - 3*r**4 - r**4 + 8*r**3 + 8*r**2.\nAnswer: -4*(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -29*p**6\/60 - p**4\/12 + 17*p**3\/6 - p**2 - 20. What is the second derivative of r(z) wrt z?\nAnswer: -348*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*k - 3 + 9 = 0, -4*n + 9 = 3*k. Let g = 12 - 3. Let x = g + n. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 + 9 = -5*g. What is the tens digit of (-77 - -74)*(g - (1 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 9. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24437.\nAnswer: 7, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 583*x + 71333. Determine j(175).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(-50)*45\/(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 7*i - 8. Let v be c(8). Suppose v = s - 6*s - 460. What is s rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 3. Let v(g) = g - 1. Let u be v(4). What are the prime factors of f(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 513, 4, 0.1, 3 in descending order.\nAnswer: 513, 4, 3, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n - 1. Let p(f) = 10*f + 1. Calculate 3*a(v) + 2*p(v).\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 657 - 341. Let w = h + -183. Let b = w + -52. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/3, 140, -0.2, -24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012222 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p**2 - 135*p - 135*p + 268*p + 3*p**3 as s*p**3 + t*p + n*p**2 + f and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*f = 6896, -o + 2*f - 3439 = -2*o. Suppose -z - 3*g - g - 689 = 0, -5*z + 2*g = o. Let c = z - -1212. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10610 + 42081. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85680 and 250740.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/10 - (2 + -3). Let a(d) = d - 2. Let x(z) = -1. Suppose 2 = 2*i + 3*l, -11 = -5*i + l + 11. Give i*x(q) + r*a(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103104 by 358.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.14 and -12013?\nAnswer: -61746.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 12*b + 32. Calculate w(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/(i*i*i**(-2\/17)))**(16\/3)*(i**(-2\/7))**(-4)\/((i\/(((i*i**(-6))\/i)\/i))\/(i**(1\/4)\/i)) assuming i is positive.\nAnswer: i**(-211559\/12852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(6\/11))\/(o\/(o*o**0)))\/((o**5*o)\/(o*o*o**(-9))))\/((o\/o**(-9\/5))\/((o\/(o*o**8*o))\/o*o))**(-6\/23) assuming o is positive.\nAnswer: o**(-10711\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22113 divided by -819?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48033 or 48009?\nAnswer: 48009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 1, a: 7, s: 4, f: 3}. Give prob of sequence cjf.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/sqrt(6)*3)\/(sqrt(121)\/sqrt(396) + sqrt(11)))**2.\nAnswer: 1620\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3 + 7. What is the remainder when 20 + ((-14)\/(-7) - -1) is divided by 2*1\/2 + d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -15. What is the second biggest value in k, 2\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 5, 8, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 13692699.\nAnswer: 27385398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/4))**46\/((z**2*z)\/z**(-6)))\/(((z\/z**(-1\/3))\/z*z**(-2\/11)*z)\/((z\/(z*z\/(z**(-5\/4)\/z)*z))\/(z**(-2)*z))) assuming z is positive.\nAnswer: z**(2785\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.003 + 0.103. Let l be ((-33)\/132)\/((-38)\/16 - -1). What is the closest to v in -1, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/4)*((y\/(y*y**(-15)))\/y*y)\/y*(y\/(y*y**(1\/2)))\/y**(-25) assuming y is positive.\nAnswer: y**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3807 + 3811. Solve 5*k = s*y - 36, -4*k - 4 = 2*y + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -372*y + 1. Let l be f(-3). Let k = l + -5568\/5. Let h = -3\/1210 - -19387\/10890. Calculate the common denominator of k and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 8*b**2 - 2*b + 6. Determine g(-9).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-4)\/(-4)*6\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 46. Suppose -y*w + 1266 = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 324 = -3*w, -3*w + 2*x + 174 = -171. Suppose -5*q = d - w, 4*q - 85 = -0*q + d. Solve 0 = 4*g - q + 2, -2*n + g = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1100*c**4 + 3*c**2 + 3367*c + 1 wrt c?\nAnswer: -13200*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 12*x**2 - x + 1. Suppose 3*d - 8 - 4 = 0. Suppose -5*l = -l - d. Calculate the remainder when 35 is divided by q(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324.45 minus -0.3?\nAnswer: 2324.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.1 - 7. Let q = 114358\/142835 + -18\/28567. What is the fourth biggest value in q, h, -1\/3, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 112. Put -0.3, n, -1\/3 in decreasing order.\nAnswer: -0.3, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 13) in base 16?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (201\/(-268))\/(1\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 620\nAnswer: 11\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 593*w + 588*w = 5, -2*w + 12 = 0. Solve -s*q - 117 = -138 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 12*m + 10. Let q = 48 + -46. Suppose 0 = -2*l - q*l - b + 12, 4*l - 36 = 5*b. Let u be ((-544)\/(-12))\/l + 3\/(-9). Give o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*r + 95 = 0, -q + 115 = 2*q - 2*r. Suppose d = 92 + q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:07 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1db8 + -174b3?\nAnswer: -156fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 17, 4, -1, -21726 in increasing order.\nAnswer: -21726, -4, -1, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -10*z + 6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 716188.17 rounded to the nearest ten thousand?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b553 (base 14) in base 11?\nAnswer: 74215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0548 + -0.5548. Which is the fourth biggest value? (a) 4 (b) -0.4 (c) h (d) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g - 20. Let t(d) = -8*d + 21. Let c(w) = w + 1. Let z(m) = -2*c(m) + t(m). Let v(i) = -6*a(i) - 5*z(i). Calculate v(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*w + 27*w - 11260. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide ((-8)\/(96\/(-122628)))\/(3 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1052989*i + 1052996*i - 2105968*i. Let n(l) be the third derivative of -7*l**4\/24 - l**2. What is n(f(m))?\nAnswer: -119*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -980864*w**2*x**3 + 5*w**2*x**2 + 10*w*x**4 + 60542792*w*x wrt x.\nAnswer: -5885184*w**2 + 240*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25357471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 40 = 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllqllqqqly. What is prob of sequence yql?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10923 = -6*z + 10815 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9625*q**4 + 32775*q**3 - 26780*q**2 - 15540*q - 80 = 0 for q.\nAnswer: -4, -2\/5, -2\/385, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 4, -2\/13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12213, -48076, -107847, -191526, -299113, -430608, -586011?\n\"Answer: -11954*z**2 - z - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 15245?\nAnswer: -15245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 372805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -26078417?\nAnswer: -26078416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76208 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**3 - 19*d**2 - 8*d - 22. Let z(h) = -4*h**3 + 6*h**2 + 3*h + 7. Give 6*b(k) + 17*z(k).\nAnswer: -2*k**3 - 12*k**2 + 3*k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -813 or -837?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301722 to the power of 1\/2, to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - 100 = -28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145609.\nAnswer: 29, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (19 - (27 - 20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0399998 - -0.04. Round v to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50274407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 8. Let w be -2 - 3*(-4)\/(-3). Let c(g) = g**2 + 6*g - 3. Let b be c(w). Sort 1, b, o in increasing order.\nAnswer: b, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 214.7222\nAnswer: 8.588888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93407635 and 0.3?\nAnswer: -28022290.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 899552631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1312101 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 5*x - 167. Suppose -3*s + 95 = 2*s. What is the remainder when s is divided by p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 54*q - 61 = 58*q, 23*q + 119 = 3*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - 46\/5*n**2 - 3\/5 - 6*n**3 - 23\/5*n + 1\/5*n**4.\nAnswer: (n - 3)*(n + 1)**3*(5*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70649294411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-10))\/((-11)\/4). Let p = -253 - -276.7. Let g = -24 + p. Which is the third biggest value? (a) g (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 2*z)*(228 + 84 - 73 - 106 + 372).\nAnswer: -505*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.02 - 2. Let c = 0.52 - u. Let m(z) = z + 2. Let t be m(-6). What is the third biggest value in c, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/20 + k**4\/4 - k**3 - 5*k**2\/2 + 2*k. What is the units digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w - 2*w - w + (411*w - 807*w + 423*w)*(6 + 4 - 1) to the form g + m*w and give m.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766*p = -1731*p + 70 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, -49, -1\/22, 0.02, 3 in descending order.\nAnswer: 3, 0.02, -1\/22, -49, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 172982754.\nAnswer: 1902810294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/145, 3, 1\/54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(1764) - (sqrt(1764) - -1*sqrt(1764))))\/(sqrt(192)*6).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = m - 128515 - 120835, -4*d + m = -332469. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39926729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 2*z**2 + z**2 - 3 - 7*z. Let p be 15*4\/40*-2. What is f(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - z**2 + 1 - 3*z**3 - 2*z**3. Let b be u(1). What is the units digit of (-9)\/b*(1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 0 (c) -1\/6 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56981 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + -280. What is the common denominator of 7\/105*10 + 85\/a and -119\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116548259.\nAnswer: 3, 1129, 329657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l. Suppose 2*y + 2 = c, -4*c + 0*c = -4*y. Let h be (y\/2)\/((-2)\/4). Solve l = -s - h - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(1\/11)\/z))\/(z*z*z**(3\/5)))\/((z*z*z**(-1\/2))\/(z**8*z)) assuming z is positive.\nAnswer: z**(859\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*w**2 - 31*w**2 + 95*w**2 to the form g*w + a*w**2 + t and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**7\/36 - 2*o**6\/9 + 61*o**5\/120 - 7*o**4\/36 + 2*o + 5. Determine x so that p(x) = 0.\nAnswer: -7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lslee. What is prob of picking 1 s and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 14 = -2*t. Let m = 17 - 40. Let a = t - m. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.9 and -1.89.\nAnswer: -39.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4036138*m**2 + 9895486?\nAnswer: 8072276*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -120891\nAnswer: 181336.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92346 take away -1.2313?\nAnswer: 92347.2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5133?\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + 3*a**5 - 2*a**5 + (a**5 + 4*a**5 - 2*a**5)*(-2 + 1 + 4) + 0*a**5 - 3*a**5 + 4*a**5 + (-2*a**4 - 2*a + 2*a)*(-3 + 3 - 2*a).\nAnswer: 15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2019 + -1211. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from qiivuiviuvipi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1780*x**4 - 20*x**2 - 636000*x wrt x.\nAnswer: -21360*x**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 4*i**2 + 4*i**2)*(-i - i + 4*i) + i**3 - 3*i**3 + 0*i**3 - 2 - 3*i**2 + i**3 + 3*i**2.\nAnswer: -3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 10. Let j be u(6). Suppose n - l - j*l - 2 = 0, -l = n - 6. Suppose -n = -2*c + 17. Calculate the greatest common divisor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*d = -126. Suppose -2 = 4*t - 18. Suppose x - z - 85 = 0, 2*z + 343 = t*x - 3*z. What is the remainder when x is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*i + 6*i = -20, v + 5*i - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-12)*8\/(-10). Is 5\/3 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y. Let i be f(1). Let o be (-1)\/(-3) + 4\/i. What are the prime factors of 1 + 1 + -1 + o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*18\/(-24) - 2500)*-1. Suppose s + 0*s - w = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {j: 1, b: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 - 25 = -4*d, 3*p = 4*d + 50. Let k = 222 + -220. Let a = -3 - -6. Solve -a*h = k*h + p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o + 5*c - 22 = 0, 2*c = -4*o + 60. Suppose j - 3*j = 4*a - 14, -2*a + j + 9 = 0. What is the highest common factor of a and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 9, 14, 19, 24, 29?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (11 - 9) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3105\/540 + 14\/(-8) + 1. Suppose -8*f + 3 = -11*f, 9 = p*d + f. Solve u = -d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/77*2\/(-4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019610 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 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: Solve -223*i - 27 = -226*i - 5*d, 0 = 3*i - 3*d - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20896*p**5 + 6044*p + 1?\nAnswer: 417920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42928, -42780, -42592, -42358, -42072, -41728, -41320?\nAnswer: -40842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193758221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 11*v - 2. What is r(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4537334 + -1?\nAnswer: 4537333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924 = 30*d - 184*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose 3*y = -j + 35, h*y - 4*j + 32 = 5*y. Let t be y + 9\/(-3) + 5. Calculate the highest common factor of t and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10)\/(u**(-15)\/u*u) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 48. Let x = i - -16.99505. What is x rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 - -33 - 63 - (24 - -1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y = 3*j - 42*y - 10, -20 = -2*j + 2*y. Suppose j*d - 43*d = 0. What is the smallest value in 0.15, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -36 - (0 + 2 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -592.22 + 635.243. Let x = u + -43. Let h = 0.129 - x. What is h rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 44436?\nAnswer: -1\/44436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -4*1*sqrt(136) + sqrt(136) + sqrt(136))*1*-4)\/(-2*-5*(sqrt(32)\/sqrt(2))\/sqrt(2)).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 3. Let p be h(-3). Let y be 678\/30 - p\/(-15). Suppose 231 = 26*w - y*w. What are the prime factors of w?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 26*p**2 - 3*p + 80. What is f(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 713, 712, 711, 710, 709, 708?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -23. Let s be 160\/9 + 6\/r. Solve -3*z = -3*x + 5 - 23, -2*z + s = -5*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 + -34. Let a = f - 47.94. Let b = -0.05885 + a. Round b to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2027193*r. Let b(c) = -3*c. Calculate b(o(d)).\nAnswer: -6081579*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b - 2*b + 5*b)*(5 + 0 - 3) + (0 + 1 + 1)*(-2*b - 2*b + 6*b) + 0*b + 4*b - 2*b)*(936 + 10204 + 3210).\nAnswer: 143500*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -176*j - 79 + 341*j - 169*j + 18*j**2. Is o(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**5 + 10*s**4 + 10*s**3 + 14*s**2 - 8*s. Let l(a) = a**5 - 3*a**4 - 3*a**3 - 5*a**2 + 3*a. Let n(t) = -8*l(t) - 3*u(t). Factor n(i).\nAnswer: -2*i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15\/4, 0.2, 4 in increasing order.\nAnswer: 0.2, 2, 15\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43007193\/275 + -156389. Let s = k - -2\/275. Is s smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006448447 to seven dps.\nAnswer: -0.0006448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -21, -2, -4, 109, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Suppose k*m - 106 + 26 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03633 + -0.036. Round o to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4076 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 3*d + 1. Let y be 1 + 2 + 0\/1. What are the prime factors of a(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1030151 hours in nanoseconds?\nAnswer: 370854360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3\/7, -5, -57 in decreasing order.\nAnswer: 4, 0, -3\/7, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 56*v**2 + v + 2. What is p(-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-74)\/8 + (-7)\/(-28). Let k be (-2)\/v + (-34)\/(-9) - -1. Solve -5*p - 5 = -k*c, 5*c + 0*p - 21 = -3*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001130353 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**12\/(x\/(x*x**(2\/15)*x)*x))\/(x**(-30)*x*x\/x**(2\/11)) assuming x is positive.\nAnswer: x**(6652\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-78)\/(-5))\/(231\/(-30) - -8). Let p = 3 - 1. Suppose 4*o = -p*u + h, o + 5*u - 7 = -3. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2312 (base 8) to base 7.\nAnswer: -3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.6? (a) 18\/5 (b) -5 (c) -1\/4 (d) -13.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 17. Let f(n) = 3*n - 61. Let x(g) = f(g) + 4*k(g). Suppose 0 = 5*t - 3*z + 32, 3*t - 4*z + 25 = 8. What is x(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1640 and 31\/360.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:55 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1002 + 1002.17. Put n, -4, -2, -1\/3 in descending order.\nAnswer: n, -1\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/27)\/(3\/(-6)). Let y(i) = i**3 + 3*i**2 - 3. Let l be y(-3). Suppose 7 = -4*c - 1. What is the closest to 2\/7 in c, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03413 + 0.034133407. What is a rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 1. Let h(g) = g**3 + 2*g**2 - g - 3. Let q be h(-3). Let p = 6 + q. Sort -0.4, v, p.\nAnswer: v, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8662.723245834 from -4.\nAnswer: 8658.723245834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-2) + (1 - 1). Let l = 208 - 207. Put d, 3, l in decreasing order.\nAnswer: 3, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.08, -3, -2\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2034 + 2036. Suppose 0 = -4*m + m + 15. Solve -i*w - 5 = d, -2*w - m*d = -d + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75285 and 33460.\nAnswer: 301140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, -964, -1207, -1450, -1693, -1936?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 1, c: 2}. Give prob of picking 2 o and 2 c.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 40 (c) -2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 818755273 to the power of 1\/2, to the nearest integer?\nAnswer: 28614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51 - 151*c + 83 + 34 wrt c.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5bc34a2 + 5?\nAnswer: 5bc34a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7405*i + 7396*i + 538 - 14795*i in the form v + u*i and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 1, r: 2, v: 1, j: 2, x: 2}. What is prob of sequence xnrv?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 - 15*q + 2 - 5*q + 6*q in the form d*q + p*q**2 + z and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + i - 27, -3*k - k = -i - 18. Suppose 3*n = k*n - 24. Suppose 3*a - n = -9. Solve d + a = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 3*a**8\/56 - 7*a**5\/60 + 11*a**2. Find the third derivative of n(u) wrt u.\nAnswer: 1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112, -236, -360?\n\"Answer: -124*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92032904?\nAnswer: 2, 503, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5957 is divided by 475?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -262, -405, -580, -805, -1098, -1477?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -211376, -422753, -634130, -845507?\n\"Answer: -211377*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91 - -5?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:15 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/90 and -93\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*z + 10. Suppose z*t = 4 + 1. Which is the closest to 1\/5? (a) -0.2 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013631345 rounded to six decimal places?\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8648*o**2 + 28*o + 500. Let t(n) = -43241*n**2 + 146*n + 2499. Let y(h) = 31*l(h) - 6*t(h). What is the second derivative of y(q) wrt q?\nAnswer: -17284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 5. Let x(c) = -c**3 + 7*c**2 - 4. Let i be x(7). Is j(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 339\/84 - 16\/56 and -31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 1898688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-5 + 6)*(14\/6 - 2). Which is the fourth smallest value? (a) 0.1 (b) -17 (c) x (d) 2 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4) - 777\/1260. Let w(o) be the first derivative of 0*o - l*o**3 + 0*o**4 + 2\/25*o**5 + 0*o**2 - 1. Factor w(g).\nAnswer: 2*g**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 47. Let d be a(19). Find g such that d*g + 2*g**4 - 368*g**3 + 177*g**3 + 181*g**3 + 3*g**4 - 5*g**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/87154045 and -53\/71307855.\nAnswer: 784386405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/7 + (-274329)\/(-1071). Calculate the highest common divisor of 60 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17049 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202306 divided by 31.\nAnswer: -6526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 13 = -3. Solve -g*u + 6 = 0, -d + u + 12 = -6*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvt when four letters picked without replacement from gggggvgggvgtgggvgggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + n + 0)*(2 - 2 - 1) + (-8 + 8 + 13*n)*(-2 + 0 + 0)*(2 + 4 - 5)*(-31 + 37 + 102) to f + t*n and give t.\nAnswer: -2809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-24))\/((-1)\/(-15)). Let q(b) = 5 - w*b - 2 - 3. Give q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262754744 and 10794?\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -1022823?\nAnswer: -38867274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9531093 is divided by 2638.\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 11*b**2 + 19*b - 3. Suppose 51 - 3 = -5*k + 4*w, 4*k = -4*w - 24. List the prime factors of j(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -142, -220, -312, -424, -562, -732?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -3*n + 3\/20*n**5 + 0 - 1\/6*n**4 + 0*n**3 + 0*n**2. What is the third derivative of g(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4 - 2 - 3*f**3 - 10*f**2 - 2 - 15*f + 2*f**3. Is n(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q + 12. Let b be t(3). Let p = -0.02 + -0.01. What is the closest to b in -2, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8395 - 234993\/28. Calculate the common denominator of 29\/42 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -746, -1569, -2458, -3449, -4578, -5881?\n\"Answer: -6*k**3 + 3*k**2 - 790*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28e6 (base 15) to base 6.\nAnswer: -104330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 0*s + 41\/5*s**5 - 25 - 20\/3*s**3 + 0*s**2 + 0*s**4. Find the third derivative of d(p) wrt p.\nAnswer: 984*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6 - 28\/(-6). What is the third derivative of -9*l**2 - 13*l**6 + 0*l**6 + l**q wrt l?\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*d + 143*d = -d + 8022 + 19302 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/15 - (157 + -145).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*v + 4, 28*v = 24*v - 4*z - 4. Let t(d) = 81*d**2 + 2*d + 1. Let y be t(-1). Suppose v = 10*f - 14*f + y. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(-l**2 - 13*l**2 + 23*l**2) as x*l + r*l**2 + c and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83441 + 83438. Suppose y = 3*y - j - 11, -5*j = 3*y + 16. Suppose y*s - 2 + 8 = 0. Which is the closest to d? (a) -2\/7 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 3117758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15490786 - 68079786. What is u rounded to the nearest one million?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -388*q**4 - 659*q**3\/3 - 1657. What is the third derivative of n(s) wrt s?\nAnswer: -9312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = -t - 4*c, -2*c + 6 = 2*t. Let s = -341.2 - -341. What is the nearest to t in s, -1\/35, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -188313.115797?\nAnswer: 188315.115797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/252*(6 + (-330)\/50)*3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(190)*3)\/(sqrt(20)\/(sqrt(2) + sqrt(12)\/sqrt(6))) + -4.\nAnswer: -18*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 33559 + 30931 = 5*j, -5*j + 4*g = -64489. What are the prime factors of j?\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(sqrt(98) + -1 + sqrt(98)) - (sqrt(98) - (sqrt(98) - (-2 + 1*sqrt(98)))) - ((sqrt(98) + (1 + sqrt(98) - sqrt(98)))*1 + -2)))**2 + -3.\nAnswer: 84*sqrt(2) + 3526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312525 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -2126?\nAnswer: -212a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330211882?\nAnswer: 2, 7, 11, 13, 23563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 110. Suppose -3 = -4*n + 5, -646 = -x*g + 5*n. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 + 96\/(-44). Let p = 57 - s. What is the remainder when p is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p + 4171 = 84*p. Solve 4*q + p - 93 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0067177338 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3636798 + 5552901. Suppose o - p = -4*p + c, -4*p = -3*o + 5748283. Suppose -616097 = -5*g - o. Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 12\/23, 6\/7?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/49567?\nAnswer: -3\/49567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*w - 293*w**2 - 344*w**6 - 4*w + 8*w - 1002*w**6 - 8*w wrt w?\nAnswer: -161520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223423 (base 5) in base 4?\nAnswer: -11300331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8536151.7237 less than 681?\nAnswer: -8535470.7237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 3}. What is prob of picking 1 h and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, x: 1, m: 4, b: 4, y: 2, h: 4}. Give prob of picking 1 h and 1 b.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*z + 31*z**2 - 33*z**6 + 158*z wrt z?\nAnswer: -3960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:32 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3\/3 - 4*s**2 - 5*s - 1. Let x be g(-7). Find q such that -x*q**2 + 0*q**2 - 2 + 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131.4 - 131. What is the third biggest value in 24, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 less than -17310965462?\nAnswer: -17310965457.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/2 in 1\/4, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 0 + 0)*(-43213*d**2 - 35652*d**2 + 10248*d**2 + 13797*d**2).\nAnswer: 109640*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 13*b + 7. Suppose 2 = -q, -5*v - 5*q - 4 = -19. Let f be m(v). Is (2 - (5 + -1)) + f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 80. Suppose 0 = -m - 2*l + 259, -6*m + f*m + 2*l + 1066 = 0. List the prime factors of m.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 12, 5*f = -5*b - 0*b - 5. Let k(v) = 2*v + 10. Let o(m) = m + 1. Let w(t) = k(t) - 6*o(t). What is the least common multiple of 10 and w(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -413, 2\/149, -1\/6 in decreasing order.\nAnswer: 2\/149, -1\/6, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/2 + 1408215*k\/2 - 2816454.\nAnswer: 3*(k - 4)*(k + 469409)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -22. What is the second biggest value in 3, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s + 248*s = 2195652. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/(-12))\/((-91)\/(-52))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-68)\/(-5))\/2)\/(-35*(-166)\/(-14525))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 723 + 542 = 0. Calculate the remainder when 1317 is divided by u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 953*q**8\/168 - q**5\/20 - 41*q**3\/2 + 279*q**2 + q. What is the third derivative of i(k) wrt k?\nAnswer: 114360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - 10\/(-4). Factor -25*m + 5*m + 24 + 90*m**k + 75*m**3 - 88*m.\nAnswer: 3*(m + 2)*(5*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -13. Calculate the highest common factor of c and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000372 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 + 172. Let h = -4.07 + 0.07. Let u = h + 1. Which is the third smallest value? (a) 0.3 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/3*((-450)\/405*18)\/66?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 764*c**2 - 1495060*c - 271866100.\nAnswer: 4*(c - 781)*(c + 295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -81*m - 29*m. Let l(j) = 5*j + 37. What is l(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*0\/(-2))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1174980 by -3.\nAnswer: 391660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -96.6.\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {t: 1, p: 17}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -640308 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(4\/(-6)). Let a be (20\/(-16))\/(x\/20). Let b = a + -18. What is the smallest common multiple of b and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.033 times -17570\nAnswer: 88429.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29207, 31041, 34097, 38375, 43875, 50597?\n\"Answer: 611*k**2 + k + 28595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -12 + 6 - 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l**3 + 3*l**3)*(-562 + 562 + 53*l) + (-4 - 2*l + 4)*(2*l**3 + 2*l**3 - 6*l**3).\nAnswer: -49*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48107822 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/8 and -57\/680?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 1526*m\/3 - 3528.\nAnswer: -2*(m - 756)*(m - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = -3*p + 6, 0 = 5*p + 15. Suppose -4 = -2*k + 5*k - 2*d, s*k + d = 15. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -737 (base 9) in base 6?\nAnswer: -2441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 68*u + 271. Calculate g(-4).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 18 = 30. Suppose -15 = -5*w, -2*v - q*w = 186 - 963. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.3260018579 - 32.326. Round p to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 881 = q, -84*u + 85*u = 4*q + 272. What is the smallest common multiple of u and 2920?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4813169\/602 - -31981\/4. Calculate the common denominator of 26\/215 and m.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 1\/8 (b) -2 (c) -4 (d) 7232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*c - 252. Suppose -y = -c - 67. Suppose d + 51 = 4*m, -d - 67 = -5*m - 3*d. What is the greatest common divisor of m and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 7*f - 3*f - 246513, 4*r = -16*f + 197236. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/6)*q*q*q**48 assuming q is positive.\nAnswer: q**(305\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67 and 317530?\nAnswer: 317463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.8 (b) 5\/12 (c) 3\/35 (d) -13.15 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. Suppose x = 5*y - 2*y. Suppose 3*p + 2*p - 5 = y, 3*p + 11 = 2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4528 and 139\/39054.\nAnswer: 312432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-3)\/(-2))*(-3)\/(-2). Let c(p) = -12*p**2 - p + 1. Calculate c(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99559 is divided by 57?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13227000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, -33, -112, -213, -330, -457, -588?\n\"Answer: q**3 - 20*q**2 + 2*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*y + 9, 4*z - z = y + 6. Suppose z = -2*k + 4*g + 5, -5*k + 70 = 2*g. Calculate the smallest common multiple of 16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -164562, -166746, -168930, -171114?\n\"Answer: -2184*w - 162378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/21 + (-138)\/42. Let b(i) = -4*i**2 + 5*i. Let l(z) = 5*z**2 - 5*z - 1. Let q(x) = v*l(x) - 4*b(x). Let s(m) = m + 7. Let d be s(-3). Determine q(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.027 - 120.973. Let q = 121.9 + v. Let n = q - 0.628. Round n to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*w**2 - 117*w**2 - 128*w**2 + 369*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 31*i**3 - 6*i - 6. Let s(h) be the first derivative of -31*h**4\/2 + 13*h**2\/2 + 13*h - 1238. Calculate 13*n(b) + 6*s(b).\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 0.5\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2 - -2) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66401 and 35397.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -10696\nAnswer: 10696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -45, -104, -187, -294?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9) - -2*(-150)\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 q when four letters picked without replacement from qbqqqqbqbqbqqqqqqqbq?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2082 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2\/17)*p)*p*p*p**(-5\/2))\/(((p\/(p**(-5)\/p)*p)\/p)\/(p**3\/p)))**(-1\/45) assuming p is positive.\nAnswer: p**(217\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let x(q) = -41*q + 34. Let d(i) = -5*m(i) + x(i). Differentiate d(f) wrt f.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 12 + 10. Is 2\/43 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 2. Let z(i) = 6 + 4 + 0 - 9. Give -m(d) + z(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -242.2 times 2679\nAnswer: -648853.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d\/(d**(-6)\/d))\/(((d\/d**(-1))\/d)\/d)**(2\/25))\/((d*(d\/d**(4\/5))\/d*d*d\/d**6)\/(d\/((d\/((d*d**1)\/d))\/d))**8) assuming d is positive.\nAnswer: d**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 - 10*u + 24. What is m(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -529*o**3 + 11*o**2 + 735*o + 11. Let a(v) = 106*v**3 - 2*v**2 - 147*v - 2. Let g(i) = 11*a(i) + 2*s(i). Find the second derivative of g(f) wrt f.\nAnswer: 648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 2. Let o be g(-4). Let j be (-1)\/(1*1\/6). Let h be o\/j - (-8)\/3. What is the highest common divisor of 21 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332123 (base 4) to base 11.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**4\/24 + 55*m**3\/2 + 4*m**2. Let z be d(0). Suppose 3*u = 8*u - 5*f - z, -u = -2*f - 32. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 8*a**2 + 39*a - 24. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 93270 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 5122?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = -0*h. What is the remainder when 72 is divided by 146\/h + 4\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + 45 = 0. Let y(f) = f**3 - 10*f**2 + 8*f + 13. Let b be y(i). Solve 5*w - 29 = 5*k - b, -2*w = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108122 or 108120?\nAnswer: 108120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1669.77 + -2052.7675. Let h = x - -383. Round h to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 b when four letters picked without replacement from zzbbozbzqzzww?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -522, -763, -1166, -1731, -2458, -3347, -4398?\n\"Answer: -81*h**2 + 2*h - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1653 + -1653. Which is bigger: 30\/119 or u?\nAnswer: 30\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let x(h) be the first derivative of -73*h**2 - 291. Calculate x(u(s)).\nAnswer: 292*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52796\/(-10638)*(-378)\/14?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5 - 6 + 2*a - 2. Let g be y(3). Factor -1\/2*l + 0 + 1\/2*l**g + 0*l**2.\nAnswer: l*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*k**3 - 261*k**3 + 527*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 5, -1, -5, -2 in decreasing order.\nAnswer: 5, -1, -2, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2437*x**3 + 24 - 15 - 3428*x**2 + 8539*x**3 - 9 wrt x?\nAnswer: 36612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = -11*d + 59*d - 1322 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 1, y: 1, h: 1, m: 1}. What is prob of sequence eyh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/10 + h**4\/24 + 7*h**3\/6 - 30*h**2. Let b(a) = 7*a**2 - a - 8. Calculate -5*b(r) - 6*j(r).\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g = 65*g - 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -96882 to the nearest 100.\nAnswer: -96900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38966.53 kilometers to micrometers.\nAnswer: 38966530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*((-54)\/6)\/18?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -573*n**5 + 14 + n**2 - 14060873*n**3 - 39*n + 14060873*n**3 wrt n.\nAnswer: -11460*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 5 + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 621113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -81, 0, 1, 32.\nAnswer: -81, -3, 0, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlk when three letters picked without replacement from {x: 3, l: 2, k: 2, i: 3, b: 1, t: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 12. Let l be (-2)\/(-4) - 1\/2. Let s be 0 + l\/3 - -2. Solve -f*h + 1 + 6 = s*r, -2*r - 2*h + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1 + 4 = 0. Let i be (m + 1)\/(-1 + 2). Let q = 8 - i. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 = 5*b, -2 = 3*b - 2*b. Suppose -22 + 12 = -2*d + 4*t, -2*t = -2*d + c. Let z(o) = -o + 3. Let y(l) = -2. Give d*z(u) - 4*y(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351 (base 7) to base 8.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 190.88135838 to 1 decimal place.\nAnswer: 190.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, q: 3}. What is prob of sequence qqq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28601.89l?\nAnswer: 28601890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -35, -37?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793951?\nAnswer: 3, 310439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 + (-1287 - -1238 - (-37 - 0))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097*v + 299 - 1104*v + 2203*v.\nAnswer: 2*v + 299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4042442200 + -10?\nAnswer: -4042442210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 307083.1 micrograms?\nAnswer: 307.0831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i. Let q(n) = -323*n**2 - n - 3455. Give q(a(b)).\nAnswer: -11628*b**2 + 6*b - 3455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -4, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 10 = 4*h, h + 2*c + 2*c = 12. Suppose x - 2*y = 1, 0 = 3*x - h*y - 6 - 3. Let n = 9 - x. Solve 3 + 3 = j - w, -n*j + 9 = w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676335 to the power of 1\/2, to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -334*f**4 + 351*f**4 - 4*f**3 + 4*f**3 + 22*f**2 wrt f?\nAnswer: 408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1431.3159 months?\nAnswer: 11.9276325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -8*x + 15. Let p(o) = -4 - 2 + 5*o**2 - o**x + 2 + 6*o. Determine p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iljjx. Give prob of sequence jjx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + (161 - 90) + -28?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**3\/3 + 11*i**2\/2 + 7*i + 37. What is the remainder when 71 is divided by z(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112043585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4961566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17188 and 21485?\nAnswer: 85940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 160991?\nAnswer: 23\/160991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 4. Let a(j) = j - 7. Let s(w) = -3*a(w) - 7*u(w). Let o(x) = x - 1. Let h(q) = 2*o(q) - s(q). Is h(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 6*n - 2. Let m = -2 - 2. Let u(w) = 4*w**2 + 11*w - 3. Suppose 3*g + 35 = 5*j, -5*g = 5*j - 45 + 10. Give j*p(c) + m*u(c).\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-21) - ((-1252)\/364 + 3). Suppose 6*v + 34 - 10 = 0. Let o = 4.33 + -1.33. What is the closest to 5 in o, n, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**21)\/(m*m**(-5\/6)*m*m))\/((m*m**(-3))\/((m*m*m**23*m)\/m)) assuming m is positive.\nAnswer: m**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/28 and 642\/(-220) + (-4)\/22?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, x: 2, i: 5, q: 5}. What is prob of sequence qqid?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209542 is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hcwccwfwwwwwwwwwcwc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 + 12*z**2 - 20*z + 28\/3.\nAnswer: -4*(z - 7)*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.76 - 2.52. Let x = 1720043.760101 + -1720042. Let g = l + x. Round g to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 87*j - 5633\/2.\nAnswer: -(j + 43)*(j + 131)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2 - 550528*o\/5 - 1871564\/5 = 0.\nAnswer: -27523, -17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, -2.6, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 (base 10) in base 7?\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*l + 1 = 0, 3*n - 3*l + 5 = 2*n. Suppose -4*p = n*c - 16, 12*c = 3*p + 9*c. Solve 3*y - 2*z = 7, -5*y + 5*z + 4 = -p*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436665.1 decades in years?\nAnswer: 4366651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 649*l**2 - 20770*l + 271600 = 0. What is l?\nAnswer: -40, 10, 679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 6*z**4 - 2*z - 38*z**2 + 38*z**2 + (-5 + 2 + 1)*(2*z**3 + z**4 - 2*z**3) - 3*z**4 + 0*z**4 + 0*z**4.\nAnswer: z**4 + z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-14)\/(-4))*2\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 30356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30161, 30169, 30199, 30263, 30373, 30541?\n\"Answer: 2*f**3 - f**2 - 3*f + 30163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 2168, 3252, 4336, 5420, 6504?\nAnswer: 7588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = 3*w - 2*w, -w = 3*i + 12. Suppose w = 4*k - 5*o + 25 - 66, -28 = -2*k + 4*o. What is the units digit of (3\/(-3))\/((-1)\/k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177644 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4884403 is divided by 2825.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124352 - -104?\nAnswer: 124500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 9*r. Let y(k) be the second derivative of 1\/3*k**3 + 0*k**2 - 2*k - 2. What is y(n(f))?\nAnswer: -2*f**2 + 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -56. Let z(h) = h**3 + 19*h**2 + 2*h + 40. Let o be z(s). Suppose -20 - 134 = -o*i. What are the prime factors of i?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2080 and 1152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1893030 (base 11) to base 5.\nAnswer: 1304231024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 658556270 to the power of 1\/2, to the nearest integer?\nAnswer: 25662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17471013.\nAnswer: 3, 7, 19, 43787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6288 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304318502882 - 19*z**3 + 304318502882.\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-3\/11)\/u*u)\/u)\/(u**(2\/29)\/u) assuming u is positive.\nAnswer: u**(529\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 - 35*h - 213. Determine t(-10).\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d - 1. Let v(s) = -2*s**2 + s - 1. Suppose p = 2*p + 2. Let o(t) = p*v(t) + 2*n(t). Let q(r) = 7*r. Give o(q(k)).\nAnswer: 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.333985ug in milligrams?\nAnswer: 0.005333985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -5*a - 5*n, 7021*a + 319 = 7026*a + 38*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 3*b**2 - 3*b + 2. Let j be f(2). Let q be (-1)\/(-4) - (-116)\/(-16). Let a be q + 6 - -1*1. Are a and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 18*u**2 + 5*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 79\/5*f**2 + 18 - 159\/5*f - 9\/5*f**3 - 1\/5*f**4 = 0.\nAnswer: -15, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26073405.302276 + -26074385.3. Let s = 980 + j. What is s rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -10 (b) -3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986 a factor of 65143887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + f + 5*f**2 - 4 - 3*f**2)*(2 + 0*f + 7*f + 0*f) to the form d*f**3 + k*f**2 + b*f + m and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 8*g. Let c be r(-8). Suppose 3*u + 5*y - 18 = -c, -30 = -5*u - 2*y. Let f(b) = 16*b - 1. Is f(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 - 7) + 1 + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -29*j**2 - 21*j - 10. Let x(c) = 7*c**2 + 5*c + 2. What is -2*i(w) - 9*x(w)?\nAnswer: -5*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {x: 2, g: 9, b: 1, c: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31526 (base 10) to base 14\nAnswer: -b6bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = -2*n, 2*v + 21*n = 20*n + 6. Solve t + v*a = 2*t - 19, -15 = 5*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 777 and 41.\nAnswer: 31857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18712 - 4672 = 22*j + 68*j. Let u(p) = 5*p**2 - 3*p - 5. Let c be u(6). Is j < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 87945, 175893, 263839, 351783?\n\"Answer: -c**2 + 87951*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48b - -164?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7. Let d(u) = 11. Let p(k) = 5*d(k) - 8*z(k). Let c(j) = 0 - 3*j + 4*j + 6. Calculate -c(t) - 4*p(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = 0, -26*l + 27*l - 5*b - 1 = 0. Calculate the highest common factor of l and 330.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 27*n**3 - 12*n. Let d(g) = 11*g**3 - 5*g. Let h(k) = k**3 - k**2 - 6. Let r be h(3). What is r*d(i) - 5*x(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**6\/30 + a**5\/60 - a**4\/6 + a**3\/3 + 2*a**2. Let c(n) be the first derivative of u(n). Suppose c(y) = 0. Calculate y.\nAnswer: -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n + 18*n**2 - 4 - 17*n**2 + n**2 = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:09 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(95))\/sqrt(5)*-2.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 86585 divided by -17317?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 7*q - q)*(-4 + 3 - 2)*(4*q + 12*q - 7*q) to the form l + d*q**2 + s*q and give d.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 104.8285 minutes?\nAnswer: 6289710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -198.2, 2\/9, 0.2, 0.1, 1, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 3*w**2 - 3*w**2. Let c(b) be the second derivative of -b**6\/180 + b**3\/3 + b. Let x(d) be the second derivative of c(d). Calculate x(j(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:05 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 4*x + 5*o + 55, 0 = -2*o + 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -8. Let c = v + -8. Is c bigger than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 646\/238 - 60\/28?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12\/5)*x**(-25\/2) assuming x is positive.\nAnswer: x**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at least -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*x - 4 = -5*x, -5*k = 3*x - 3. Suppose 0 = -5*m - p - 5, -3*m + 3*p + 18 = k. Is -1\/9 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n + 1. Let b(x) = 8*x**3 - 2*x**2 + 1. Let c(y) = b(y) - 2*i(y). Let g be c(1). Let a = -8 + g. Sort 2, a, -3.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 13, j: 3, y: 1}. Give prob of picking 2 j.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + -1 + 2 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37206)\/19080 + (-138)\/(-24) + -3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3964*u**3 - 3932*u**3 - 15*u + 15*u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*13*(-11)\/(-429))\/(1\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15074698*k**3 - 2592197.\nAnswer: 45224094*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10441406 or 10441405?\nAnswer: 10441405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -60. Let g(j) = -48*j + 103. List the prime factors of g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278 divided by 10387\nAnswer: 278\/10387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 - 4*i**2 - 7*i**2 - 2*i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7832 (b) 3\/53 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373 = 5*r + 1328 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6*w + 9. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*l = -5538, -4*l + 451 = -w - 2324. Let t = 444 - w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/11 - 4074\/(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 640078 - 101?\nAnswer: 638877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5262996 smaller than -5262996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1878.7.\nAnswer: 9393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 22\/4)*-1. What is u in 1\/2 + b*u**2 + u = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 + 0 = 4*l, l = 2*h - 4. Let v(y) = -6*y + y + l*y. Let k(j) = -j**2 + 35 - 35. Give k(v(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151739 by 151739.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4338847 - 2.694.\nAnswer: -4338849.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 31*b**2 - 19*b + 16. Let v(y) = -y**2 - 15*y - 49. Let t be v(-7). Is i(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 216 = -8*l. Let a = l + 30. Solve -x + 4 = -4*r, 5*r - a*x + 11 + 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or -226633?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153492*h**2*q**2*u + 550*h**2*q - h**2*u - 230*h*q*u wrt q?\nAnswer: -306984*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y - 89 = -364. Let n(v) = 2*v + 11. What is n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1072*x - 1114*x + 444864. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**4\/24 + 93*h**2 + 6*h. Let d(k) = -1076*k**2. Give d(y(f)).\nAnswer: -1076*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Suppose 4*k = 6*k - u - 7, k + 2*u = 11. Let s(r) = 3*r - 35*r - 9*r + k*r. Calculate s(i(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 194*f + 10117. Determine z(76).\nAnswer: 1149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + 9\/4. Let q(i) = 6*i**2 - 8*i + i**3 - 2*i**j + 2*i**2 + 3 + 1. Let z = -10 - -3. What is q(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15761 (base 8) to base 16.\nAnswer: 1bf1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 16. Let o be x(12). Let z = 6.2 - 4.3. Let h = 3.9 - z. What is the nearest to 2\/5 in o, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 40 = 81*k - 77*k, k + v = 9. Let g(t) = -5*t**3 + 2*t**2 + 10*t - 4. Let u(j) = 6*j**3 - 3*j**2 - 11*j + 5. Give k*g(h) + 4*u(h).\nAnswer: -h**3 - 2*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 7*h + 11. Let l be f(-8). Let w be l + (-3 - -7)\/(-1). Are 2\/83 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/620 and (-384)\/256*194\/6.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 4, w: 4, o: 2, u: 3, s: 3}. Give prob of sequence hwu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*n*o**2*w - n*o**2 + n*o + 6*n*w - 2*o**2*w + 73*o**2 + 526*o*w wrt o?\nAnswer: 24*n*w - 2*n - 4*w + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + -8 + 11 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(100))\/sqrt(2))\/((sqrt(90) - (sqrt(90)*2 - sqrt(90))) + sqrt(90) + sqrt(90)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -17056550262784*c**5 + 102342457080576*c**4 - 18933217824*c**3 + 1167556*c**2 - 24*c = 0.\nAnswer: 0, 1\/16216, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 970*u**2. Let t(m) = -155*m**2. Calculate t(q(c)).\nAnswer: -145839500*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 56. Let d be f(11). Let x be (-8640)\/(-612) + (-4)\/d. Let n be -2 + 2 - (-70 - 0). Calculate the highest common factor of n and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -22?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)\/z)**(4\/27)\/(z**(-1))**(2\/39) assuming z is positive.\nAnswer: z**(-38\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {t: 1, l: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - -6. Let c = -1221\/13 + b. Let j be (-2)\/((-1)\/1) - 1. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.2 + -44. Let s = 3 + 0. Which is the biggest value? (a) -3 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -232*q**3 + 7*q**2 - 5*q - 2. What is the tens digit of r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 5793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 58610*l**2 - 58612*l.\nAnswer: 2*l*(l - 1)*(l + 29306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3\/3 + 17*t. Let y(i) = -4*i**2. Determine u(y(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 896404871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 + 227 = -113*z - 75 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12011268 is divided by 297.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22155451 (base 6) to base 16\nAnswer: a3417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (122 + -183 + 31 + -8).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*n + 18 = 0, t - 11 = -0*t - 5*n. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -458*v + 3. Let p be z(0). Solve -5*u - 4*u = -p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -224\/1111 - -2\/101. Which is the closest to 0? (a) l (b) -3 (c) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99\/16793 - -1921319\/15415974. What is the common denominator of u and -133\/2652?\nAnswer: 23868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, -3\/4, 5\/18, -0.19 in decreasing order.\nAnswer: 5\/18, -0.19, -0.43, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1348644)\/21636)\/((-11)\/(-9))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 58 = 2*z - c, 2*z = -2*c + 108. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*20.3\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01015536 to 4 decimal places.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 - -1.5. Let k = 7.807 + -0.007. Let p = x - k. What is the third smallest value in 2, -5, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 18 - 10 - (5 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.7 and -1.76.\nAnswer: 11.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose -d*f - 2*f + 50 = 0. Suppose -3*s - 2*s = -3*w + f, -5*s + 70 = 5*w. What is the remainder when 18 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303703760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + 29*j + 30. Let d(v) = -v**2 + 7*v + 8. Let b(t) = -9*d(t) + 2*i(t). Let s be b(10). Solve s - 54 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5870 + -5858. What is the smallest common multiple of 73 and n?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2162 = -4*x, 2*i + 1069 = 2*x - i. Calculate the highest common factor of 49 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + h - 45 = 0, -54*b + 33 = -54*b + 13*h - 12*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9185*t - 2170*t**2 + 2173*t**2 + 9185*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2714 and 48498.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30))\/(27\/90).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 171)\/((-4)\/6). Suppose 434 = l - r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 4*u + 2*u + 26*u. Solve -3*x + 3 = 0, 5*r + 2*x = 4*x - u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 = -4*c + 17, 23 = -3*g + 4*c. Let u(b) be the first derivative of 4*b**3 - b + 2. Determine u(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 215*n**2 - 533*n + 397. Calculate v(105).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2364ab (base 12) in base 6?\nAnswer: -20123135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*p + 5*i, p + 5*i - 17 = 2*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129006 is divided by 18423.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 0.06, 2082, -0.4.\nAnswer: -77, -0.4, 0.06, 2082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**22\/s*(((s\/(s**23*s))\/s)\/s)\/s*s*s*((s**(-12)\/s)\/s)\/s*(s**(-23)*s)\/s)**(-20) assuming s is positive.\nAnswer: s**820","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Let f(m) = m**3 - 2*m**2 - 7*m + 7. Let a be f(h). Suppose -2*x = -131 - a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*15\/3.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 1229843.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/91560 and -69\/30520.\nAnswer: 91560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 450\/(-271) - ((-3)\/(-2) + -3) and 53\/6.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34614 divided by -18?\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6460 - 18273 - 5868 + 10141 - 14410 - 15958)*(3*n**2 + 0*n**2 - 2*n**2) to i + p*n + g*n**2 and give g.\nAnswer: -37908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 - 264\/18. Let x be o\/(-6)*(-4)\/(-2). Suppose -x*m = -3*m - 72. What is the highest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.02 rounded to zero decimal places?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let a = 6 - o. Suppose 0 = -0*w + w - a. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((9\/(-12))\/3). Suppose 3*k - 51 = -q, n*k + 166 = q + 2*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.34 (b) -23 (c) 2.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*c + 1123 = 0, -2*c = 2*c - 16. Suppose -s = -2*p - 374, -2*s = -0*p - p - 739. Let l = s + x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deq when three letters picked without replacement from {q: 8, e: 3, d: 7}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -12 + (7 - -4 - 2 - 2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90, 174, 234, 258, 234, 150?\n\"Answer: -2*g**3 + 98*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 68445171?\nAnswer: 68445153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4621.\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/77, -2\/15, 2\/1109, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12115*f**3 + 22308*f**3 + 7001*f**3 - 10845*f**3.\nAnswer: 30579*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**6\/6 - r**5\/2 - 5*r**4\/12 - r. Suppose f(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40255 and 1408882\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1560*x + 1578*x - 20214. Does 119 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 0.3 (c) 9\/53 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36475534?\nAnswer: 2, 18237767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32329.4 millilitres in litres?\nAnswer: 32.3294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39076, 33412, 27748, 22084?\nAnswer: 16420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 44\nAnswer: 25\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 73*c**5\/60 + c**3\/6 - 2*c**2. Suppose -101*b - 15 = 3*o - 104*b, 4*b - 11 = -5*o. What are the prime factors of y(o)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-7)*f*f\/(f\/(f\/f**(2\/11)))*(f\/(f**(2\/19)\/f))**(3\/10) assuming f is positive.\nAnswer: f**(-3776\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 + 62937*v**2\/11 + 1990383*v\/11 + 81065 = 0.\nAnswer: -31, -5\/11, 5753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -n + 6*w + 5, 0 = -4*n + 4*w + 20. Let d(b) = -5*b. Calculate d(n).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-16)*-4*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639223 - -70050400?\nAnswer: 70689623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 4*d. Suppose 4*o + 4*u + 120 = d, -40 = -5*o - 4*u - 191. What is the units digit of (o - -4)*(-1)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 376 + 76. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -93452, -373818, -841096, -1495286, -2336388, -3364402?\n\"Answer: -93456*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7358*i - 130*i - 34548*i.\nAnswer: -42036*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -4784.0503?\nAnswer: 81328.8551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10095560479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 452 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 - -2) - -3) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3971014 is divided by 333?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23312 - -699469\/30. Let r = -375937\/24 - -15664. Calculate the common denominator of r and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 11*m + 11. Let n(g) = -g**2 - 4*g - 4. Let s = -3 + 7. Let o(v) = s*i(v) + 11*n(v). Factor o(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9280*t - 9406*t - 630 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*(126\/4)\/7. Solve 5*s - g = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.75 - 0.4. Let l = i - 0.78. What is l rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfc. What is prob of sequence ccf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzuko. What is prob of picking 1 u and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11871134 = -875*s + 841*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1495\/(-650) + (-12)\/(-15))\/(19\/(950\/15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 9164718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71530553 divided by -257.\nAnswer: 278329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 188\/8227 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 407*v + 407*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:49 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:33 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*59.\nAnswer: -7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 1. Let g(s) = -14*s - 10. Let a(c) = -g(c) + 6*p(c). Let n be a(4). Solve 5*t = -n - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-20)*(-2)\/(-11)*43\/774*54?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -19. Let j(k) = 3*k**2 + 3*k - 6. Let q(d) = 6 - d - 2*d - 4*d**2 + 4*d**2 - 3*d**2. Let a(s) = m*j(s) - 5*q(s). Factor a(l).\nAnswer: -3*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -153*f - 125. Is k(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*r + 1764 = 210*r - 451*r for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1)*c)\/(c**(-1)*c))\/(c*c**(-2\/3))**(28\/9) assuming c is positive.\nAnswer: c**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*i + 2468 - 2133 - 5255 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u - 8. Give a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.98 + 0.02. Let f = 2 - u. Let t = -13\/51 - -10\/17. What is the second biggest value in t, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6783488 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 22372755*k**2\/4 - 125135052758883*k\/4 + 125135030386129\/4.\nAnswer: -(k - 11186377)**2*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.2. Which is the nearest to -1? (a) j (b) 1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**4 - 10*s**3 - 6*s**2 - 6*s - 13. Let c(k) = k**4 - k**3 - k**2 - k. Let f(u) = 6*c(u) - t(u). What is the first derivative of f(x) wrt x?\nAnswer: 8*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/((10\/(-25))\/(16 + -14))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -100, -238, -514, -976, -1672?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 13) to base 3\nAnswer: 22101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 345 = -5*v, -1 = 2*v - v. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1. Let a(r) be the third derivative of r**4\/24 + 2*r**3\/3 - 10*r**2 + 18. Give -2*a(h) + 7*x(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 2*-1) + -104 + 102?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 526974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1054184, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 4*t + 2*t**2 - 6*t**2 + 0*t**2 + 1 as a*t**2 + g*t + k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*s - 1 = 0, 5*j + 2 - 20 = -2*s. What is the third derivative of -4 - 33*l**j + 7 + l**3 + 34*l**2 - 33*l**2 wrt l?\nAnswer: -792*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*b + 59*b - 274*b - 218*b - 295*b.\nAnswer: -869*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.7 (c) 2.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -324951013\/57 - -5700653. Let b be (-4)\/(-2) - (1 - 241). Let l = v + b. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 + -6.02. Let h = j - -1.8. Let y = h + 4.3999815. Round y to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 9*r = -738. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfvvfztvstztvstfsssv. Give prob of picking 2 s and 1 t.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 898, 4, -5, -4 in descending order.\nAnswer: 898, 4, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 622 = 4*g, -3*g - 3*n + 2*n = 469. Let f = -154 - g. Solve 5 = 5*i - 4*q, -q - 4*q - f = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78416407669*x - 78416407669*x - 9*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - 5 = 0. Let v be (k\/(-7))\/((-3)\/6). Factor 2\/7 - 4\/7*f + v*f**2.\nAnswer: 2*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 - 102. Suppose 0 = -2*h - 4*b + 6 + 36, 92 = 4*h + 4*b. Suppose 0 = -2*z + h + 1. What is the remainder when a is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99921438247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*r + 2 - 1.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 12. Let q(v) be the first derivative of v**3\/3 - 7*v**2\/2 + 706. Calculate q(t(g)).\nAnswer: g**2 - 17*g + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 1406?\nAnswer: -11\/1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000971 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:11 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**36*(h**(-1\/3))**(-50)*(h**0)**(-2\/15)*h**(-7)*(h*h*h*h\/(h*(h\/h**(-1\/7))\/h))\/h assuming h is positive.\nAnswer: h**(-514\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:35 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -25. Let u = 4.9885 + m. What is u rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199999*s + 255350*s + 289977*s.\nAnswer: 345328*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1932 divided by -84\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58\/3? (a) -0.3 (b) -1\/4 (c) -4824\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 7*n**2 + 3*n - 16. Let q = -6 + 13. Calculate the lowest common multiple of -10*((-2)\/(-1))\/(-2) and o(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -45, -105, -189, -297, -429?\n\"Answer: -12*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -9*a**2\/2 + 7*a - 294. Calculate s(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010033444 to 5 dps.\nAnswer: -0.01003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*216\/(-24). Let f(j) = j + 3. Determine f(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20097 - -8099086\/403. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*q + 476, 5 + 5 = -5*q. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 c, and 1 z when four letters picked without replacement from wwnzcczwcccwcrwccc?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-7))*l)\/l*l*(l*l**(-12))\/l*(l*l**(1\/8)\/l*l)\/l*(l\/l**(-1\/2))\/l assuming l is positive.\nAnswer: l**(-139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9502387*d*h**3*o**2 + 9*d*o**3 + 16*h**3*o**3 + 1466*h - 287*o**3 wrt d.\nAnswer: -9502387*h**3*o**2 + 9*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*u**3 + 543*u**3 - 45*u**3 + 973*u**3 + 564*u**3.\nAnswer: 2579*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*j - 1260 = -967*j + 426*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76) + 2 - sqrt(76))**2 - sqrt(76))*2.\nAnswer: -36*sqrt(19) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*y - 287*y + 11*u - 57, 0 = 5*y - 5*u + 55 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q - 19. Suppose -9*x + q*x = -550. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29357 (base 11) in base 8?\nAnswer: 121326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0372441 from 0.5.\nAnswer: 0.5372441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/5))**(-1\/30))**(-2\/9))**50 assuming q is positive.\nAnswer: q**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 - 9*g + 25. Let d(n) = 13*n**2 - 10*n + 1. Let x(i) = -21*i**2 + 18*i - 6. Let o(y) = 5*d(y) + 3*x(y). Calculate -5*o(h) - 2*s(h).\nAnswer: -2*h**2 - 2*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1315.5081 to the nearest integer.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q - 18*q = -96686. What are the prime factors of q?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v - 70*v - 73*v - 70*v - 84*v - 64*v + 454*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -9 + (-14 + 24 - 10 - -20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from gggggdddgdgddggdddg?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-11)\/((-44)\/(-24)). Which is bigger: -9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**2 + 12*o. Let b(i) = -25*i**2 + 81*i + 37*i + 41*i - 124*i. Let v(q) = 6*b(q) - 17*l(q). Let v(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/(-152)*60\/750.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664670 is divided by 437?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -113. What is the third derivative of -62*c**2 + 15*c**4 + h*c**5 - 39*c**4 + 13*c**5 + 25*c**4 wrt c?\nAnswer: 1200*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-110))\/(1\/2*4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9727, 7852, 5977, 4102?\nAnswer: 2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1984 = -152*i + 3120 - 1456 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1928 = 316. List the prime factors of b.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358631981?\nAnswer: 358631981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/1617)\/(144\/64)?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 117? (a) 0.21 (b) -3.4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/((40 - 33)\/(3\/(-4 - -1))).\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298808*0.4.\nAnswer: 119523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 4*f + 14, -4*y + 2 = -3*f. Let l = 25.66 - 26. What is the third smallest value in 2\/9, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -13) + (19 - 1 - (722 - 712))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48242 (base 9) to base 2.\nAnswer: -111111000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9.73 + -13\nAnswer: -22.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 57 = -101. Suppose -5*i + 2*i + 12 = 0. Suppose -v = -i*f - 6*h + 3*h, -2*h + 8 = 0. Solve -4*u + 5*c + 0 = 20, 0 = 2*c - f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {c: 4, g: 16}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**3\/3 - m**2 + 5*m + 5. Let j be 1\/(-2) - (-42)\/4. Let w = j + -14. Determine c(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 446395, -4, -3, -1 in increasing order.\nAnswer: -4, -3, -1, 446395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*44\/(-6820) - (-226)\/620.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o**2 + o**2 - 3*o**2)*(1 - 3*o - 1) + 19*o**3 + 23*o**3 - 11*o**3 to d*o**2 + q + g*o**3 + h*o and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1251, 0.3.\nAnswer: -1251, -1\/10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171951584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304 - -2?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 48. Suppose k + r*q = 134, 500 = 4*k - 6*q + 2*q. What is the remainder when k is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -15.09.\nAnswer: -31.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g**2 - 2*g + 1. Suppose 14 = 3*v - 2*v. Calculate the remainder when (-582)\/(-14) - (-6)\/v is divided by x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35 - (-1111)\/(-33))*(-39)\/(-4). Solve -r = -4*c - j, -18*c + 5*j - 17 = -14*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164328888 and 380920?\nAnswer: 821644440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-90)\/(-11))\/((-250)\/(-162250))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -760 + 938. What is the common denominator of 65\/6 - (-1)\/(-4) and (-52)\/208 + t\/16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*p + 20 = 0, 64*p - 20 = -5*c + 68*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*q**2 - 11 - 37 - 23*q**2 with respect to q.\nAnswer: -382*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 39.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2013492 and 16198?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.41 - -2.59. Let y = -1688 - -1698.011. Let u = m - y. Round u to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - 41385\/(-801))\/(7\/(-177)).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3678 and 1758.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12832*z**4 + z + 7166?\nAnswer: -153984*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n + 2*n**3 + 15 + 0*n**2 - 3\/5*n**5 + 3\/4*n**4. Factor y(z).\nAnswer: -3*z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i*i**(-4\/3)\/i*i))*i)\/(i**7\/i))\/(i**(-3\/11)\/i*i*i)**(1\/7))**(-36) assuming i is positive.\nAnswer: i**(17844\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 173*u**3 - 3*u**2 - 3*u - 98. Let h(j) = 347*j**3 - 5*j**2 - 5*j - 195. Let x(b) = 3*h(b) - 5*r(b). Differentiate x(s) with respect to s.\nAnswer: 528*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9551*j - 9551*j + 20*j**2. Let s(b) = -15*b**2 + 5*b + 5. Let r(h) = 7*h**2 - 3*h - 3. Let y(u) = -5*r(u) - 3*s(u). What is y(f(z))?\nAnswer: 4000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Let r be (-5 - -1)*81\/6. Let y = r - -86. Calculate the greatest common factor of y and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17716711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8915000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/619? (a) 0.2 (b) -2\/3 (c) -4 (d) -0.5 (e) -0.9 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -615, -286 in ascending order.\nAnswer: -615, -286, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 30 = 4*q. Let f = 8 + q. Let u be (2 - (f - 0)) + 2. Solve -3*w = -u*g + 23, -2*w - 17 = 4*g + 3*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*b - 4090 + 3806 = -5127 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**4*d - 12*b**4 - 4*b**3*d + b**3 + 675*b**2*d + 2*b*d wrt b.\nAnswer: 96*b*d - 288*b - 24*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95370 is divided by 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 92. What are the prime factors of 21\/(-84) + (-42)\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 - 3 = 0. Does 3\/2 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-21) - 4\/(-14). Let t be (-2)\/(1*-2) + l. Let h be t*3\/((-3)\/1). Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2. Let a(j) = j + 1. Let g(m) = 8*m - 6. Let i(k) = 4*a(k) + g(k). Determine i(l(r)).\nAnswer: -36*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/6 + -1)*4. Suppose -g - 2 = 0, 3*n - 2*g - 67 = -0*g. Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 5*o + 0*o)*(-3*o**3 - 111 + 57 + 51).\nAnswer: 3*o**4 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 192*j - 133*j + 377 - 967. Calculate the remainder when 2349 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 5, -2, 4.\nAnswer: -2, 4, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(224\/96).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 288919 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g + 4. Let l be p(-7). Suppose 3*o + l*x + 7 = -6, -x = 4. Let q be o - 4*(-5)\/(-16). Is 4 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 17}. What is prob of picking 3 y?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + h + 1. Let t(r) = 23*r**2 - 7*r - 7. Let b(a) = 5*t(a) + 35*x(a). Let p(d) = 2*d**2. Give b(p(g)).\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 0 (c) -0.03 (d) -218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-1\/3)*j*j*j)\/j)*j)**(-2\/35)*j**(-7\/2)\/j**4 assuming j is positive.\nAnswer: j**(-1567\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 178925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*o + 2*o = 13, -v + 15 = 3*o. Suppose -2*p = 3*p. Let n be (33\/v - p)*-3. What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n + 4291 + 13517 = 0. List the prime factors of n.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19715437 and 690256.\nAnswer: 315446992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t + 120*t - 1372 = -13*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-1 + 3 - (-18 + -7 + 16)) + -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66a9 (base 11) in base 10?\nAnswer: 8831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3938 and -83526234.\nAnswer: -83522296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51985 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.5 + 6.5. Sort -0.09, t, 1, 2.\nAnswer: t, -0.09, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/((-504)\/(-5028780))*-5*8. Round t to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(66))\/sqrt(2))\/(6*sqrt(12)\/sqrt(4)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.1 - -39.1. What is the closest to 1 in h, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8412 - -2685. Let v = t + -199697\/18. What is the common denominator of v and 29\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 12*u + 5*r - 4480 = 0, -u = 4*r - 1109. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 676e1?\nAnswer: 676e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236*y - 601*y + 202*y - 733*y to c + j*y and give j.\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185 and 2405.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -279.9, -2\/3, -4\/7, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000435052 rounded to 6 decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000275 rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 32. Suppose -7*v + 50 = -a*v + 3*y, 30 = 3*v - 3*y. What is the highest common factor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4183486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 462*r**2 + 17787*r.\nAnswer: 3*r*(r + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.48*-17.\nAnswer: -25.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 164059456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b**(-2\/7))**(-40)\/((b**(-2\/5)*b\/b**0*b)\/((b\/(b**3\/b*b))\/((b*b**7*b)\/b))) assuming b is positive.\nAnswer: b**(-6406\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(2\/3))*g)\/g**(16\/7))\/(g**(-18)*(g\/((g\/g**(-6\/11))\/g))\/g) assuming g is positive.\nAnswer: g**(4372\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347616516 to the power of 1\/2, to the nearest integer?\nAnswer: 48452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8965884867 to the power of 1\/3, to the nearest integer?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 243 - 86 + 326 + r**2 - 81 as u + a*r + b*r**2 and give u.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, -1, -0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 86. Let v be ((-25)\/3)\/(((-3)\/(-756))\/i). Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 4*s**2 - 4*s**2 + 18*s**4 - 34*s**4 + 10*s**4 + (3*s + 2*s - 3*s)*(-3 + 3 - 3*s**3).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f - 3*x + 23, -2*f - 24 = -4*x. Put f, 7, 4, 0 in decreasing order.\nAnswer: 7, 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = a - 2*a + 13, a = 3*k - 1. Let t = a + 16. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273.117ml in litres?\nAnswer: 2.273117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -7865?\nAnswer: -78.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3544*w**4 - 3*w**2 - 5529*w.\nAnswer: -42528*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*-2*(-3*(sqrt(3) + sqrt(9)\/sqrt(3)))**2 + -4.\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.90609 nanograms in micrograms?\nAnswer: 0.04090609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255513.\nAnswer: 3, 53, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30596 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 + 155. Let -1\/4*c**2 + 1\/4 + c - c**r = 0. What is c?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 2 h when four letters picked without replacement from {q: 2, z: 2, l: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16907 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - -2.4. Put p, 1, -5 in decreasing order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.69 - 45. Let f = 0.09 - m. Let g = f - 0.39999888. Round g to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 2*d**2 + 2*d - 4. Let i be o(0). Let n be 26\/(-39)*(0 + 3\/i). Which is the smallest value? (a) 0.47 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8)*5*-2. Suppose d - h*v = 11 - 35, 4*v = 2*d + 18. Solve 6*t = 5*t - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/4 - -3) + (-59486)\/(-2428).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69918, -71902, -75210, -79842, -85798?\n\"Answer: -662*b**2 + 2*b - 69258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + -18?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - c**2 + c**2)*(10*c - 2*c + 3 - 3*c).\nAnswer: 10*c**4 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 3*a + 52. What are the prime factors of q(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*p**2 - 2231*p**2 + 6*p**3 + 745*p**2 + 747*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 2*c + 113 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497 + 148 = -15*m. Put -2, m, -4, 0 in increasing order.\nAnswer: m, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 7. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -0.7. What is the closest to 0.2 in 2\/11, y, -2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.234, -3.6, -4 in descending order.\nAnswer: -0.234, -3.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3 (c) 2\/91 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 = -12*c + 17*c. Let l be ((-4)\/9)\/(c\/675). Factor 4\/13 + 2\/13*g**l - 6\/13*g.\nAnswer: 2*(g - 2)*(g - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiqqiqiqiiiqiiii. Give prob of sequence iiii.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 306*m - 156*m - 2 - 149*m. Let s(k) = -42*k + 4. Let o(d) = -s(d) - 2*w(d). Let i(x) = 4*x**2. Calculate i(o(z)).\nAnswer: 6400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**6\/15 + 3*g**5\/10 - g**4\/12 - 5*g**2 - 49*g. What is the third derivative of p(x) wrt x?\nAnswer: -48*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let d(z) = -234*z**2 + 2*z + 2. Let v(s) = -33231*s**2 + 285*s + 285. Let h(o) = -285*d(o) + 2*v(o). Calculate c(h(w)).\nAnswer: 456*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:46 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 678*j + 1119*j + 7*j - 1054 + 108 with respect to j.\nAnswer: 1804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence res when three letters picked without replacement from {e: 1, r: 2, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2 - 5*u. Let l(t) be the first derivative of t**3\/3 - 2*t + 1992. What is x(l(n))?\nAnswer: -6*n**4 + 19*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -12, -318 = -2*j + 4*j - 2*n. Let a = -83 - j. Suppose 3*c - 886 = -a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r = -64*r - 217 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 23*t + 15. Is z(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3*(-6)\/10. Let s = -21.6 + 21.613. Let h = 3.013 - s. Which is the nearest to 1? (a) k (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 11. Suppose -27*f + l*f = -52. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0.3, -2\/5, 0.1, 5265, 14\/11?\nAnswer: 5265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 50)*(-53)\/212?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 - 10*v + 142. Suppose 2*k = -3*p + 89, -7*k + 4*k + 93 = 3*p. Calculate the remainder when p is divided by o(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.197 + 0.003. Which is the nearest to x? (a) -0.3 (b) -4 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1700*o - 839*o + 15*o**2 - 784*o to the form j + q*o + n*o**2 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 41631?\nAnswer: 41622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 9. Let d = l - -15. What is the lowest common multiple of (d\/3)\/3*6 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d (base 14) to base 12.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptpttopotopotpp. Give prob of sequence pp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Let x be (u + -2)*(-3 + 4). Suppose x*v = 3*r - 12, -4*r = -9*r - 3*v + 60. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 30415 = 17390 - 13303. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012439 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 1. Let a(m) = 30*m + 20. What is a(i) + 20*g(i)?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87645268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -4.6. Let s = p - 9. What is the biggest value in 0, -1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**3*b*q + a**3*q**2*s + 3*a**3*q**2 - 6*a**2*q*s + a*b*q*s - 2*b*q**2*s + q**2*s - q wrt a.\nAnswer: -48*b*q + 6*q**2*s + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*h = -2 - 1, -2*k + 3*h + 21 = 0. Suppose 5*d + 5*v + 10 = 0, 0 = -d + v + 2*v + k. Let r(m) = -5*m + 1409. Is r(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -387105*m**3 + 73906?\nAnswer: -1161315*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -f - 13, 5*l = -5*f + 6*f + 25. Differentiate -26 + 66 + 9*b**2 - l with respect to b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/521705?\nAnswer: 6\/521705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + u + 5 = 0, 29*j + 2*u + 1 = 30*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 = 5*n - 9*n, -n = 2*s - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/63 + (8\/(-36))\/1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/t**(1\/4)))\/t*t**9)\/(t**6)**38)**(-15\/8) assuming t is positive.\nAnswer: t**(13125\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 27. Is 2 a factor of (16\/12)\/(4\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*q - 31 = 0, -2*q - 8 = -u - 3*q. What is the least common multiple of u and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d - 3. What is the tens digit of n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4454906, 4454905, 4454904, 4454903, 4454902, 4454901?\n\"Answer: -q + 4454907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -13. Suppose f = 5*q - 280. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.7. Suppose -8 = -3*m - 2*d, -5 = 3*m - 5*d - 6. Let x be (m - 1)*(-3)\/9. Which is the biggest value? (a) 4 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a2327 (base 11) to base 8\nAnswer: 443730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 24 = 7*g. Let j = 5564 - 5568. Sort 9, j, g.\nAnswer: j, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/2 + 11459*m**3 + 11462*m**2 - 57299*m + 68757\/2 = 0. What is m?\nAnswer: -3, 1, 22919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 1, u: 2, d: 3}. What is prob of picking 1 j and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141325?\nAnswer: 3, 5, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.068\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607 = -40*i + 654 - 1221 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57010553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/19)\/(f*f*f\/(f*f**(-21)\/f)*f*f*f)*(f**(-4\/19))**(22\/3))**(1\/14) assuming f is positive.\nAnswer: f**(-235\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*f - 12, -3*u = f + 35 - 49. Calculate the remainder when (10\/(-4))\/((-20)\/u)*1678 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3870)\/(-344) + -12 + 1\/(8\/14). Let a = 0 + 2. What is the closest to -2\/5 in a, -3\/4, x, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwabwqnb. What is prob of picking 1 b, 1 n, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416619022 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -544270.\nAnswer: -1\/544270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/120 - 19*o**5\/60 - 19*o**4\/24 - 8*o**3\/3 - o**2. Let a be t(-18). Solve 4*i = -a*w + 6, -i + 2*w - w = -9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**4)*(u\/((u\/(u\/u**(-8\/9)))\/u))\/u*u**(-15)*u**(-15) assuming u is positive.\nAnswer: u**(-289\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 9:48 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 672c?\nAnswer: 6735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**8\/1344 + r**7\/560 - r**6\/240 - r**5\/160 + r**4\/96 - 162*r**2. Solve k(p) = 0 for p.\nAnswer: -2, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 11.2?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 29*w**2 + w + 34. Let x be p(-29). Let s(f) = -f + 5. Let g be s(x). Suppose -q + 2*q - 967 = g. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 + 2*h + 6. Let w be 42\/2*(2 + 0 - -1). Let k = -66 + w. Does 2 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 + 4*w + 2. Let k be a(4). Suppose 4*s + 28 = 4*u, -5*u + 0*s + 14 = k*s. Suppose -u*c = -1265 - 2291. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 4 - 3*d**3 + 0*d**3.\nAnswer: -d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 26 + -4 - (21 + 9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6272884 hours in weeks?\nAnswer: 0.06921005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5 (c) -0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.56 - 0.83. Round r to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 71, -4, -5.\nAnswer: -5, -4, 1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41654*x*y**3 - 68*x*y - x + 16*y - 1 wrt y?\nAnswer: 249924*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-4*z**3 - 8*z**3 + 11*z**3)*(-1027 - 42*z + 1027).\nAnswer: 84*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**7\/2310 - c**6\/1320 + 3*c**5\/220 + 3*c**4\/88 + 44*c**2. Factor m(k).\nAnswer: -k*(k - 3)*(k + 1)*(k + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/((n\/n**(-1\/5))\/n)*(n**(2\/7))**(9\/2)*(n**4*n**1)**(-36) assuming n is positive.\nAnswer: n**(-6402\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -4*1\/2. Let q(v) = -d + 8*v + 1 - v - 2*v. Let l(r) be the first derivative of 11*r**2\/2 - 2*r + 2. Determine 4*l(a) - 9*q(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3089, 6179, 9269, 12359, 15449, 18539?\nAnswer: 21629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317633 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:19 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59257 + l**2 + 121*l**4 - 59257 + l wrt l.\nAnswer: 2904*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*q + 219*q + 8 = -0*r + 4*r, 2 = -0*q + 9*q + r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3694 and 8\/3.\nAnswer: 11082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 163, 119, 37, -95, -289, -557?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 725 - 725.2. Let t = -6 - -6.03. Sort t, x, 4 in increasing order.\nAnswer: x, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 g when three letters picked without replacement from tigggtcoibgt?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -862 divided by -862\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -36. Put -31, h, 4 in ascending order.\nAnswer: -31, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -2*k. Solve -k*j = j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 92, 25, -80, -235, -452?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 6:13 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-44))\/((-190)\/(-19)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (2 - 2 - 8). Let t be 8\/x + (-16)\/12. Let h be (-4)\/(-1)*1\/34. What is the closest to 0.1 in -4\/7, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Find the third derivative of -22*k**2 + 13*k**6 - 11*k**6 - k**a - 11*k**6 wrt k.\nAnswer: -1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - 23*j + 12. Suppose -58*q - 126 = -67*q. What are the prime factors of z(q)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**32\/(p\/(p*(p*p**32)\/p*p)))**38 assuming p is positive.\nAnswer: p**2470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -26*d - 156. What are the prime factors of p(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -3 - 3) + (-7 + 3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*d + 8, 5*g = 3*d - 136 + 146 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 47 + 25. Let x be (0 - 3)*f\/12. Let z(l) = -l**3 - 11*l**2 - 12*l - 14. Let t be z(-10). Solve -4*b - x - t = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3464351 - 112154 = 162*a - 660381. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -43. Let a be ((-2)\/(-1))\/(g\/(-9)) + 0. Find the second derivative of -4 + 4 + 2*s**a - 18*s + 14*s**3 wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 11}. What is prob of picking 3 x and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1019, 8, -2 in decreasing order.\nAnswer: 1019, 8, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (584*a**3 + 1010*a**3 + 151*a**3)*(-3*a + a + 0*a).\nAnswer: -3490*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209322669?\nAnswer: 3, 113, 617471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37552, 37210, 36640, 35842, 34816?\n\"Answer: -114*x**2 + 37666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4071 or 3625?\nAnswer: 4071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*s = -4, k + 2*s - 8 = -k. Let x(b) = b**3 - 6*b**2 + b - 3. Calculate x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 330\/(-825) + (-12)\/(-10)*-3. Let n = 0.7 + -3.7. Which is the smallest value? (a) n (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = -0. Suppose -16 = -3*d - d. Let j be 6\/(-63)*(d - u). What is the nearest to j in -1, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*i - 18, 15*q = 17*q - 4*i + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**2 - 847127 + 731*u**2 + 175*u**2 + 847127.\nAnswer: 848*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z - 1 + 0 + 0. Let l be q(2). Let y = 33 - l. What is the greatest common factor of 110 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**2\/2 - 1. Let r(y) be the third derivative of 0*y**4 + 0 + 4*y**2 + 0*y**3 + 0*y - 1\/12*y**5. Calculate d(r(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6134 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - y**3 + y**3)*(1 + 3 - 2) - 3 + 20*y**3 + 3 + (8*y**3 - 3*y**3 + y**3)*(3 - 4 - 1).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2. Suppose 5*a + 5 = 2*r, 0*r = -3*a + 3*r - 3. Calculate i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 21*t + 42. Let w be a(-14). Suppose 2*b - 250 = 2*z, 2*z + 240 = 3*b - w. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 - 77. Let j = 16 - 22. Give o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 668\/14 + (-6)\/(-21). Suppose -n*m + 54*m - 150 = 0. What is the third derivative of -219*y**3 + 14*y**5 + 219*y**3 + m*y**2 wrt y?\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1589936.\nAnswer: 2, 99371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -205*w**2 + 2*w - 3. Let r(p) = p - 1. Calculate -2*r(c) + u(c).\nAnswer: -205*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.581527 days?\nAnswer: 50243932.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 + 3)*(1 + 0). Let k be 1*-3 + (-42)\/(4 - 10). Find the second derivative of -b**k + o - 2*b - 17 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1091056 times 10?\nAnswer: -10910560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (21\/423)\/(-7)*36\/(-738)*-41\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 642048.4ng?\nAnswer: 0.0000006420484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*j**2 - 172*j**2 - 2*j + 89*j**2)*(-4*j + 4*j + 2*j).\nAnswer: 36*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 8:18 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*u + 3439 = -961*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5000*w**3 - 2062*w**3 + 1273*w**3.\nAnswer: -5789*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/60 + g**4\/24 + g**3\/2 + 3*g**2\/2 - 2*g. Let z(w) be the first derivative of o(w). Determine z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20 + 3 + (-11)\/((-55)\/(-45)). Let m = 42 + -21. What is the greatest common factor of m and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -584740112 divided by 2\nAnswer: -292370056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3.22 (b) -0.3 (c) 0.12 (d) 1.1 (e) -2\/17 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*a**2*l**2*s - 2*a**2*l*s - 8*a**2*l + 12*a - 2*l**2 + l*s + l - 1 wrt a.\nAnswer: -66*l**2*s - 4*l*s - 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81727 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: Find the common denominator of -13\/76 and 67\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240893.\nAnswer: 240893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 14*n**2 + 11*n + 2. Let k be c(-15). Let h = k + 157. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-28))\/(32\/56)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12347, -12344, -12341, -12338, -12335?\nAnswer: -12332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759*w + 199*w + 186*w + 204*w - 7 + 208*w.\nAnswer: 38*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.3 (b) -1 (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 13. Suppose 0 = -a - 2*a - 3*t + 3, 2 = o*t. Suppose -2*c + 2 = -a*c. Is c at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**2 - 7*f + 2*f**2 + 3 - 2*f**2 - 2*f**2. Let p(h) = 5*h**2 + 4*h - 2. What is -7*p(a) - 4*t(a)?\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 270118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 267 in -3, -2\/99, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {r: 1, w: 2, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0480068 + -0.048. Round x to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*u - 11, 15 = -3*u - 2*u. Let q = -22 - i. Solve q*d + 10 = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1741 - -1531. Is -204 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/58*8\/(-57). Let f = 55779\/4408 + o. Find the common denominator of f and 38\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.8 + 12.8. What is the smallest value in 3\/4, -2\/13, 1, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(11308\/3024 + -4 + 18\/72). Let g = -106 + 48. Let b = a + g. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12432 by 4144.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(2\/17))*g)\/((((g**(3\/5)*g)\/g)\/g*g)\/g))\/((g*g**(5\/2))\/g**(-13)))**(-1\/51) assuming g is positive.\nAnswer: g**(2587\/8670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62360.271 and 6.\nAnswer: -374161.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1421 and 71659?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005064 rounded to seven dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11268786, -22537546, -33806306?\nAnswer: -45075066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*a**2*v**6 - 238*a**2*v + 2*a*v**6 - 7*a*v**2 wrt v.\nAnswer: -23640*a**2*v**3 + 240*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106883, 427484, 961803, 1709834, 2671571, 3847008, 5236139, 6838958?\n\"Answer: -k**3 + 106865*k**2 + 13*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4704 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -3\/2, 5, 26\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let w(g) = -3*g**2 + g**2 + 3*g**u. Let r(c) = 5*c - 3*c + c. Calculate r(w(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/12 - i**3\/2 + i**2 + 3*i. Let s be z(2). Suppose 0*d + 3*d - 12 = s. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 4) to base 12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/390 and 81\/100681672?\nAnswer: 1510225080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 12 + 1243. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (94098\/30 - 6\/(-15))*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 56, 64, 3, -1 in descending order.\nAnswer: 64, 56, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/(1 + 8 + -8) - 5. Solve 18 = -q*n + 12*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302 - 70825.\nAnswer: -70523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-16*c + 6*c - 14*c) - 5*c + 3*c + 4*c - 12 + 9*c - 2 + 13.\nAnswer: -13*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28708, 28641, 28574, 28507, 28440, 28373?\nAnswer: 28306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10861693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -43*u**2 + 1104*u - 76176. Let v(a) = -20*a**2 + 552*a - 38088. Let y(r) = -6*i(r) + 13*v(r). Factor y(j).\nAnswer: -2*(j - 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 3:16 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 242.6 from 2199.\nAnswer: 1956.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 4, y: 3}. What is prob of picking 2 c and 2 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(77) - (sqrt(77) + (sqrt(77)*-4 - sqrt(77)) + sqrt(77) - sqrt(77)))*5)\/(sqrt(21)\/(sqrt(6)\/sqrt(2)*-6)) + 5)**2.\nAnswer: -4500*sqrt(11) + 2227525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-193033)\/2329 + 2\/(-17) + 0.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b56 - 43?\nAnswer: 3b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51313832473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3170 - -3167. What is the fifth biggest value in -0.1, 1\/5, 6, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139554932*t**4 + 1466087*t**2 - 21*t.\nAnswer: -3349318368*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7113418 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o + 44. Let m be u(3). Solve 13*y = 17*y - m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10210221101 (base 3) in base 11?\nAnswer: 51421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - i**3 - 23921*i + 23923*i. Suppose 35 = 3*z + 14. Let a(g) = -3*g**3 - 7*g. Calculate z*r(d) + 2*a(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.71568 litres in millilitres?\nAnswer: 81715.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14697 by 1489.\nAnswer: -14697\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -d - 3*z, 0 = -d - 45*z + 44*z - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49024 and 1408.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l - 3. Suppose l*h + 0*h - 195 = -5*b, -b = -4*h + 171. Calculate the greatest common factor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 1, w: 4, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -12. Let y = -12 + s. Let u be (-27 + -3)\/(y\/2). Calculate the greatest common divisor of 50 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -26090331?\nAnswer: -104361324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 609.042 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 = r - 9*a, -2*a = r - 10. Let u(h) = -h**3 + 4*h**2 + 3*h + 2. What is the units digit of u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 30*c - 16*c.\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 38774.39 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -705553131 less than -5?\nAnswer: 705553126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -464363 (base 7) in base 2?\nAnswer: -10100010011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from {y: 3, d: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0)**(-3))**(-1\/24))**(1\/6) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 12912 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2857*s - 17981 + 82294 + 37959 = 681*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/4 + 5*z**3 - 5*z**2 - z + 25. Is p(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 434 = 54*i, 10 = i - 21*y + 20*y for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 244*q - 272. Let o be b(15). Suppose -z + 3400 = 4*d, 43*d - o = 39*d + 2*z. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Solve -20 = -2*h - 4*m, d*h = h + 5*m - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 45*d**2 + 5*d + 228. Let l be a(-45). Solve -20*h = l*h + 46 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/3 + 169*k**2\/3 - 472*k = 0. What is k?\nAnswer: -177, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 3*g - 31, -3*g + 41 = 4*a. Calculate the remainder when -4 + 2403\/13 - 3*20\/(-390) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -905069843\/120 - -7542342. Let o = -280\/3 + k. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**5 + 4989*w**3 - 17798*w + 2 wrt w.\nAnswer: -100*w**3 + 29934*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - 4.95. Let o = 3.2 + s. Let i = 0.2 - o. Put i, -3, 0.2 in increasing order.\nAnswer: -3, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5171479 is divided by 478?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5476 is divided by 137.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 15*z**3 - 2*z**2 - 6*z + 10. Let f be s(4). Let l = 6061 - f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 24 - 24 - k**2. Let a(u) = -4*u. Determine t(a(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131195858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3410 and -101\/24880.\nAnswer: 8484080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 + 4. Let m = -0.4 + z. Suppose -4 - 4 = 3*j - 4*h, 0 = j - 5*h + 21. Which is the biggest value? (a) m (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5)*(-70)\/(-14). Suppose -5 = g*b - 3*b. Suppose -b*f + f + 72 = 0. What is the lowest common multiple of f and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1506303 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*r**2 + 112*r**2 - r**3 - 229*r**2 - 6*r in the form g + w*r + v*r**3 + n*r**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*s - 47. Suppose 3*r + 1 = 4*l, -5*l + 12 = 5*r + 2. Put -6, l, s in descending order.\nAnswer: s, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9e + -56?\nAnswer: -f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 36. What is the remainder when 1 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*j - 39, g - 4*j + 12 = -5 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71249 + 71249 + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*((-20)\/(-7) + -2). Suppose 0 = -w*z + 2*z + 4. What is the smallest value in 1\/9, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/120 - 2*v**5\/15 + v**4\/4 + 3*v**3\/2 + 4*v**2. Let i be d(7). Does 13 divide (1 - (-37)\/2)*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4542 = -26*g - 21806. Which is bigger: g or -666?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1041, 4333, 9873, 17655, 27673, 39921, 54393, 71083?\n\"Answer: -y**3 + 1130*y**2 - 91*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 5*v - 16, -3*v = -15. Let s be ((-24)\/(-20))\/(h\/(-20)). Let z be (10\/s)\/((-1)\/4). What is the highest common divisor of z and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*w**6 + 4*w**5 + 31*w**3 + 51338*w**2 wrt w.\nAnswer: -5880*w**3 + 240*w**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -33*s + 1200. List the prime factors of h(17).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-1 + 3 + 4 - (10 + 3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 11*q + 16. Calculate y(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**4 + 1\/6*p**3 + 3*p**2 - 1\/15*p**5 + 0*p + 0. Find the first derivative of k(o) wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -30, 20, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 7 = -93 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 2, p: 1}. Give prob of sequence px.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/8*h**2 - 3\/8*h**3 + 27 + 117\/4*h.\nAnswer: -3*(h - 12)*(h + 1)*(h + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2 - -1) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201594*d**3 + 3563107*d**2 wrt d.\nAnswer: -1209564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 3.89. Let s = 355 + -238.5. Let z = s + -117. What is the smallest value in y, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = -23. Let n be 748\/6*(-9)\/t. Calculate the greatest common factor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.319 + 0.219. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6277 + 3183 = 119*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/39 and 55\/210717.\nAnswer: 210717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186572, 746203, 1678926, 2984741, 4663648, 6715647, 9140738?\nAnswer: 11938921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = 5*z - 2, 0 = 3*z - 5*i - 3. Which is bigger: -17\/121 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31379 = 49*n - 32310 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**5\/20 - 2*l**4\/3 + 3*l**3\/2 - 2*l**2 - l - 2. Let b(a) be the first derivative of g(a). List the prime factors of b(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10)*20\/(-4). Let p be 3\/9 - b\/6. Suppose p*g - g = -3. Let t(o) = 2*o - 4. Determine t(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5287 + -5292. Let t = -60 - -178\/3. Let r = -8.911 - 0.089. Which is the fourth smallest value? (a) t (b) x (c) -3\/4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 29 = 11*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzmmmmmmmmm. What is prob of sequence zzm?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 235809.3 months?\nAnswer: 19.650775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272 + 293. Suppose x*b - 8*b - 6500 = 0. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31889\/(-143)*24*-1?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 62. Let z be ((-18)\/s)\/((-6)\/4). Which is the third biggest value? (a) 0.3 (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.889 + -0.294. Round y to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxvxxxvvxvvxxv. Give prob of sequence xv.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8 - 7*l + 5*l + 0*l. Let v be c(4). Solve -3*z + v*z = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1828.423632 rounded to 1 dp?\nAnswer: -1828.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2552 and 5\/901494?\nAnswer: 3605976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*g = 9, 3*x + 2*g + 2*g = -7. List the prime factors of x\/2*36\/(-30) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 10*l**2 - 11*l + 2. Let z be o(11). Suppose -z*a + 227 = 2*q - 221, -3*a + 4*q = -665. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 10*f + 4. Let g be b(-8). Suppose -6*t + 2*t - 104 = 0. Let x = 36 + t. What is the highest common factor of g and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*v**6 + 2*v**4 + 15*v**3 + 127*v**2 + 9*v + 2.\nAnswer: 4080*v**3 + 48*v + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**4 - 520*m**5 - 6*m**3 + 4*m - 12*m**2 - 3*m**4 + 521*m**5 + 19*m**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -320*i + 1. Let c be r(-1). Suppose -5*v + 2*v + c = 0. Let u = 154 - v. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/154*-48*(-45)\/(-60)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - 2*h**3 + 5304*h - 5304*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 28, 29, 32, 37?\n\"Answer: h**2 - 4*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(576) - sqrt(576)) + sqrt(576))\/(sqrt(144)\/sqrt(8)).\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1155382, 1155405, 1155428, 1155451, 1155474, 1155497?\nAnswer: 1155520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = -4*m, -3*z - 4*m + 625 = 0. Suppose 5*p - 2713 + 2904 = 4*o, 172 = 3*o + 2*p. What is the remainder when z is divided by o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -145137?\nAnswer: -145140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:04 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/15)\/(1\/(-720)). Suppose -d = -5*d + u. Suppose 2*m - 7*m = -d. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -943, 5\/242, -0.1 in ascending order.\nAnswer: -943, -0.1, 5\/242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-2 + -3))*-3. Let h be -150 + 146 - (1 + -2 + 2). What is the closest to 0.1 in -0.1, h, -3, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36124 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 v = -23.148 - -23. Let s = -0.062 + v. Which is the closest to 0.1? (a) s (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 10*q + 48 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/165 + 382\/2145. What is the third biggest value in 3\/2, 0, -3\/4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2783 + -2781. What is the closest to a in -1.9, -1\/3, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**3 + 44*o**2 - 40*o + 12.\nAnswer: -4*(o - 1)**2*(4*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*s - 8. Let y = 11 - s. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -70. Differentiate -16*q**k - 41*q**3 - 41 - 23 wrt q.\nAnswer: -171*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43656, 70760, 97864, 124968, 152072, 179176?\nAnswer: 206280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -843.3001 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557475 is divided by 16390.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517286 is divided by 535?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 392\/(-294) - (-3 + 3\/3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -210451, -210473, -210509, -210559, -210623?\n\"Answer: -7*c**2 - c - 210443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164.7 + 165. Which is the second biggest value? (a) u (b) -33 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -33. Let d = 13 - q. Is 0.1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467 + -453. Suppose -f*g + 12*g = -8302. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 98 + 17. Let k be 2 + (-4 + 2)\/(-2). Calculate the highest common divisor of k and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2402 + 14?\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, 9, 5, 2\/11 in decreasing order.\nAnswer: 9, 5, 5\/8, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((-14)\/2184*26).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7833.\nAnswer: 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*243\/(-135)*2\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20 - 2*j**2 + 8 - 2*j**2 + 16*j.\nAnswer: -4*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1110509, -2221020, -3331531, -4442042, -5552553, -6663064?\n\"Answer: -1110511*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 245*v + 12. Let f(y) = 28*y - 111. Let t be f(4). Does 39 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {m: 7, n: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*h*l - a**3*h - 1455130*a**3*l - 2*a**3 - 6*a**2*h*l + 16*a**2*h + 3*a**2*l + 2*a*l - 11*h*l - h - 11*l wrt a?\nAnswer: 12*h*l - 6*h - 8730780*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 332 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**3 + 111*l**2 + 4*l. Let f(s) = -2*s**3 + 26*s**2 + s. Let h(n) = -4*f(n) + v(n). What is h(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**4 - 8344798*y**3 - 62546968*y**2 wrt y?\nAnswer: 144*y - 50068788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2896 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -15 + 3\/(-3). Let d = 23 + u. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y - 7. Let j be l(-5). Suppose 10*a = j*a - 3186. Let k = a - 541. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 14) to base 10.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4445\/(-2286) + (-2)\/36. Sort -3, 3, a, 58 in ascending order.\nAnswer: -3, a, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56836 less than 2.09?\nAnswer: 2.65836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z + 47. Let c be p(-4). Is c <= 134\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/(-10))\/((-26)\/65). Solve x*y = 4*y - 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. What is o(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*y = 85, -3*y - 32 + 3 = -m. Suppose 3*r + 6 = -0*r. Let a be (32\/m)\/(r\/82500). Round a to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2323 rounded to 2 dps?\nAnswer: -2.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3195060702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7690.\nAnswer: 2, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12538736?\nAnswer: 2, 7, 111953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -9*o + 21. Is o\/((-14)\/(-6)) + 53 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-10)\/35 + (-704)\/(-14) and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) -3\/2 (c) 4 (d) 30\/11 (e) -0.3 (f) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 85*x**2 + 11*x - 11. Let d(p) = -12*p**2 - p + 2. Let s(j) = 7*d(j) + u(j). Suppose 0 = 3*q + 16 - 1. Determine s(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -13555*20\/(-50)*((-12)\/(-8) - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107*363.6\nAnswer: 38905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -13)*(-1)\/(-2). Suppose 4*g + 11 = z*r, 0*g + 16 = g + 5*r. Let d(w) = w**3 - 2 + g + 0 + 2*w**2. Give d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + g = -3*g - 15, g = -3*c + 10. Calculate the remainder when 12 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/4 - -2)\/(1\/76) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)\/w)\/w**(1\/7)*((w**2*w)\/w)\/((((w**(-1\/17)*w*w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(1259\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + t - 16, -8*b = -12*b + t + 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2*5 + -2*(sqrt(77)*-2 + sqrt(77) - sqrt(77)))\/((-4*(sqrt(110) + (sqrt(110)*4 - sqrt(110) - sqrt(110)) + sqrt(110)))\/sqrt(10)).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h*j**4*r + h*r**2 + 3*h + 3988*j**4*r**2 + 17*r**2 + 1 wrt j?\nAnswer: 4*h*j**3*r + 15952*j**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264315.\nAnswer: 3, 5, 67, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540833.\nAnswer: 379, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 81844268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.7 - 48. Let g = -4 - q. Suppose -15 - 10 = 5*r. Sort -0.5, r, g in ascending order.\nAnswer: r, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + 5*h)*(0*h**2 + 2*h**2 + 0*h**2) + 2*h**2 - 2*h**2 + h**3 - 6*h**3 + 0*h**3 - h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237.2 - 74.8. Let o = w + 311.667. Round o to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 285*i + 293*i - 576*i + 3. Suppose -2*t - k = -1 + 2, 0 = 3*t - 2*k - 9. Let l be ((-1)\/1)\/(t\/5). What is h(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 5*a = 35, 0 = 5*u - 2*a - 17. Let v(z) be the first derivative of -u - 2*z**4 + 16*z**3 - 2*z - 16*z**3. Differentiate v(c) with respect to c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - d + 7. Calculate the remainder when s(6) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31232521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 6. Let b be 0 + (-3 - -2) - h. Let k(n) = -3*n. Let a(q) = 9*q - 1. Let o be 380\/(-35) - -4 - 2\/14. What is b*a(i) + o*k(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*f - 69*f = 40*f - 2223 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -122.48284915?\nAnswer: -121.78284915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:52 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i - 30*i = 12*i - 296 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*i + 16 = 0, f + i + 9 = 3*i. Let m be -1*(f - -1) - 305888\/26880. Let h = -339\/40 - m. Find the common denominator of h and 34\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-4))\/(-5))\/((-26)\/(-156))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64595 is divided by 21501?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6118112186127 and 1.13?\nAnswer: 6118112186125.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 59. Let w be (1 - p) + -13 + -2 + 11. Solve -2*j + w = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48330 - -22?\nAnswer: 48352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 6*u - 14522*u**2 - 95 + 7240*u**2 + 7283*u**2 in the form m*u + l + q*u**3 + f*u**2 and give l.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 3*v - 120, 0 = 3*v + 5*k - 120. Suppose 4*h + v = 96. What are the prime factors of (4\/(-14))\/((-2)\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1)*(163*l - 163*l + 158*l**3 - 1) to the form h + f*l**3 + c*l + d*l**2 and give f.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14050 divided by -5.\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**8\/33600 - s**6\/1200 - s**5\/300 + 29*s**4\/24 + 20*s**2. Let h(z) be the second derivative of f(z). Factor h(i).\nAnswer: (i - 2)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256239 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 27*m\/2 + 55.\nAnswer: (m - 22)*(m - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3968 is divided by 95?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 15*w - 12*w + 5*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899828919?\nAnswer: 3, 11, 1009909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5667 - 10*p + 4*p - 5667. Let a(d) = 2*d**2. Calculate a(s(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2140 + 791. Let x = 4455 - k. Is (1\/3)\/(4\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, c: 10, t: 4}. What is prob of sequence ff?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*h + 32 = -9*v - 690*h, 3*h = 3*v + 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) -365 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(8\/3)\/n)**(-6\/29)\/((n\/(n*n**(-5\/2)*n))\/n)**(1\/10) assuming n is positive.\nAnswer: n**(-349\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -426, -439, -468, -519, -598, -711?\n\"Answer: -v**3 - 2*v**2 - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/20)\/((-200)\/1520)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17440, -6, 21, 1 in descending order.\nAnswer: 17440, 21, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*j + 19411 - 19411.\nAnswer: 546*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = -213. Suppose -4*w - o = 9. What is the units digit of 72\/15 - 4\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 28*q + 800 = 94*q. Suppose q*o**5 - 74\/5*o - 24\/5*o**4 - 22*o**3 + 156\/5*o**2 + 12\/5 = 0. Calculate o.\nAnswer: -2, 1\/2, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*x - 10, q = -4*q - x + 16. Suppose -q*h + 450 = 78. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*v = -17 - 10, -4*o + 3*v + 36 = 0. Find the common denominator of ((-186)\/11)\/3 + 2 and (-106)\/o - -2 - -2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11036893*f**3 + 8136591*f**2 wrt f?\nAnswer: 66221358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/15 + 5*q**4\/3 - 10*q**3 - 3*q**2. Let z(c) = -c**2 - 8*c + 12. Let v(u) = -3*d(u) - 16*z(u). Factor v(o).\nAnswer: 4*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11799, -9, -1 in descending order.\nAnswer: -1, -9, -11799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -8, -5, 0, 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 35*r**2 + 41*r + 56. Let a(f) = -f**3 + 12*f**2 + 13*f + 21. Give 8*a(y) - 3*z(y).\nAnswer: -2*y**3 - 9*y**2 - 19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (17 - -3) + -21 + 15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 4 - 3 + 0*k**3 - 3*k**2 - k**3. Find a, given that z(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -74626, -149240, -223854, -298468, -373082, -447696?\n\"Answer: -74614*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*g**3*i**3*x + 33*g**3 - 5*g**2*i*x + 22*g*i**3*x - 12*g*i**2 - 2*g*i - 3*i**3 wrt i?\nAnswer: -948*g**3*x + 132*g*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)\/r*r\/(r**(-6)*r)*r assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 + 2*x + 5. Let q(v) = 8*v**2 + 3*v + 6. What is 6*n(r) - 5*q(r)?\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37029\/13354 - -1\/6677. Let y be (-3828)\/192 - (-2 + 0). Let i = y + 145\/8. Calculate the common denominator of n and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1564964 and 10426184.\nAnswer: 10364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8*h + 6*h + h)*(-4*h**2 - 3*h**2 + 4*h**2)*(-3*h**2 - 5*h**2 + 2*h**2).\nAnswer: -18*h**5 - 126*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + h + 1708 - 1624 = 0, 0 = -2*y - 4*h - 286 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555344 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 - 15*w. Let k(v) = -17658*v**2. Determine q(k(o)).\nAnswer: 2806244676*o**4 + 264870*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13057363 is divided by 91?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16588 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*y = -42796, -3*x + 4*x + 8540 = 4*y. Let a = x - -889803\/104. Let t = -165\/52 + a. Calculate the common denominator of -51\/14 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 3*c - c + 6*c. Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 15*v + 21. Let u be h(-15). Calculate the greatest common factor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) 4 (c) 0.3 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*l + 183*c**2*l - 3*c**2 - 2*c*l + 8*l - 17 wrt c.\nAnswer: 6*c*l + 366*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-18 + 4 + (51 - 63))) + -1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 15*h**2 - 23*h - 6. Let a(z) = z**3 - 17*z**2 - 24*z - 7. Calculate -6*a(d) + 7*w(d).\nAnswer: -13*d**3 - 3*d**2 - 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 1:47 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.1, 0.3, -15\/7, 5, 1\/16, -1.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:15 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + d5?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4260768.\nAnswer: 2, 3, 44383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.27 + -1.27. Let z = 15 + -17. Let n = 0 - z. What is the biggest value in n, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/8 + 13473*k\/4 - 100935.\nAnswer: -(k - 26916)*(k - 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3522 + 7218. What are the prime factors of f?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/137, -0.01, -3, 3 in decreasing order.\nAnswer: 3, -0.01, -4\/137, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/14*(953 + -961). Factor h*m - 5\/7 + 1\/7*m**2.\nAnswer: (m - 1)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 8. Let m = k + 24. Calculate the least common multiple of (-6 - 75\/(-10))*64\/m and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/281 - 10762\/1967. Let y = 8383\/7 - 1200. Calculate the common denominator of c and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -95, -188, -297, -428, -587, -780?\n\"Answer: -c**3 + c**2 - 79*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -432, 878.\nAnswer: -432, -23, 878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 8*b**2 + 6*b - 5. Let u be n(-7). Let s(d) = 3*d - 2*d - u*d. Let a(q) be the second derivative of -q**4\/3 - 2*q. Determine a(s(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -5*f + 172. What is the second biggest value in 0.4, f, 24?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160623991 to the power of 1\/2, to the nearest integer?\nAnswer: 12674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*s = 50, -30*r - 11 = -28*r - 5*s. Solve 5*b + 3 + r = -4*a, 0 = -a + 3*b + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -742*b**2 - 85*b - 4?\nAnswer: -1484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(-8\/5)*f**(-7)*f**(-8)\/f*f assuming f is positive.\nAnswer: f**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5775 divided by -105\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = -261*a - 4993 - 23 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m + 2 - 3*m - 6. Let x = -3 + 71. Let a = x - 73. Calculate r(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m - 4. Suppose 0 = 5*r - 25, 2*r - 30 - 12 = -4*n. Let c be (n\/(-5))\/((-2)\/5). What is o(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 - 14\/(-28). Suppose 4527 = -0*s - 3*s + x*i, 0 = 4*i. Is 9 a factor of s\/(-11) - -2*(-2)\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50 + 20026\/(-403))\/(2\/65)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 406657, 406658, 406659, 406660, 406661, 406662?\n\"Answer: g + 406656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/35 + 34\/315. What is the closest to -4 in 0.1, 2, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2019, -4138, -6255, -8370?\n\"Answer: k**2 - 2122*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.59 or 34995?\nAnswer: 34995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/56 and -87\/4214.\nAnswer: 16856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + 91. Let r(m) = 2*m + 237. What is r(o(z))?\nAnswer: 6*z**2 + 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5821.789 millennia to months.\nAnswer: 69861468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1382, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449264 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205301037?\nAnswer: 17, 53, 269, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33183 rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 1, f: 1, n: 5, w: 3}. What is prob of picking 2 w and 1 t?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*c - 71. Calculate the remainder when 62 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + r = 3, -4*x - 3*r - 6 = -r. Let p(z) = 4*z - 51. Let b be p(14). Let m be 6\/x + b - -13. Solve 4*q - 25 = -q + 5*s, 3*s = -3*q + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5800, 6347, 7262, 8545, 10196, 12215, 14602?\n\"Answer: 184*n**2 - 5*n + 5621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2344 = -7*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -256 - 69*f - 200 + 488 to l*f + q and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjf when three letters picked without replacement from fffffnjffffjfjnj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -65939\nAnswer: 24\/65939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 - -359. Let s(w) be the second derivative of 0 + 0*w**3 + 1\/30*w**6 + 0*w**f - 1\/6*w**4 - 1\/20*w**5 + 15*w. Find k such that s(k) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g + 3. Let w(c) = -14*c - 13*c + 7 + 59*c - 11*c - 6*c. Calculate 13*l(n) - 6*w(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = u - 4*k, -4*k + 5 = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 - 11*j + 9. Calculate t(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 131846 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*o**3 - 2950533*o**2 + 235380254*o?\nAnswer: -204*o - 5901066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -12. Let c = r + 35. Let w = -23.6 + c. What is w rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16691301599074 and 0.3.\nAnswer: -16691301599073.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3144 + -3140.966. Let j = -0.034 + f. Which is the third biggest value? (a) j (b) 0.16 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 16, 76, 160, 268?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 157 - 3863?\nAnswer: -370a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g**2 + 6*g - 11. Let s = 1 + 9. Suppose 2*j - 9 = -4*c + 1, -4*j = 2*c + s. Let o(a) = 7*a**2 + 4*a - 7. Calculate c*z(y) - 8*o(y).\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19 and -11040648.\nAnswer: -11040648.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15\/7)*q*q**(1\/25))\/(q**(4\/31))**(-1\/12) assuming q is positive.\nAnswer: q**(-17774\/16275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from cphdddydhdcphhdpp.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, -56 in increasing order.\nAnswer: -56, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*a + 6, -5*l - 5*a = -9*a + 12. Suppose 0 = 5*w - l*w + 93200000. What is w rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Suppose z = -6*z + 35. Suppose m = -6*s + z + 19. Which is the nearest to 0.1? (a) s (b) 1\/3 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329 - -1668\/5. Let d = o + -26\/5. Let p = 0.5 + 1.5. What is the nearest to p in 5, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 + 12*i + 1. Let a be q(8). Suppose a = 11*v + 26*v. Solve -11*r - 8 = -v*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/3)\/(x*(x\/x**(-2))\/x*x)*(x\/x**(-2\/7))**(1\/4) assuming x is positive.\nAnswer: x**(-197\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 124 = w - 146, 5*w - 1305 = 5*m. Calculate the highest common factor of w and 352.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15757?\nAnswer: 7, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22031223 - -112?\nAnswer: -22031111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648.0307 litres to millilitres.\nAnswer: 648030.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 + 88*q**4\/3 + 1252*q**3\/3 - 2976*q**2 - 2160*q = 0 for q.\nAnswer: -10, -2\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*u + 1)*(3*u**3 + 4 - 4).\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0 - 3*d - 3 + 4*d. Let h be (-9)\/12 - 243\/(-36). Suppose 6 + h = -4*g. Give n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11\/((-1029)\/(-171) + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*(s\/(s\/(s\/(s**16*s))))\/s*s**(1\/24)\/s*s**(-2\/51)*s**(-7) assuming s is positive.\nAnswer: s**(-9383\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106.00000047 + -106. Round t to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 278735\/30 - (-8 + (-392)\/(-48)). Calculate the greatest common divisor of l and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23891 and 6826?\nAnswer: 47782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(210) - -1*sqrt(210)))\/(sqrt(20)\/(sqrt(4) + 2*sqrt(4))))\/(sqrt(6) + -2*sqrt(600) - -3*sqrt(6)*-1))**2.\nAnswer: 567\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2677 is divided by 60.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)*-1 + 4. Let f be 12335\/1035 + 2\/r. Let m = f + -131\/23. What is the common denominator of -22 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 77555, -18.2?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 19*h = -1388. Suppose -3*s = -2*b - h, 2*b - 294 - 182 = -2*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from mmyyczyycmmmmyc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.07, 7 in ascending order.\nAnswer: -0.5, 0.07, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1*(-2)\/(-838)). Let o = -179 - h. Suppose 4*w = o + 40. Calculate the greatest common factor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459.207us to seconds.\nAnswer: 0.000459207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 4*n**3\/3 + 43. Let p(g) = -2*g**2. Give a(p(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 - 166. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 957, 1430?\nAnswer: 1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:20 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - c. Let d be p(-1). Let b = 2 - d. Is b not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.5 - 14. Let y = b - 34. Let t = y + -3. What is t rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2435 + 2483. Calculate the highest common divisor of j and 936.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -17*h**3\/6 + 75*h**2 - 224*h. What is the derivative of g(w) wrt w?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 58*l**2 - 232*l + 10200. Give u(59).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 - 5*z - 4. Let w be b(4). Suppose 5*n - w = -3. Let x(g) = 21*g. Let m be x(n). What is the highest common divisor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 2*k**5 + 4*k**5 + (3 - k**2 - 3)*(-3*k**3 - k**3 + 3*k**3) + 3*k**5 + 3*k**2 - 3*k**2 + (-3*k**4 + 4*k**4 - 2*k**4)*(-141 + 141 + 18*k).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 2b136?\nAnswer: -2b146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-4)*((-17982)\/252)\/333*(-4)\/(-18)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 7*m + 18*m)*(-2 - 1 + 4) + m - 3*m + m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.081, 1, -4\/7, 4\/3 in descending order.\nAnswer: 4\/3, 1, -0.081, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 5*z**2 - 5*z - 1. Let k be u(4). Let j = 5 + k. Let r = 10 + j. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9384799 and -1.5?\nAnswer: 14077198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3595846?\nAnswer: 2, 1123, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-4070)\/(-35) + 16\/(-7) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 46610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11662.19 + -11662. Which is greater: 2\/9 or j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 14. Let s(k) = -5*k - 6. Let c(t) = -t - 1. Let q(w) = -6*c(w) + s(w). Give l(q(x)).\nAnswer: -5*x - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o - 17. Let y(c) = -10*c + 4. Let i be y(3). Let g be -1*((-2)\/(-4) + (-1503)\/18). Let w(h) = -h + g + 93 - 180. Give i*w(k) + 6*d(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 423 and 14946.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 1:52 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/11)\/q*(((q*q\/q**(-5)*q)\/q*q*q)\/q)\/q*q)\/((q**(-2\/11)*q*q)\/q*q*q\/(q\/q**(3\/4))))\/((q**(1\/4))**(-19)\/(q**4\/(q**2*q))) assuming q is positive.\nAnswer: q**(114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.77 - 3.77. Let z = -53 - -368\/7. Which is the nearest to h? (a) 5 (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**6)\/j**(-30) assuming j is positive.\nAnswer: j**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*l + 2*r, 4*l - 7*r + 24 = -31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 17*g**2. Let j be (83 - 80)*(-8)\/(-6). Let w(l) = 5*l. Let r(m) = -2 - m + 2. Let f(i) = j*r(i) + w(i). Give s(f(p)).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238229 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(1331) - sqrt(1331))**2 - sqrt(1331)) + ((sqrt(1331) - (1 + sqrt(1331) + sqrt(1331)))*5 + sqrt(1331))**2 + -5.\nAnswer: 451*sqrt(11) + 21315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -249*s - 999. Let r be t(-8). Solve 980*g + 65 = r*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*16674\/1191?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 divided by 131?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24798715 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: Expand -64*k**2 - 34*k**3 + 64*k**2 + (1 - 1 + k)*(-1 - k**2 + 1) + (4*k**3 + 421*k**2 - 421*k**2)*(1 - 2 + 2).\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892987?\nAnswer: 283, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2*n**3\/3 + 6*n**2 + 18*n + 23. Determine y so that t(y) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 26\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3057189 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: b\"What is the tth term of 28, 48, 66, 82, 96, 108?\n\"Answer: -t**2 + 23*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18736255 is divided by 704?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1162 (base 9) to base 6\nAnswer: -4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120300314 (base 5) in base 14?\nAnswer: 106a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v - 1\/8*v**4 + 0*v**3 + 11\/60*v**5 + 7*v**2 + 0. Find the second derivative of r(l) wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((-27)\/(-744)*92\/(-69)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38 + (19 - 21 - (-1 + -3)). Suppose s + 37 = x. Solve 0 = -2*v - v - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 + 4*m + 3. Let s be k(-3). Let q be -1 + (3 - s) + 1. Let d be (-2)\/(-4)*(-2)\/q. Which is the closest to d? (a) -2 (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 9 + (3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3217*a = -3230*a + 78 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6951 + 34771\/5. Let u(n) be the first derivative of f*n**5 + 0*n**3 + 0*n**4 + 0*n + 13\/2*n**2 + 11. Find the second derivative of u(t) wrt t.\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 84 = 18*o. Solve -5*l - o = i, -2*l - 3*l + 2*i - 18 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 10*g + 6. Suppose 2*f + 1 = -15. What is the units digit of h(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a**2 + 50*a + 3. Let h be s(5). Let f be 2 + 2 + -5 + 7. Let u be 2 + (-4 - f\/(-3)). Solve -5*i = -u*m + m + 20, -4*i = -h*m + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n - 41. Suppose 21*v + 174 = 23*v. Suppose -14*i + v = -53. Is l(i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1326 greater than -1325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) + (sqrt(5) - (-1 + sqrt(405))) - (sqrt(5) + -1 + sqrt(5) + -4*sqrt(5))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3266 and 2990?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 3438065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x = 13*x + 900. What is the smallest common multiple of x and 111?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130410 by 42.\nAnswer: 3105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/11 + 45704*z**2\/11 + 91416*z\/11.\nAnswer: -2*z*(z - 22854)*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 10\/8753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -2 (c) 474 (d) 827 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3))\/(((-20)\/(-6))\/5). Suppose d - 5*h + 120 = -h, -x*d - 2*h - 260 = 0. Let k = 182 + d. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 43*i**7\/42 + i**4\/4 + 4*i**3\/3 - 82*i. What is the third derivative of v(h) wrt h?\nAnswer: 2580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 f, and 1 s when four letters picked without replacement from svvffvfggfv.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/28)\/((-17)\/(-204))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025062 rounded to seven decimal places?\nAnswer: -0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 169?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 280\/17, 0.006, 11\/2, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2653 less than -2651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:13 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5359?\nAnswer: 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*p*u - a**4 - 312*a**3*u + 49*a**2*p*u - 2*a**2*p - p*u wrt a.\nAnswer: 24*a*p*u - 24*a - 1872*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3 + 21*f**2 + 147*f + 3. Find r, given that h(r) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -704\/413?\nAnswer: -704\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 2*x - 1. Let w be c(2). Let i(b) = 1 + 0 + w - 3*b. Determine i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) - 4\/6. Let g = -3 + 11. Let q = 8 - g. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*n = 12, h - n + 1 = -20. Sort h, -4, -3 in descending order.\nAnswer: -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596270047.\nAnswer: 19, 84014213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:49 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3\/6 - u**2 - 3*u\/2 - 14. Let i(z) = 0. What is z?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 38*p. Let z(u) be the second derivative of -u**3\/2 + u + 8. What is z(b(i))?\nAnswer: -114*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18662 and 16838456?\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16290 divided by -3\nAnswer: -5430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 11 + 3. Let r = -0.526 - -0.026. Which is the nearest to 0? (a) 4 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.81746639\nAnswer: -0.245239917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6438638l to millilitres.\nAnswer: 643.8638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55911748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 273001 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 26 = 6. Let o(n) = -9*n**2 - 10 + 0*n + n + n**3 + 5*n + u. Calculate o(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 0*c = -191 - 371 + 100 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 + (-36 - (9 - 50)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/782? (a) -1\/3 (b) 5 (c) -6023 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - i, 5*r = -4*i - 10 + 29. What is the tens digit of r\/(-2*(-4)\/336)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:42 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a minute in seconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.6426 + 26180\nAnswer: 26181.6426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(11)*-1)*-6 + (sqrt(66)*-2)\/sqrt(6) + sqrt(33)\/(sqrt(12)\/sqrt(4)).\nAnswer: -30 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321164592*t**3 + 1781572*t**2 + 2*t - 10.\nAnswer: 1926987552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/16)\/((-6)\/(-8))*195. Let t = y + -52. What is the greatest common factor of 52 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/315*39704\/68064?\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2205896 and 36421.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (1 + 31 - (-3 + 3 - 5)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*t**2 - 35*t**2 - 2*t**2 + (4*t - 3*t - 2*t)*(-1 - t + 1) + (-3 - 1 + t**2 + 2)*(-2 + 7 + 1) + (2 - 4 + 3)*(-t + t + t**2).\nAnswer: -63*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559707671 to the nearest integer?\nAnswer: 23658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 437*k + 296*k - 436*k - 3 as g*k + b and give g.\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 560 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryg when three letters picked without replacement from {g: 2, y: 2, r: 4, p: 1, i: 4, q: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i - 42. Let y be z(-8). Let r(v) = v**2. Let b(l) = 4*l**2. Calculate y*r(t) + b(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5692 times -120\nAnswer: -683040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 4*x**2 + 6*x**2 + (0*x + 2*x + x)*(26*x + 63*x - 186*x) in the form y*x**2 + d*x + p and give y.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2656 and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68, 9829, 19590, 29351, 39112, 48873?\n\"Answer: 9761*s - 9693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 17*d + 1)*(3*d**2 + 0*d + 0*d) + (d**3 + d**3 + d**3)*(1 - 6 - 1).\nAnswer: -69*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 + 32 = 4*y + r, 5*r = -y + 32. Suppose -d - 93 = w + w, w = d - y. Is (-702)\/w*(-20)\/(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862604127.\nAnswer: 3, 7, 11, 414913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 2 s when four letters picked without replacement from {s: 4, p: 10, w: 6}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3010651117144 + 0.5.\nAnswer: -3010651117143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4061, -8093, -12115, -16121, -20105?\nAnswer: -24061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-3)\/1*-1. What is the remainder when 34 is divided by 11 + (-1 - 4)\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -33*u + 135. Calculate m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/15)*x)\/x**6*x\/((x*x**4*x)\/x)*x*x**3)\/(x**(-7)*x**1)**22 assuming x is positive.\nAnswer: x**(1907\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - 0) + -1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699329 is divided by 348125.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*m**4 - 12\/5 - 7\/5*m**2 - 2\/5*m**3 + 4*m.\nAnswer: (m - 2)**2*(m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -11. Which is the smallest value? (a) y (b) -0.5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 36?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16407*i - 246098. Calculate r(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-6))*j*j\/(j\/j**0))\/(j**(2\/13)*j*(j**(-3\/8)*j)\/j)*(j**(1\/2)\/(j**(2\/5)*j))\/(j\/(j*j\/(j*j**(2\/13)*j))*((j*j**6*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-7193\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298592 is divided by 596.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p - 276 = -111 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5404977800 and -2?\nAnswer: 5404977798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d - 45. Let o be ((-400)\/280)\/(4\/14). Calculate w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4.3, -1\/4, -3.2, 2\/9, -27\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/12 - 59*m\/6 - 3481\/12 = 0. Calculate m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:10 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101696 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a + 2*a + a)*(a**3 + 32*a - 160*a - 6*a**2 + 4 + 129*a) in the form y*a**3 + n + x*a**2 + k*a + r*a**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b + 34. Let m be a(7). Let x = -108 + m. What is the remainder when 43 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 - -89a?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j - 4*j. Suppose 0 = -5*z + 5*b + 5, j = -3*z + 7*z - 5*b - 3. Solve -s = -2*k + 4, 0 = 3*s - z*k - k + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -6148 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/47 - -139\/564. Let q = -7\/6 + g. Calculate the common denominator of ((-568)\/(-28))\/((-40)\/(-14)) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = s - 2, l - 14 = -0*l + 5*s. Suppose 2*a - 10 = -0*a + 2*p, 5*a + 3*p = 33. Let j = a + l. Sort 1, -0.1, j in descending order.\nAnswer: 1, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.01 + -8.9. Let r = z + -0.11. Let u = 14 + -14. Which is the biggest value? (a) r (b) -0.4 (c) 5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 38. Suppose r = -8*o - 30 + 102. Suppose o*k + 216 = 13*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175620 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-318)\/(-66) - 4\/(-22). Suppose 133 = l*u - 187. Suppose 30*k + 12*k = 840. Calculate the least common multiple of u and k.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 14) in base 8?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 442300 (base 7) in base 10?\nAnswer: 77665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 + 8 + (11 - 0). Let c be (-47)\/4 - 3\/12. Let j = c + f. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + 7 + 1 + (-2 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40017209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201329 is divided by 33554.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223 + -27. Let o = t + 250.26. What is o rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/54 and 61\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2746392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(4*-5)*(-24)\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5829*y - 2834*y - 2823*y to the form d + a*y and give a.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**7\/1260 - y**6\/180 + y**5\/60 - y**4\/36 + 2*y**3\/3 - 2. Let h(w) be the third derivative of l(w). Factor h(t).\nAnswer: 2*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, t: 4}. What is prob of sequence ttzz?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 6*b - 4. Let u be p(4). Suppose 2*q - j - 14 = -0*q, -q + u*j = -7. Calculate the remainder when 25 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1)\/((-29)\/(-87)). What is the derivative of -13 - 157*c**4 + 2*c**3 - 2*c**3 - b*c**4 - 1 wrt c?\nAnswer: -664*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(0 + 0). Let f be 12\/(-27)*((-27)\/(-26))\/(-3). What is the closest to 1\/6 in 3\/7, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*1)**2 + 2.\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((84\/8)\/(153\/204) - -289)\/3.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/261)\/(16\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1254\/(-1881))\/(((-1)\/4)\/(6\/(-16))). Sort -81, q, 20 in descending order.\nAnswer: 20, q, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 31350930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*t - 9 = 0, a = -6*t + 4*t - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 830532*s**2 + 517339213328*s + 6208030694464\/3.\nAnswer: (s + 4)*(s + 1245796)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-8))\/((-15)\/(-20)). Let w(a) = -4*a - 43. Let p be w(-12). Sort t, p, -1.\nAnswer: t, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:32 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 325376071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, n: 1, g: 4, l: 1, i: 4, e: 2}. What is prob of sequence pl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -28. Suppose -4*d + t*d - 30 = 0. Suppose d*z + 20 = 2*z. Put z, 1, 2 in descending order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038864247 rounded to four decimal places?\nAnswer: 0.0389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/(49059\/46) + (-5)\/27*76?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 less than -122\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1053) + -3)*-3*-1 + ((sqrt(1053) + 0)*3 - sqrt(1053) - (-3 + sqrt(1053) + -1))))**2.\nAnswer: -5760*sqrt(13) + 269968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3 - z**2 - 3. Let c(l) = 280*l**2 - 42*l - 924. Let q(f) = 33*f**2 - 5*f - 110. Let p(s) = -10*c(s) + 84*q(s). What is d(p(j))?\nAnswer: -784*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.04882 to 2 decimal places.\nAnswer: 4.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x. Let q(h) = -8*h + 52. Let z(o) = -2*k(o) + q(o). Let g be z(3). Let b(l) = l - 4. Determine b(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - (-7)\/(14\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-286)\/(-26) - (-18)\/(-2). Let x be 4*(2 + (-2)\/(-4)). Calculate the highest common divisor of i and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4\/4 - 13*d**3\/3 - 7*d**2 + 4*d - 1. Let r be g(-12). Suppose r = 2*t + 2*t. Do t and 7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.008 - -1.408. What is the closest to -5\/3 in -3, 14, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**3 - 35*h**3 - 11*h**3)*(2*h**2 + 0 + 0).\nAnswer: -74*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2800 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -34. What are the prime factors of -5*(1 - (-27)\/w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 39.2. Let n = 7.1 + -0.1. Which is smaller: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70896 = 62*u - 78*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2685)\/(-2))\/(12\/24) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9857 = 18*h + 19897. Let v = 2368 + h. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 12*n - 4. Let c(q) = -2*q**2 - 11*q - 3. Let t(d) = 6*c(d) - 5*h(d). Let x(r) = -3*r**2 + 82*r + 1676. Let k be x(41). Calculate t(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/5 + 56\/(-35)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7776076, 15552151, 23328226, 31104301?\nAnswer: 38880376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:46 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-12)\/(-3))*-1. Let s = 22 - 26. Let t = -0.1354 + 0.2354. Which is the nearest to t? (a) s (b) r (c) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*g**2 - 17*g + 17*g)*(10 - 151 + 53)*(-g**2 - 3*g + 3*g) to z*g + u*g**3 + l + j*g**4 + n*g**2 and give j.\nAnswer: -7568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in 2\/9, -0.5, 3, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*w + 10, -124*w + 4*k - 2 = -122*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*s**2 - 386?\nAnswer: 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f - 103. Let d(q) = -2*q + 3. Let a(z) = 7*z - 32. Let t(j) = a(j) + 2*d(j). Determine -2*b(x) + 9*t(x).\nAnswer: x - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50665 is divided by 7431?\nAnswer: 6079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-18)*(-1980)\/880\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6 - 2142?\nAnswer: -2161.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)*f**20*f assuming f is positive.\nAnswer: f**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*y = -8, -2*p + 10 = -4*y - 2. Suppose -o = -15*b + 10*b, -p*b = -5*o. Factor 4\/3*v + 2*v**2 + 2\/3*v**3 + o.\nAnswer: 2*v*(v + 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3433021793.\nAnswer: 3433021793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*r + 10000 = 0, -2*a + 4*r = 2*a + 39984. Let g = a + 269884\/27. What is the common denominator of -13\/11 and g?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127847130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1102 or -1099?\nAnswer: -1099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -169802\nAnswer: 19\/169802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 40 = 9*c + 5*b, 2*c = -5*b - 2. Let f be 0\/(2\/(c - -4)). Suppose 12*w + 2*w - 2324 = f. List the prime factors of w.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*p - 637 = 0. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -440729 smaller than -440729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*d + 165*d + 176*d - 84*d in the form f*d + c and give f.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.22? (a) -0.08 (b) 1\/2 (c) 2.1 (d) -2528\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 27*r + 1145. Give o(-42).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7830?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 203.3, 5, 1\/95 in increasing order.\nAnswer: 1\/95, 5, 203.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22254\/8 + (-41)\/(-164)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30369 and 11289.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439 - 148 - 146 + 30*t - 145.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 3*sqrt(245)) - (-5 + -4 + (3*sqrt(245))**2).\nAnswer: -2208 - 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4547423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 18. Let l be h(-9). Let d be 2 + (-13)\/((-26)\/5904). Suppose l = i + d + 2646. Round i to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -64 and -6554.83.\nAnswer: -6618.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c - 2*c - 3 + 3*c to n*c + i and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -15*o**9\/7 + 387*o**5\/20 - o**3\/3 + o**2 + 232*o. What is the third derivative of u(s) wrt s?\nAnswer: -129600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 11 = a. Suppose 4 - 1 = n + a*t, 3*n - 29 = 5*t. Find the third derivative of -26*y**3 - n*y**2 - 6 + 33*y**3 + 6 wrt y.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4 = -2*f, -3*p = -6*p - 3*f + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oogoagoog. Give prob of picking 3 g and 1 a.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -349*d - 3593. Determine x(-10).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -47, -113, -215, -359, -551, -797?\n\"Answer: -j**3 - 9*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -20*b**6\/3 + 13*b**3 + 36. Find the third derivative of l(g) wrt g.\nAnswer: -2400*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2\/4 + 18855*j + 43263483 = 0. What is j?\nAnswer: -22586, -2554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 1193 - 3775*q + 1891*q + 1884*q to x + d*q**2 + s*q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -217*l - 105. Give c(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2837262 - -62530791\/22. Let v = w - 5048. Find the common denominator of v and 137\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from gugddpggggudgggg?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/11 - 310668*k\/11 + 24128651556\/11.\nAnswer: (k - 155334)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l**3 - 65*l**2 + 55*l + 34. Calculate m(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 721195 from 0.1368.\nAnswer: -721194.8632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/438*(-20)\/(-25)*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-12)\/(-16)*333888\/(-72) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18 + 9 + 19\/114*142.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 20 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 5 = -6*r. Solve -r*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5096977 is divided by 2147?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 122\/3*2\/((-10)\/(-15)). Let f = i + -120. Which is greater: 9\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/11, -14, -114, 2\/41.\nAnswer: -114, -14, -2\/11, 2\/41, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3484 and 26413946.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Let y(v) = 87566*v**2. Calculate c(y(r)).\nAnswer: 262698*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136*g**3 + 235*g**3 + 374*g**3)*(-4 + 0*g + 2*g - g).\nAnswer: 473*g**4 - 1892*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*3\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 84*b**2 + 9249*b - 747. Determine c(-63).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226647.3 centuries to years.\nAnswer: 22664730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 301?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 - 1024*b**4 - 177408*b**3 - 10838016*b**2 - 75866112*b.\nAnswer: -2*b*(b + 8)*(b + 168)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/39)\/(2\/(-24)*-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 11:28 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.89566 nanoseconds to seconds.\nAnswer: 0.00000005889566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5323398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7723 - -72?\nAnswer: 7795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 12 = 5*r, 140*r = 134*r - 5*t - 30 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 12 = 0. Solve 4*u - b = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-11)\/(v*v*v\/(v*v\/(((v\/(v*v**(1\/7)*v))\/v)\/v))) assuming v is positive.\nAnswer: v**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4*o - 1)*(0 - 6*o**2 + 0) - 3*o**3 + 0*o**2 + 0*o**2 - 3*o**3 - o**3 + 3*o**3)*(4 - 1 + 0)*(0 + 0 - 1).\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*q + 1105296 = 1105044 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176289 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + d**2 + 3*d + 1. Let a(z) = 2*z - 8. Let c be a(7). Suppose -20 = 4*u + 12. Let h = c + u. Calculate q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/(-280))\/11*(-1256)\/(-2826)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -276 * 34.\nAnswer: -9384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 22*i**2 + 0*i**2 - i**2.\nAnswer: 21*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8615 + 8622 - 3*f**3 - 30377 - 46*f**3 + 13140.\nAnswer: -49*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/((5 - -1) + -5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 0.3. Let j(x) = x. Let q be j(-1). Let s be 3*((-8)\/(-6) + -1). Which is the closest to r? (a) s (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -91\/470?\nAnswer: -91\/470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*l = 196, 5*t - 3*l + 6*l - 261 = 0. Let o(u) = -u**3 + 9*u**2 + u + 4. Calculate the remainder when t is divided by o(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50154763 + 7?\nAnswer: -50154754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwbtw. What is prob of picking 1 b and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*i + 25 + 75, -5*i + 174 = 2*m. What is the remainder when 744 is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9371900 + 5.\nAnswer: 9371905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-3 + 6 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4\/12023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 4*g. Let o(j) = -j**3 + j**2 + 3*j. Let q = 662 + -666. Calculate q*o(d) + 3*u(d).\nAnswer: 4*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5612 and 2944?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 59 = 3*c, -2*c - 3*c - 4*a = 1 - 64 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 136, -12, -208, -452, -744?\n\"Answer: -24*s**2 - 76*s + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 1880 = 19*c. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 5*z - 33, -5*z + 105 = -5*l. Let r = l - -27. Suppose a - 29 = -3*j + r, -3*a = 3*j - 120. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 17340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3126 + 3125.8. Which is the nearest to 1? (a) -5 (b) 0 (c) x (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 3. Let r(a) = -544 - a + 1614 - 532 - 536 + a**2. Give 2*c(b) - 3*r(b).\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 631, 4559, 15095, 35545, 69215, 119411?\n\"Answer: 551*y**3 - 2*y**2 + 77*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - w + 5*w + (-2*w + 1 - 1)*(0 - 2 + 0) - w + 4*w - w - 21*w + 24 - 24 + 4*w - 2*w - 3*w + (-6*w + 3*w + w)*(-1 + 0 + 3) - 7 + 7 - 2*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Let j be 35\/(-11) + (6 - (-4 + 6)). Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (7 - 9 - (0 - 5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 2*f + 2*f - 2)*(5*f - 3*f + 6*f) as v*f**2 + j + d*f and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/2)\/(9840\/(-6560)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4037, -4036, -4035, -4034, -4033, -4032?\nAnswer: -4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -181*p + 35278. Determine k(208).\nAnswer: -2370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 3*l)*(2*l**3 - 2 + 2) - 4 + 4 + l**4 - 3*l**3 + 3*l**3 + 5*l**4.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*m**2 - 4*m**2 + 6*m**2)*(-86*m + 191*m - 229*m) to the form g + w*m**3 + r*m**2 + j*m and give w.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 6820?\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -5.44.\nAnswer: -0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**4\/12 + i**3\/2 - i**2\/2 - 113*i. Calculate q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35652126 (base 7) in base 9?\nAnswer: -5864733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*r + 6*o - 47, -4*r = -4*o + 40. Let b = r + 7. What are the prime factors of 6*2\/(-2)*b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 8*u - 5. Let d be i(9). Solve m + 4*m + 3*o - 25 = 0, o + 20 = d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + 5208a9?\nAnswer: 5208b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 + 2*q**3 + 4*q**3)*(0*q**2 - q**2 + 3*q**2) + 0 + 2*q**5 + 0 - 113*q**5 - 508*q**5 - 218*q**5.\nAnswer: -835*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 492 and 1965\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -532.279017 to one dp.\nAnswer: -532.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:18 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 125 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 44*y**2 + 482*y + 306. Determine p(-53).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 31*z**3 + 15*z**3 - 2*z**4 + 14*z**3 - 2*z to the form h + g*z**3 + w*z + d*z**2 + b*z**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 438.4387 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22114 (base 5) in base 11?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1646, -1932, -2374, -3050, -4038, -5416, -7262, -9654?\n\"Answer: -13*p**3 - 195*p - 1438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-13 - -32) - 8 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**5\/30 + q**3\/6 - 3*q**2\/2 - q - 51. Let w(g) be the second derivative of x(g). What is w(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100001110011 + -11?\nAnswer: -1011100001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 - 34*z**2 + 806*z + 140. Calculate v(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 5*h + 8. Let y be z(-2). Suppose y*w = 14*w - 13512. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133.3785 + 135.7. Let c = 2.35 - x. Round c to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 14*l**3 - 10*l**3 + l**3 - 4*l**3.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*h**4 - 513*h + 507*h + 592 - 595 - h**3 in the form j + o*h**4 + t*h**2 + b*h + i*h**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 1:15 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttsxsjm. What is prob of sequence mj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (69 + -16 - 31).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 13*i - 16. Let s be v(11). Let c = -2 + s. Let d(t) = -11*t**2 + 6 + 15*t**2 - 12*t + 713*t**3 - 714*t**3 + 10*t. What is d(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = -10*d - 60480. Suppose 5*m + 1019 = 3*r - 1573, 0 = -2*r - 3*m + d. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 11842 = a - 3*a, -3*a - 29603 = -5*q. What is the greatest common factor of q and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8683044 + 8683049.6000105. Let j = r + -5.6. What is j rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*c = -13, 2*m + m - c - 9 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4) + 3\/(-6). Suppose -2*g = 4*s - 22, 29 - 9 = g + 5*s. Suppose -2*c + 2*w = -c - 12, 0 = -g*c - 4*w - 10. Is c greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4 - 4. What is the common denominator of -95\/4 and a + 12\/(-208)*-38?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78672 and 18.\nAnswer: 236016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142.9 + -189. Let b = q + 44. Let r = -2 - b. Which is smaller: -1\/11 or r?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10556 and 25781.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 3*l + 5*l, l = -2*a - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 4*a**2 - 4*a + 2. What is c(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14674*h + 3784 = -14631*h for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2132, 2037, 1942, 1847?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -14*u**4 + 18*u**3 + 10*u**2 - 16*u + 4. Let n(s) = 42*s**4 - 55*s**3 - 29*s**2 + 48*s - 13. Let x(o) = -7*h(o) - 2*n(o). Factor x(i).\nAnswer: 2*(i - 1)**2*(i + 1)*(7*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (33\/((-165)\/(-530)))\/(2*1\/501).\nAnswer: 3, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 300114448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = 2*n - 1, -5*v + 5 = 2*n. Suppose 5*s - 3*y = -n*y + 284, -4*s + 232 = -4*y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 1 + (-20 - -22). Let i be 4*m*(27\/15 + -2). Factor 49 + 2*l + 48*l - i*l**3 + 13*l + 15*l**2 + 5*l**3.\nAnswer: (l + 1)*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g - 176. Let x(f) = 5*f + 90. Determine 6*w(z) + 11*x(z).\nAnswer: -5*z - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**24\/j)\/j*j*j)\/((j\/((j\/(j\/(j*j\/(j\/(j\/((((j**28\/j)\/j)\/j)\/j)*j)))))\/j))\/j))**(-1) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.03, 5, -79, -7 in ascending order.\nAnswer: -79, -7, -5, -0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + sqrt(475) + 0 + -3 + sqrt(475)*2 + sqrt(475) + 1)**2.\nAnswer: -100*sqrt(19) + 11879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13147*y + 696939 + 53873 + 287801 = 0 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 139097.3203 to the nearest ten.\nAnswer: 139100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 + -3 + -6 + 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504614 by -1.\nAnswer: -504614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 27*n**2. Let j(w) = -336*w**2 - 128*w. Let g(o) = -16*o**2 - 6*o. Let p(z) = -64*g(z) + 3*j(z). What is u(p(y))?\nAnswer: 6912*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8755 + 0.8855915346?\nAnswer: 1.7610915346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 - 222*q**2 - 109*q + 71. Calculate i(-55).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 2145. Calculate the remainder when o is divided by (-2 - (-35)\/(-14))*-4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446.58 decades in millennia?\nAnswer: 74.4658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, 2\/11, -0.0419, 4, 2 in decreasing order.\nAnswer: 4, 2, 2\/11, -0.0419, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*1 - -1*sqrt(28))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6691842 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11 + 3*c - 4*c - 14. Let o be r(-5). Suppose o*k + 8 = 30. Sort 3, 2, k in descending order.\nAnswer: k, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*sqrt(847).\nAnswer: -198*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 1 + 12*j - 1\/6*j**3 + 0*j**6 - 1\/6*j**4 + 1\/42*j**7 + 13\/10*j**5 + 0*j**2. Find the third derivative of z(k) wrt k.\nAnswer: 60*k**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 19*w**2. Let o(z) = 90*z**2 + 107*z**2 - 204*z**2. Determine o(k(u)).\nAnswer: -2527*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - -33. Suppose -3*p = 2*r - s, 4*p = -0*r - 5*r + 170. List the prime factors of (-16)\/(-6)*p\/20.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-6))\/((-1)\/(-1)). Let q = 22.661 - 7.661. Which is the second smallest value? (a) 5 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -19 - 15) + 23 - (0 + 22).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5898456 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 462\/56 - 3\/(-12)*-1. Let v = 125543\/12 - 10455. What is the common denominator of m\/(-68) + 12831\/(-1190) and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 8903\/127?\nAnswer: 8903\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/18023516 and 11\/10299152.\nAnswer: 72094064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4001.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*i - 5*i**2 + 3 + 163*i)*(0*i + 6*i + 2*i).\nAnswer: -40*i**3 + 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -20.8. What is the third biggest value in o, 4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313864 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*s**2 - 41*c**2 + 4*c*s - 10*s**2 + 2 wrt c?\nAnswer: -12*c*s**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6690 and 3\/16?\nAnswer: 53520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -906, -2770, -5880, -10230, -15814, -22626, -30660?\n\"Answer: o**3 - 629*o**2 + 16*o - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, 0.23, 5, 2?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8*b - 25. Let y be (-10)\/b*(-4)\/16. Are y and 38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655344 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 14*o + 9. Suppose 5*n + 4*p + 49 = 0, -49 + 7 = 5*n - 3*p. Let j be t(n). Suppose 0 = d - 2*d + j. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 2*w**3\/3 + 5*w**2 + 228*w. What is f(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (1 + (-6 - (-11 + 2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168930 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 736*m - 76 + 132 in the form n + d*m and give d.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t. Let s(m) be the second derivative of 0 + 0*m**2 + 1\/12*m**4 - 5*m + 0*m**3. Calculate j(s(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52.02 * 8.\nAnswer: 416.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 1232452042?\nAnswer: -1232452041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipiuizluzlluiiiil. Give prob of picking 1 i and 1 p.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*h + 19*h - h)*((2 + 0 - 1)*(-2 + 1 + 0) + (-1 - 1 + 1)*(2 + 0 + 0)) in the form p + o*h and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -731\nAnswer: 45\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23171975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c + c + (-6 + 6 + 23)*(-c - c + 11*c + (0 + 2 - 3)*(-2*c + 6*c - 3*c)).\nAnswer: 186*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 3*b**2 - 15 - 7 - 83*b - 18 as n*b**2 + s + i*b and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7\/4 (b) -0.1 (c) -2 (d) 0.1 (e) 10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heyogghqo. What is prob of picking 2 g, 1 q, and 1 y?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -250c (base 16) in base 13?\nAnswer: -4417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/1272 and -19\/2544.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -32100?\nAnswer: -32102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, -9, 5, 3, -5 in decreasing order.\nAnswer: 744, 5, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2747\/4 + 691. Let d be (-318)\/(-22) + 3 + 2. Let z = d + -3207\/110. Find the common denominator of z and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57944 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 7. Suppose -3*q + 3*h + 6 = 0, -q = -4*h - h + 18. Determine n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.93 + 3.8. Let o = -0.17 + n. Let g = o - 0.4. Which is the smallest value? (a) g (b) 3 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 1. Let y be x(1). Suppose 0 = y*c + 5*t - 171, -2*t + 137 = -c + 4*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3150 = -0*a. Let l = a + -903. Suppose z - 125 = l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**7\/42 - 3*u**5\/20 + 10*u**2. Find the third derivative of g(n) wrt n.\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -3, 51\/8 in decreasing order.\nAnswer: 51\/8, 0.3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = s - 4*h - 31, -2*h + 1193 = 3*s. List the prime factors of s.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14282630 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 21 + 11 = 2*p, -35*j + 175 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + 10. Calculate the remainder when 97 is divided by n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*n = -0*n - 19, -4*n = -2*i - 16. Let s be 2*-1*(-5)\/i. Let b = -3 + 4. Solve -b = -s*y + 4*y, 0 = l + 3*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1355 - -5766. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -329 and -4.0343.\nAnswer: -333.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 201434 (base 8) in base 10?\nAnswer: 66332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 40 = -60. Suppose 4*d - 9*d = i. What is the tens digit of 1165\/25 - 2\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2153*-0.03\nAnswer: 0.006459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5511 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 85. What is the greatest common factor of g and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1082712 minus -0.1?\nAnswer: 0.2082712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 10*g**2 - 15*g - 7. What is l(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -2\/15, -1, 24, -0.1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5343835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424270 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:40 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -393, -1572, -3537, -6288, -9825?\nAnswer: -14148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -107.6. Which is the closest to -1? (a) s (b) 2\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17550260.729 + -31.\nAnswer: -17550291.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 5*g - 4. Let a be x(-4). Let w(i) be the second derivative of -1\/6*i**3 - 2*i - 3*i**2 + 1\/12*i**4 - 1\/20*i**5 + 0. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -86, 8, 2 in decreasing order.\nAnswer: 8, 5, 2, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8604 - 8?\nAnswer: -8613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -54384 divided by 264?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/7391 or -1?\nAnswer: -6\/7391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 + 16*x**2 - 6*x - 5. Let y(k) = -11*k**3 + 31*k**2 - 14*k - 11. Calculate 9*j(a) - 4*y(a).\nAnswer: -a**3 + 20*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -22*v**2 + 2 + 2*v + 41*v**2 - 22*v**2. Let l(i) = -5*i**2 + 5*i + 5. Let c(t) = 2*l(t) - 5*y(t). Let g(p) = -p. Determine g(c(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 1. Let v(h) = -16*h - 3. Let z(p) = -6*v(p) + 22*x(p). Let d(r) = r. Give d(z(c)).\nAnswer: 8*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 8127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 195*o**3\/2 + 24762*o**2 + 47811*o\/2 - 759 = 0.\nAnswer: -253, -1, 2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720064 and 2368?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/36 and -23\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4698)\/(-378) - (-6)\/(-14). Let b(c) = 15*c - 12. Let r be (-2)\/(10\/(-21)) + 1\/(-5). Let w(x) = r - x + 4 - 7. What is m*w(v) + b(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 40 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0*a**2 + 2*a**2 + (-a**2 + 5 - 5)*(3 + 0 - 1))*(-323*a**3 + 1462*a**3 - 168 + 168).\nAnswer: -1139*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 21. Suppose 0 = d*p - 44 - 14. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*b**3*g**2 + 12*a*b**3*g - 139*a*b**2*g*t - 2*a*b**2*g + 148175730*a*g**2*t + 2*a*t + 59*a - b**3*t - 2*b**2*g*t + 2*t wrt g.\nAnswer: 4*a*b**3 + 296351460*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 330976406 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 182.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/1*(0 - -1). Suppose 5*y - 8 - u = 0. Calculate the highest common factor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 3:44 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 2*j, 813*j + 2*f = 808*j + 15. Determine y, given that 24\/13*y**5 + 250\/13*y**4 - 28\/13*y**2 - 88\/13*y + 18\/13 + 304\/13*y**j = 0.\nAnswer: -9, -1, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40277323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a microgram in nanograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7250 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*t + 30 = 0, 0*l - l - t + 25 = 0. Solve -18*a = -l*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - l + 10, -2*l = -3*w - 7*l + 30. Suppose -5*k - y + w = 4*y, 0 = -k - 5*y + 2. Factor 7*a + 4*a + 3*a**k - 2*a + 12 + 6*a.\nAnswer: 3*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -1 + 5 + -9 + 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -16*r - 86. Let b(a) = -13*a - 70. Let g(m) = -5*b(m) + 4*u(m). Let t(f) = -7*f - 11. Determine g(t(w)).\nAnswer: -7*w - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(156) + sqrt(156) + -2*-2*sqrt(156))*1*5)\/(sqrt(144)\/(sqrt(12)*1) - (sqrt(12) - (sqrt(72)\/sqrt(2))\/sqrt(3))))**2.\nAnswer: 240*sqrt(13) + 11716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -453, -452, -441, -414, -365?\n\"Answer: k**3 - k**2 - 3*k - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 6. Let z(l) = 13*l - 11. Let d(n) = 23*n - 21. Let c(g) = 4*d(g) - 7*z(g). Let w be 9\/(-2) + 2\/(-4). Determine w*c(j) + 6*i(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 63.67352 days?\nAnswer: 5501392128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 5*y + 4. Let r be t(-5). Let l be 2\/(-2) - 4\/(-2). Let n = r + l. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -8, 37, 120, 253, 448, 717, 1072?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c53b (base 14) to base 12.\nAnswer: -35a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 25661 and 7743806.\nAnswer: 7769467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-56))\/(4\/15*(-360)\/432)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236.5 + -244. Let u = d - -6.644. Round u to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 + 10070.14.\nAnswer: 10072.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158.1312ml to litres.\nAnswer: 0.1581312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3369582.\nAnswer: 2, 3, 131, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 12, 1 - 7 = 46*y - 18*y - 17*y - 5*p + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2077\/140 + 291\/20. Let k(j) = -j**2 - 3*j - 2. Let r be k(-3). Which is the nearest to -4? (a) r (b) -0.06 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h - 13 + 13 + 2*h**4 + 2*h wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z + 7. Let r(f) = -10*f + 8. Let h(q) = 6*q**2 - q. Let j be h(1). Let v(d) = j*r(d) - 6*k(d). Let i(w) = 17*w - 9. Calculate -6*i(a) + 26*v(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let x = 58 - 58. Sort x, -1, l in increasing order.\nAnswer: -1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.2 - -20.275. Let a = -2.1 + b. Round a to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*f - 35 = 4*r, -5*r - 15 = 2*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147635146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**7\/70 - 7*g**6\/120 - g**5\/30 - 3*g**2 + 3. Let u(l) be the second derivative of m(l). Let u(b) = 0. Calculate b.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*0.14.\nAnswer: -8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678987 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + (-3 - (4 - 14)) + (-24 - -32).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51980303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090.5 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151349581 to the nearest integer?\nAnswer: 12302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952759792?\nAnswer: 2, 71, 73, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/9 + 49472*d**3\/9 - 3593378*d**2\/3 - 21708676*d\/9 - 10879072\/9 = 0. What is d?\nAnswer: -24952, -1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:44 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710 + -725 + (3 - -48).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 8*z**2 - 12. Does 15 divide l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 0*b**3 + b**3)*(-1 + 3 + 0)*(6 + 11 - 8) + (-2*b + 2*b**2 + 2*b)*(29 + 5*b - 29).\nAnswer: 46*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8458*h + 52. Let s(k) = 1691*k + 11. What is -4*q(f) + 19*s(f)?\nAnswer: -1703*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.1. Let z = -11\/218 - -1\/2180. Which is the biggest value? (a) -2\/11 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 61700 = 5*d + 4315, 4*d - 3*m - 45877 = 0. Let c be 2\/(-3) + (-229576)\/(-20). Let p = c - d. Calculate the common denominator of -73\/24 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/15 (b) -0.2 (c) 0.01 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*1\/2*-3. Suppose s*a + 10 = 4. List the prime factors of (-8)\/(-6) + a\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/5224 and 117\/410.\nAnswer: 1070920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -23\/6108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 4218.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102212031 + 21?\nAnswer: -102212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/(x**1\/x))*x)\/(x\/((x\/(((x\/(x*(x*x*x**3)\/x))\/x)\/x))\/x)))\/(x*(x*x**(-1)*x*x)\/x)**(2\/9))**(24\/5) assuming x is positive.\nAnswer: x**(328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**4*s**3 + 13407759*r**3*s**3 + 15*r**2*s**2 + 202642*r*s**3 wrt r.\nAnswer: -72*r*s**3 + 80446554*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1404 - -1110331?\nAnswer: 1103422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2636*v - 13712. Determine y(-5).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 39*n - 477. Let s be v(17). Solve -s*h + 175 = 63 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*((o\/o**(8\/3))\/o)\/o*o)\/o)**(37\/5)*(o**(2\/41))**(1\/26) assuming o is positive.\nAnswer: o**(-19718\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 17\/7 (c) 3 (d) -5\/2 (e) -16 (f) 400\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 106512.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-712)\/(-13350))\/(4\/30))\/((-14)\/(-40))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*t**2 - 622*t**2 + 41412 - 41412.\nAnswer: -1187*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110001 - -1011101?\nAnswer: 11011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 122390*d**2 - 3308315*d - 3430700 = 0.\nAnswer: -24505, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 - 78*a**4 + 660*a**3 - 2472*a**2 + 4224*a - 2688 = 0?\nAnswer: 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 5*x - 10, 0 = 4*u + 2*x - 59 + 61 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(176) + 1)**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1528\/3*q**3 - 2344*q**2 - 44*q**4 - 1452 - 9988\/3*q - 4\/3*q**5 = 0 for q.\nAnswer: -11, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, 49, -1\/2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -294 - -297. Find r such that 0 - 1\/5*r**4 + 1\/5*r**2 - 1\/5*r**u + 1\/5*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 254, 380, 508?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(117) - sqrt(117)*2*3))\/((sqrt(108)\/sqrt(600))\/sqrt(2)).\nAnswer: -250*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229366699?\nAnswer: 127, 1063, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 25, 5, -1\/11, 1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1037660\nAnswer: -5188300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -2125360\nAnswer: -1\/26567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (3 - -11 - (1 + 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 36 = -g. Let r be ((-56)\/20)\/((-2)\/5). Suppose -r*f + g = -3*f. Calculate the highest common divisor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 819, -3984 in decreasing order.\nAnswer: 819, 4, -3984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(11)) + sqrt(11) + (sqrt(396) + 0)**2 - (sqrt(2200)*3)\/(sqrt(22)\/(1*sqrt(11))).\nAnswer: -28*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-3298)\/(-408) - (9 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/((-4)\/26 - (-45)\/702*18). What is the nearest to 9 in 6, s, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10861*n + 10881*n + 240 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*d + 14, -4*d + 49 = -4*y + 41 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 - 7*x**4\/12 - 7*x**3\/6 - 3*x**2 - 2*x. Let s be w(8). Solve -3*m + s = -13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*k**2 - 8*k**2 + k**2 + 5*k + k**2 - 5*k - k**2 + 4*k**2 - k**2 + (2*k**2 - k**2 + k**2)*(-2 + 6 - 3) as g + x*k**2 + w*k and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-45)*3)\/((-110)\/3168*-16).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266606 = 3*p - 2*d + 266709, -4*p = 5*d + 145 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8101855\/297 + -27279. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 11\/3, 23, 52, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3086*u + 348753. What is p(113)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 253 - 162 - 128 - 2*m. Let l be x(-13). Solve l*n - 6 = -8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -8, 4 = 2*h - 2*l - 14. Solve -h = a - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1236*h + 1464*h**3 - 374*h + 755*h**3 - 327*h**3 - 363*h wrt h.\nAnswer: 11352*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33 - -25) + 682\/(-2). Let z = 1218 + p. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9050834, 9050833, 9050832, 9050831, 9050830, 9050829?\nAnswer: 9050828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73956690.\nAnswer: 2, 3, 5, 821741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f. Suppose 12*t + 67 = 175. Sort t, -2, f in descending order.\nAnswer: t, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(21\/5) + 0. Let t = 0.48 - -2.23. Let v = 7.71 - t. Sort -3\/4, 0.5, v, a in descending order.\nAnswer: v, a, 0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2204677.9 to the nearest one thousand.\nAnswer: -2205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333\/5 + 66. What is the biggest value in 8, z, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*a**3 + 146*a**2 wrt a.\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564 by -19.\nAnswer: -564\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*j. What is the second derivative of -5*p**j + p**2 - 17*p + 21*p**2 wrt p?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiir when four letters picked without replacement from {i: 5, l: 1, f: 6, r: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 698 + -302. Let b = p + -395.999634. Round b to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*18\/240 - (-6)\/16. Let b(w) be the third derivative of 2*w**2 - 4\/3*w**3 + 0*w - 1\/12*w**4 + a. What is the derivative of b(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8253*g - 330115. Give x(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570, 1098, 1646, 2220, 2826, 3470, 4158?\nAnswer: 4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480623891 to the power of 1\/2, to the nearest integer?\nAnswer: 38479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11960, -1845, -15650?\n\"Answer: -13805*b + 25765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -699 divided by 7329?\nAnswer: -233\/2443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18)\/v*v*v\/(v**14\/v*v)*((v\/((v\/v**(2\/19))\/v))\/v)\/((v\/(v\/(v\/v**3)))\/v) assuming v is positive.\nAnswer: v**(-530\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268107.00173 - -267743. Let o = w + 364. What is o rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 46*t**2 - 10*t + 466. Let n = -20 - -59. Calculate the remainder when n is divided by j(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4 and -85\/9604?\nAnswer: 9604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 - ((-8)\/(-4) + -1). Let f = 35 + c. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 73 = 28*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1415b2?\nAnswer: 1415a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6) + (-1 - 18) + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0082 + 1.0082. What is the smallest value in g, 2\/11, 0, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121053997169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6141782cm in kilometers?\nAnswer: 0.000006141782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 1.5. Let z be 2\/4*4\/5. What is the closest to z in -5, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2781, 14368, 34775, 64008, 102073?\n\"Answer: t**3 + 4404*t**2 - 1632*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 + (33 + -15 - -8)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2358523 and 42938?\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002934 to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 1804?\nAnswer: 1804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*g + 39*g + 4*g as j*g + u and give j.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w**2 - 12. Let t(u) = 6*u**2 - 5. Suppose -9*r + 35 = -2*r. Give r*n(a) - 12*t(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/263 in 2\/5, 0.31, -22?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3 + (1 - 1 - 2)*(-1 - 2 + 4) - 2 - 1 + 1 - 3 + 1 + 1 + 4 - 2 + 0 + 0 - 3 + 0 - 3 - 1 - 1)*(6 - 6 + 3*d)*(6*d - 3*d - 21*d)*(-1 + 1 - d).\nAnswer: -486*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -45?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)\/sqrt(81).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -16\/3*k**3 - 96*k + 0*k**2 + 0 - 1\/10*k**5 - 17\/6*k**4. Factor d(f).\nAnswer: -2*f*(f + 1)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 7, x: 1, u: 3, t: 5, a: 2}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-4))\/((-1)\/4). Let j = t + 8. Let d = j + -8. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = -12*d - 3*d. Let z be (2 + 1)\/(1\/(-5)). Let f = z + d. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 67 = 11. Suppose 6*q - 118 - 56 = 0. Let g = a + q. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (502\/(-31904))\/(321555\/(-1070810)). Let p = -1\/135592 - g. Calculate the common denominator of -61\/10 and p.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*c + 5*v, 2*c + 3 = 5*v - 1. Suppose 0 = -0*h + c*h. Factor 0 - 4\/7*l**2 + h*l + 6\/7*l**3 + 2*l**5 + 24\/7*l**4.\nAnswer: 2*l**2*(l + 1)**2*(7*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198 - -300. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117484*t**3 + 93114 wrt t.\nAnswer: -352452*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/1427, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d**2 - 454*d**2 - 141*d**2.\nAnswer: -524*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 24 = 2*b. Let r = b + 74. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/((-1)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-28) + (-7)\/(49\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 - 1 = 0. Let q = 91\/174 - 11\/58. What is the nearest to -7 in q, d, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(-3*24\/(-378))\/(162\/(-189))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3)*(h\/h**4)\/h)\/(h**(-2))**(-49) assuming h is positive.\nAnswer: h**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -414\/7. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2930365, -11721458, -26373281, -46885834?\nAnswer: -73259117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.095344 millilitres to litres.\nAnswer: 0.000095344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.2288 rounded to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.121629958 + -0.12162. What is r rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 37. Suppose -3*n + 228 = -w*n + 5*p, -4*p = 3*n - 662. Suppose -7 + 32 = 5*l, 2*l - n = -4*c. Is 52 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/(((-1)\/(-16))\/((-2)\/(-12))). What is the closest to -1 in d, 1\/2, 2\/21, 2\/47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/5 (b) -1\/4 (c) -5\/3 (d) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 76553, 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 + 2064*c**3 - 280780*c**2 + 7100592*c + 7383440 = 0. Calculate c.\nAnswer: -1, 34, 178, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058511 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -375593*q**3 + 20*q**2 + 23*q + 3. Is x(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x**(-2)*x)*x*x)\/x)\/x)\/(x*(x\/(x\/((x\/x**(1\/8))\/x*x)*x))\/x))\/(x\/(x\/(((x\/x**(-1\/2))\/x)\/x))*x)**(-11\/2))\/(x**3*x*x\/x**6)**10 assuming x is positive.\nAnswer: x**(119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g + 9 = 0. Let v = g + 5. Factor o**v + 2*o - 3*o**2 - 6*o.\nAnswer: -2*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -59*l**9\/168 - 469*l**5\/20 + 847*l**2. Find the third derivative of p(x) wrt x.\nAnswer: -21240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 74 + 32 = 0. Let a = 92 + q. Let f(k) = -1166 - a*k + 1166. Let u(z) = -2*z. Calculate u(f(o)).\nAnswer: 78*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let g be x(6). Let f = -135625 - -135624.8. What is the nearest to 0 in 0, g, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) 26 (d) 2 (e) 440\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 7*j**5\/60 - j**3\/6 + 7*j**2\/2 - 5. Let p(s) be the second derivative of m(s). Find the first derivative of p(q) wrt q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109770 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 482969\/3 + -160989. Find w, given that -2 + 1\/6*w**2 + z*w = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180238523 = 24*w + 54273155 - 437986632. Round w to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3)*s\/s**(4\/7))**(-34) assuming s is positive.\nAnswer: s**(374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2702.299 rounded to the nearest ten?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 455*t - 22727. Calculate j(-74).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i. Suppose v = -3*a + 4, 8 = 2*v - 2*a - i*a. Sort -2, v, 5.\nAnswer: -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let x(w) = -3*w + 2. Let c(o) = -5*a(o) - 2*x(o). Let d be c(2). Find the third derivative of 3 + p**2 - p**3 - d wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.602 + -4.602. Let p = -5 + 7. Let h = -1 + 1.2. Sort t, h, p in ascending order.\nAnswer: t, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1015, -497, -0.3 in increasing order.\nAnswer: -497, -0.3, -1\/1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6800 and 5600.\nAnswer: 95200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -39763?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -934, -1401, -1868, -2335?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -87100 to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5977269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4746535598 to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -489, -466, -50.\nAnswer: -489, -466, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 181 = 5*n - 225, n - 74 = 3*w. Suppose -n = 17*h - 22*h. Solve 4*t = -0*t - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 + 4*m - 10. What is the smallest common multiple of i(5) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -56, -1.7, -5, -4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**0))\/(t*(t**4*t)\/t))**(-26)\/(((t\/(t*(t\/((((t*t**1)\/t)\/t)\/t*t)*t)\/t))\/((t**4\/t*t)\/t))\/(t*t*t**(-1)\/t*t)**(-1\/23)) assuming t is positive.\nAnswer: t**(3081\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from czzrzczrczmccccr.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {m: 1, q: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 11*l**2\/2 + 12. Let i(x) = -2*x. Give i(y(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 2 + 5 + 127. Let k = d - 80. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 817*y**6\/15 - 3*y**4\/2 - 17*y**2 - y + 695. Find the third derivative of n(o) wrt o.\nAnswer: 39216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15007, -30022, -45051, -60100, -75175, -90282, -105427, -120616?\nAnswer: -135855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 5*q**2 - 480*q - 1980.\nAnswer: 5*(q - 11)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4 - 2*t - t**2 - 4*t**2 + t**3 + t. Suppose -r - 3*m - 10 = 0, 3*r = 8*r + 2*m - 15. Determine b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*o**2 + 0*o**3 + 0*o**3 + 74*o**2 + 4*o**3 - 30*o**2.\nAnswer: 4*o**3 - 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*n - 9*n. Do n and 14\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 + 76 = -38*h. What is the least common multiple of h and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -92*i - 7172. Let f(s) = -3*s**3 - 5*s**2 - s + 4. Calculate the remainder when f(-3) is divided by y(-78).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 58210 = -5*w + u + 4*u, 0 = 4*u. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -699\/1129303 or 1?\nAnswer: -699\/1129303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/35*195\/702.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 10*x**2 - 11*x - 4. Let a be g(-11). Let c be 2\/a*(1 + 1). Let u be (2 + c\/1)*0. Solve u = -3*m - 2*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -510564764 and 0.\nAnswer: -510564764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 8983\nAnswer: -4\/8983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2236 + 8338 = 566*a + 56*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 5*l**2 - 3*l + 5. Let b = -3 + 8. Let v(z) = -3*z**3 + 6*z**2 + 4*z - 6. Give b*v(g) + 6*u(g).\nAnswer: -3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-6)\/(-15) - -2. Suppose -19442934 - 12557076 = m*g + 2*r, -8000010 = g + 2*r. Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 2*w**2. Let c(y) = -y - 8. Let x be c(-10). Let j be r(x). Suppose j = -6*t + 176 + 46. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74223.\nAnswer: 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*h - 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 14) in base 10?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {g: 1, u: 1, h: 2, i: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 97 and 0.4?\nAnswer: 96.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from esejjey.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-28))\/(8\/(-48104)). Suppose -3*t + 288 = k, 3*k + 10*t = 6*t + r. What are the prime factors of k?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001059841 rounded to 6 decimal places?\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*2)**2 + sqrt(832) - sqrt(13) - (sqrt(39)\/sqrt(3) + 4)**2 - (sqrt(117) - (sqrt(117) + 2))*-5.\nAnswer: -sqrt(13) + 3289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -445, 0.3, 34, -165?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.4 (c) 1\/5 (d) -22 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-18))\/(((-30)\/(-30))\/(-23*1))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**3 - 1305*d**2 + 1300*d = 0.\nAnswer: 0, 1, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11386845 divided by 3795615.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -45\/32 (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 49*x + 1858. What is c(-61)?\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*o + 115. Let c = -23 - o. What is the smallest common multiple of c and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 26138*u**2 + 104540*u - 104536.\nAnswer: (u - 26134)*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8519*s**3 - 12*s**2 - 7*s - 22. Let t be w(-9). Let n = -211282 - t. What is n rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 22. Let o be (-2)\/(u\/(-28)*4). Let h be 3*((-2184)\/9)\/o. Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663 = -6295*u + 6244*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**6\/120 - h**4\/24 + 5*h**3\/3 + h**2 - 3. Let q(a) be the second derivative of w(a). What is the units digit of q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.047 + -0.221. Round p to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838436 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3621802 and 2648?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -23, -77, -173, -323?\n\"Answer: -2*k**3 - 3*k**2 - k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 40 = -0*t - 2*t, 3*t - 845491*s + 845494*s + 27 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4041*k + 4010*k - 8572*k.\nAnswer: -521*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3) + -2 + 2 + -2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-7542\nAnswer: 754.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9345091 and 1616495.\nAnswer: 10961586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 5, e: 1, q: 1, h: 5, l: 4}. What is prob of picking 1 l, 1 x, and 2 z?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -31*j**6\/10 - 107*j**3\/3 - 74*j**2. Differentiate a(k) with respect to k.\nAnswer: -1116*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*j - j - 64, 5*j + o + 52 = 0. Let d(x) = -x + 4 + 4 + 0. Is d(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*t - 6 + 3 in the form i + q*t and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1722*p**3 + 1360*p**2 - 10*p - 195476 wrt p?\nAnswer: 10332*p + 2720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:53 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 4*m**2\/9 + 10*m\/9 + 4\/3.\nAnswer: -2*(m - 2)*(m + 1)*(m + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41151 - -12?\nAnswer: -41135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/42 + 6*w**5\/35 + 3*w**4\/7 + 10*w**3\/21 + 3*w**2\/14 + 21. Determine u, given that v(u) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 204*g + 2010, 0 = p + 1945 - 1939 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1543 - 1480. Calculate the remainder when c is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4316412ng?\nAnswer: 0.0004316412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 4 (c) 0.4 (d) -2\/71 (e) -0.0462\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525562?\nAnswer: 2, 313, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 98 = -4*a. Calculate the remainder when a is divided by (-3103)\/(-522)*3 + (-1)\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -626*a. Let f(r) = 2*r**2 + 6*r + 48. Let v(c) = -c - 8. Let x(t) = f(t) + 6*v(t). Determine x(q(m)).\nAnswer: 783752*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 + 174*w**2 + 932*w - 85. What is i(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**2 + 2\/3*t**3 - 4*t + 13. Let f(y) = 0. Calculate y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/6*63*(-10)\/(-15))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**5\/4 + 9*t**4 - 3*t**3\/4 - 9*t**2 = 0.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(5 + -3 + (sqrt(76) - (sqrt(76) + 0)) + (-1*sqrt(76) - sqrt(76))*-2)**2.\nAnswer: -6102 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1873, 1869, 1865?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 0.003312.\nAnswer: -0.089424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12642776*q + 284640701?\nAnswer: 12642776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (268100\/(-3))\/(1\/(-3)). Let q = b + -148795702\/555. Let i = q + -4\/111. Sort i, 4, 5 in decreasing order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6655 and 1.410913802.\nAnswer: 6656.410913802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10362 divided by 471\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 312\/(-182) + 2\/(-7). Calculate the common denominator of (777\/240 + 1)*w\/3 and -39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 + b + 1. Let h be s(-3). Let v be (1\/h)\/((-1)\/4). Let j be 4 + (1 - 1 - v). Solve -j = q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 8. Let t be i(6). Solve -1 - t = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*a**2*v**3 - a**2*v**2 + 17*a**2*v + 13*a**2 - 5658*v**2 - 15*v - 11 wrt v.\nAnswer: -54*a**2*v - 2*a**2 - 11316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 23103*l - 44457120 = 0. Calculate l.\nAnswer: -3936, -3765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:11 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0 - 101*g - 113*g - 144*g.\nAnswer: -358*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715314.8 centuries to millennia.\nAnswer: 71531.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -779613, -3118462, -7016547, -12473868, -19490425, -28066218?\n\"Answer: -779618*r**2 + 5*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13616054.02 to the nearest ten thousand.\nAnswer: 13620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 11:46 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6268 less than -6254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o**3*q - 179*o**3*u + 2*o**3 + 3*o**2*q*u + 63*q*u + 30*u wrt q?\nAnswer: -4*o**3 + 3*o**2*u + 63*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82283 is divided by 350?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(4\/9)*v)\/v)\/(v**6*v*v)*(v**(-1\/6)*v)\/(v*v\/v**2*v*v))\/((v*v*v*v\/(v\/(v**(-2\/7)\/v)))**(-9\/4))**(-1\/13) assuming v is positive.\nAnswer: v**(-14773\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 452 + 214. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -25*v. Let w be (-5)\/(-25) - ((-8)\/10 - 1). Let u(p) = -p**2 + 2*p**2 - p**2 - 2*p**w. What is u(m(a))?\nAnswer: -1250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 297564952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*w = 38*w - 92*w - 700 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-27) + 0\/(-3 - -1). Solve 4*m = -3*u + 8, m - 2 = 4*u - r*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 932 divide 552124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-2 + (-3160)\/(-5))\/((-6)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41380 divided by -6\nAnswer: -20690\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 49.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19408889?\nAnswer: 149, 130261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2878.3 - 5.\nAnswer: 2873.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d**2 + 3*d**4 + (3 + d - 2 + 0)*(6*d**3 + d**3 + 2*d**3).\nAnswer: 12*d**4 + 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 0*s + 24252. Let o = s + 2122. What is o rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*190401\nAnswer: -761604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 125*r**2 - 36*r + 4498. Give k(125).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 39 = -5*f, 3*f = -f - 12. What is the third derivative of -4*a**2 - a**6 + 0*a**t + a**2 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0535 - 20170056.4.\nAnswer: -20170056.3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201 is divided by 303.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 4. Let l(x) be the third derivative of x**4\/8 + x**3\/6 - 3*x**2. Let u(d) = -2*d. Let q(r) = 3*l(r) + 5*u(r). Give 2*m(b) + 3*q(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d. Let c(t) be the third derivative of 0*t + 8*t**2 + 0 + 0*t**3 + 0*t**4 + 53\/20*t**5. Determine n(c(q)).\nAnswer: -477*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556683 is divided by 37109?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001207401 to five decimal places.\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11420*r - 11423*r + 15 = -2*y, -4*y + 4*r - 28 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let u(g) = 5 - 26 - g + 4*g. Suppose 3*v = 9, -f + v = -0*f + 4. Let i(a) = f*u(a) - 3*y(a). Let k(t) = -t + 4. Determine 2*i(o) - 11*k(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = -18. Suppose 0 = 4*b - m - 21, -3*b - m + 27 = 2*m. Calculate the least common multiple of b and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 8*n + 13. Let g(z) = z**2 + 9*z - 6. Let a be g(-9). What is the common denominator of x(a) and -67\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 + 14 - (0 - 1). Suppose 4*h - 10 = z*n + 8, 3*n + 9 = 0. Find the second derivative of 50*y**3 + 54*y**3 - 2*y - 100*y**h wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -76. Solve b*f = -4*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10381424 by -76334.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 10542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 2, t: 2, r: 2, i: 5, x: 1}. What is prob of picking 1 t and 1 h?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 12 = 0, -7*n + 32 = -1342*b + 1346*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -171617, -343237, -514857, -686477?\n\"Answer: -171620*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 670194526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1595, 3, -2, 4, 0, -59 in ascending order.\nAnswer: -59, -2, 0, 3, 4, 1595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -890 - 7260*i**3 - 5790*i**3 + 890 + (-1 - 2*i + 1)*(2*i**2 + 3*i**2 - 6*i**2).\nAnswer: -13048*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -295\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 10. Suppose m + c = -c + o, 3*m - 20 = -c. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 + a**3)*(-2*a + 0*a - a) + (30*a**2 - 4*a**4 - 30*a**2)*(11 - 3 - 6).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-1\/16)))\/a)**9 assuming a is positive.\nAnswer: a**(-135\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 205 in 0, -2\/11, -17, -1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 - (-1)\/(-2). Suppose -5*s - 70 = -5*o, 6*o - 3*o + 5*s - 2 = 0. Let c = o - b. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/680 + 6\/16. Let o(z) be the first derivative of 0*z - 2*z**3 - z**2 - k*z**5 - 1 - 3\/2*z**4. Find r such that o(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(9\/4)\/o)\/o)**(1\/42)\/(o**(-1)*o\/(o*o**(-33))) assuming o is positive.\nAnswer: o**(-5371\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, q: 1, t: 1, s: 1, p: 4, j: 3}. Give prob of picking 1 t and 1 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**2 + 130*x**2 - 30*x**2 - 77*x**2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:15 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-36)*3)\/(4\/(-18)). Let t be 245913\/(-27)*3 - 1\/s. Let c be 25000\/(-3)*t\/(-9). Round c to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 3*o + 3*o)*(20744*o**3 - 33110*o**3 + 20885*o**3) to the form s*o**4 + m + t*o**3 + v*o + w*o**2 and give s.\nAnswer: 8519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281981057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.127685 to two dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puhpppgugppwuupw. Give prob of sequence uug.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4346 + 0.1346. Put -0.4, z, 44, 4\/7 in decreasing order.\nAnswer: 44, 4\/7, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0569188636 - -81.19.\nAnswer: 81.1330811364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.4. Let z = -312 - -312.4. What is the smallest value in 4\/9, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129637403641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4829\/50046*-152)\/(2\/12*1*28).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0738 * 0.3\nAnswer: 0.02214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131820 and 13520?\nAnswer: 527280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 + 6*a**2 + 20*a + 98. Let h be f(-6). Let p = 1045 - h. What are the prime factors of p?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112635382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 4*s + 4. Let p(c) = -3*c**2 - 9*c + 8. Let w(t) = -5*d(t) + 2*p(t). Give w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16175*w - 11570 = -16620*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7))**(1\/46)*y**(-11\/3)\/y*y*y**(-4\/11)*y assuming y is positive.\nAnswer: y**(-32101\/10626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2618958, -5237931, -7856904?\n\"Answer: -2618973*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5*o*o*o**(6\/11))\/(o**(-6\/7)\/(o\/(o*((o**(-1\/5)\/o)\/o*o)\/o)*o*o)))\/(((o**(-1\/6)*o*o)\/(o\/(o*o**(6\/11))))\/(o\/o**(-1))**(3\/19)) assuming o is positive.\nAnswer: o**(42053\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0087919475 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pre when three letters picked without replacement from {p: 5, r: 2, c: 3, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/23, 2\/11, 0.05, -0.54, 8\/5?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1521083 and 3.5.\nAnswer: -5323790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21478 is divided by 3573?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3 = 2*j, -11932*j + 11884*j = 3*g + 135 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 146425*a + 146426 = 0.\nAnswer: -146426, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - 9. Let p = x - -38. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 + 30*z**2 - 35)*(1 + 0 - 4) + 0*z**2 + 2*z**2 + 0*z**2 in the form t*z + r*z**2 + l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**2 - 2*x**2 + 7*x**2 - 8*x**2 - 11*x**2 - 3*x**2 + 2*x - x**2 - 2*x + (x**2 - 6*x**2 + 3*x**2)*(-1 + 0 + 0) + 17 - 17 + 11*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006734 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -162\/7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - -1. Let v = 62 - h. Put 0.4, 1, v in increasing order.\nAnswer: v, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27270179.\nAnswer: 29, 940351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -886208, -1772429, -2658650?\nAnswer: -3544871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 19*g**2 - 8*g - 1. Calculate k(-2).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1400, -2\/69, 4, 1, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 12*i**2 + 122*i - 14. Calculate the smallest common multiple of 100 and m(6).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/161 and 23\/4?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 5, u: 2, g: 8, x: 3}. What is prob of sequence xbg?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133644 is divided by 321.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(175) + 2 + (3*sqrt(21)\/sqrt(3) + 4)*-1)*2.\nAnswer: -18 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (55 + -24) - (0 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 239*o**2 + 4*o - 11. What is the tens digit of m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -89*f + 1. Let g(a) = -a**2 + 20*a + 16. Let o be g(21). Let n be q(o). Is n\/1 - (1 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/100 + 146*m**4\/5 - 170528*m**3\/5 - 1052*m**2. Suppose d(g) = 0. Calculate g.\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 15*g - 5. Let w be m(8). Let o be (-293)\/w - (-60)\/(-45). Let c be o\/(-21) - 2\/(-7). Solve -c*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 959.8 or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 198078 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 12*n**2 - 6*n + 13. Let k(i) = -i**2 + i. Let z(j) = c(j) + 3*k(j). Let h be z(-5). What is the greatest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3126 or 3121?\nAnswer: 3126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1831*y**3 + 10*y**2 + 3*y - 13. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, 1 s, and 1 v when four letters picked without replacement from msayvsvmbasaasavaa?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(((16\/(-8))\/((-4)\/(-8)))\/(-42)). Solve -o*n - 8*n = -174 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 467*s - 4403. Determine z(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342\/11 bigger than 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 60. Let w(q) = -2*q + 1. Let m(f) = -2*f + 2. What is l*w(u) + 3*m(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -512 less than or equal to -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Suppose s + u*s = -20. What is the nearest to -2 in 2, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101011001011101000 - 11?\nAnswer: -11111101011001011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -1256+0.4\nAnswer: -1255.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 6*y - 5. Let a(c) = -4*c**2 + 5*c - 4. What is -7*a(x) + 6*o(x)?\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 2\/13 (c) -5\/2 (d) -208 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14708 (base 11) to base 6\nAnswer: -240220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14*(-3)\/18. Sort 2, 6, z, -4 in descending order.\nAnswer: 6, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2 + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2646401.\nAnswer: 181, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:54 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -4*n. Suppose -s + n = 2. What is the nearest to 1 in s, -0.4, -0.08?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*i**2*r*t - 2*i**2*r + 13164*i**2 + 142*i*r + i*t - 207*r*t wrt i.\nAnswer: 44*r*t - 4*r + 26328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 15) to base 16\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1752134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2596621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -531 (base 6) to base 7.\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300001212223 + -3?\nAnswer: -300001212232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100396 and 14896?\nAnswer: 19677616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.87, -2, -0.05 in descending order.\nAnswer: 0.87, 1\/3, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405 - -6887\/17. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/5 - 226*n\/5 + 2244\/5 = 0. Calculate n.\nAnswer: 11, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3776149518?\nAnswer: 2, 3, 4679, 134507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2255435, -2255480, -2255525?\nAnswer: -2255570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0.24, 25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -12284330 and -12284331 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-2)\/(-9) + 117\/(-162)). Sort 7, -5, -4, s in descending order.\nAnswer: 7, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*((-5)\/20 - 0). Solve 5*l - 13 = -m*q + 6*l, -2*q + 3 = 5*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194 is divided by 1690?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 8*u + 2. Calculate n(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 69953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 7:50 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-44)\/(-18))*1\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4 + 76*x**3 - 61252*x**2 + 1058324*x - 997152 = 0.\nAnswer: -141, 1, 17, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -9. Let j be -1 - (2 + l - -1). Let u be ((-21)\/j)\/(9\/24). Solve 4 = -5*k + u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 154*u**3 - 63*u**2 - 63*u - 6356. Let c(z) = 5*z**3 - 2*z**2 - 2*z - 205. Give -63*c(g) + 2*f(g).\nAnswer: -7*g**3 + 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*n + 990 = 251*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 824199755 to the nearest integer?\nAnswer: 28709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -863, -862, -861, -860, -859, -858?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -9, -2\/3, 2.7, -2, 2\/3 in descending order.\nAnswer: 2.7, 2\/3, 0.1, -2\/3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**4\/4 + r**3 - r**2\/2 + 1. What is the units digit of x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*(-3)\/(-6))\/(-1). Let i be -2 - (-2 + (-10)\/25). What is the nearest to i in 1, r, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -404, -387, -366, -341?\n\"Answer: 2*o**2 + 11*o - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 16) + 7 - (2 + 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9440 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: In base 9, what is -6710 - 0?\nAnswer: -6710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*(-8)\/56*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*w + 20 = 0, 0 = -3*d + 4*d + 5*w - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 12. Let a be ((-3)\/4 - 8\/32) + -19. Let l be a\/6*(-126)\/5. Calculate the highest common factor of l and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/1080 + 7*p**5\/360 + 5*p**4\/36 - 59*p**3\/6 - 95*p**2. Let r(z) be the first derivative of c(z). Factor r(q).\nAnswer: (q + 2)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-3170394)\/22 - -1. Let t = -144014 - u. Let s = t + -95. Which is the second smallest value? (a) 5 (b) -2\/21 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, -117, -336, -755, -1440, -2457, -3872?\n\"Answer: -11*n**3 - n**2 - 5*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -17, -37, -3\/56?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26357443 and 29559.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*j - 3*p, 6*p = 3*p + 9. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/3)*k)**(22\/3)*(k\/k**(1\/2)*k)**4)\/(k**(3\/4)\/(k*k**(2\/19)*k)*k**(-3)*k**(2\/11)) assuming k is positive.\nAnswer: k**(223681\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -2. Let n(h) = -h**3 + 5*h**2 - 2*h + 6. Let a be n(j). List the prime factors of 1168\/24 - a\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdd when three letters picked without replacement from rltldrdrllrrrrrr.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22438872 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32998 is divided by 367?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 23*t**2 + 67*t + 117. Give v(27).\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2, -b - 2*b = -2*c - 340. Let u = 254 - b. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.04 (b) 4\/11 (c) -162 (d) -5 (e) 0.3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83 + -1603?\nAnswer: -1603.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 414244 (base 7) to base 8\nAnswer: 212733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**8\/112 - t**7\/70 + 3*t**6\/20 - 36*t**2. Find q such that u(q) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*0\/(-1). Let h be (-32)\/(-18) + 10\/45. Suppose -h*n + 672 - 10 = d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 19. Suppose 16 = -5*r + x*q + 122, -5*r = 4*q - 74. Suppose -5*o = -434 + 74. Calculate the highest common factor of r and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 2*b**2 + 5*b - 4. Let i(f) = -f**3 - 11*f**2 - 9*f + 12. Let v be i(-10). Let r be j(v). Let n = r + 90. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 4*x + 4*x + ((-3*x + 5*x + 0*x)*(1 - 4 + 5) - x - x + x + x + x + 0*x)*(5 + 2*x - 5)*(4*x - x - x) as g*x**2 + h*x + d + c*x**3 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -29, -5 in decreasing order.\nAnswer: 6\/11, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8331636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgnq. What is prob of picking 1 g and 2 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5 + 3*m**4 - 75*m**3 + 105*m**2 + 72*m - 108 = 0?\nAnswer: -6, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1))\/x**(2\/11)*(x*x*x**0)**(14\/3) assuming x is positive.\nAnswer: x**(368\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -467 - -897. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3407 + 3407. Let v(h) be the third derivative of -h**6\/120 - h**4\/12 + 211*h**3\/6 - 2*h**2. Is v(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**3 + a**3 + 4 - 3.\nAnswer: -37*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 252598876 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044 divided by 1?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 653*g - 543*g + 1760 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -43, 473, 1185, 2087, 3173?\nAnswer: 4437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/10 + k**4\/14 + 55*k - 1. Suppose t(x) = 0. Calculate x.\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + -1 + sqrt(300)))**2.\nAnswer: -22*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2128\/42*(-27)\/(-4). Let y be 4\/(-3)*o\/(-12). Suppose y + 26 = 8*l. What is the remainder when 55 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 17*b + 74. Let n be j(8). Determine y, given that -6 - 8*y - y + 2*y**4 - y + n*y + 4*y**2 + 8*y**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - 20022312?\nAnswer: -20022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Suppose -5*f + 128 = b*z, 4*f - 152 + 50 = -2*z. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o - 7. Let v(a) = -a + 1. Let l be v(7). Give y(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/((-8)\/(72\/63))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (49\/28)\/7. Solve o = 59*q - 57*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = 28. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9437 = 5*v + 8*w, -3*w = -3*v - w + 5601. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1\/997, 6 in decreasing order.\nAnswer: 6, -1\/997, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 - 3176 - 92 - 2*o - 451.\nAnswer: -2*o - 3451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/202107 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 9*g = 5 - 18, -2*d + 4516*g + 5 = 4517*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109499383*n**2 + 8256*n - 13747 wrt n?\nAnswer: 218998766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -30. Solve 2*t - 3*w + b = -0*w, -2*t - 10 = 2*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/5)\/l)**6\/(l*l*l\/l**(2\/3))**(-10\/3) assuming l is positive.\nAnswer: l**(404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2354 = -78*p - 2120. Suppose -2*u = u - 12. Solve 3*c = -2*o - 5, -p*o - 4 = u*c - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i - 20. Suppose i*t = 18 - 3. What is the second derivative of -7*v**4 + 236*v**t + 4*v - 236*v**3 wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 78280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251060957?\nAnswer: 7, 5123693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15169 rounded to the nearest ten?\nAnswer: 15170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123.8 + 130. Let j = n + -5.8. What is the third smallest value in j, -19, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t**3 + 52*t**2 - 5. Let r(u) = 7*u**3 - 52*u**2 - u + 4. Calculate -2*d(s) - 3*r(s).\nAnswer: -s**3 + 52*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2\/9, -0.3 in decreasing order.\nAnswer: 2\/9, -0.3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(12)\/sqrt(4))**2*1 + 3 + ((sqrt(126) + sqrt(126) + 2*sqrt(126) + sqrt(126) - sqrt(126))\/sqrt(6))\/(sqrt(14)\/sqrt(2)*2).\nAnswer: 2*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.7 - 13. Which is greater: r or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*d - 120 + 5\/2*d**2.\nAnswer: 5*(d - 12)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c - 1610. Let f be c\/25 - 3\/5. Let a = -32 - f. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 - q - 3. Let w be y(-5). Let u(b) = -4*b + 2 + 3 + 5*b - 3*b**2 + 4*b**w. List the prime factors of u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.455 - -9.266. Sort -4, -7, s, 0 in increasing order.\nAnswer: -7, -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4144470 is divided by 1036114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.08105 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 29.31?\nAnswer: -24.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 540200861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -878*k**2 + 100*k - 6. Let h(z) = -877*z**2 + 150*z - 6. Determine 2*h(l) - 3*p(l).\nAnswer: 880*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 7) + 192\/(-32) - 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x - 3*m - 13, 5*x - 20 = 3*m. Let v(z) = -z - 2. Let i be v(-4). Suppose i*a = 2 - 4. Is a smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -4 + 3 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77))\/sqrt(7)*4 + 5.\nAnswer: -12*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2062300, -2062388, -2062532, -2062726, -2062964, -2063240, -2063548, -2063882?\n\"Answer: n**3 - 34*n**2 + 7*n - 2062274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169784, -339568, -509350, -679130, -848908, -1018684?\nAnswer: -1188458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 609 - -1707. What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 79*f**3 + f**2 + 19*f + 30. Is g(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0*y**7 + 0 + 0*y + 0*y**6 + 0*y**3 + 67\/24*y**4 - 26*y**2 + 0*y**5 + 85\/336*y**8. Find the second derivative of l(s) wrt s.\nAnswer: 1700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6510 divided by -62\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132129123.\nAnswer: 89, 2683, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3395 to the nearest 10.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69139 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11285 is divided by 123?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38329867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*q + 16 = 0, 6*t + 5*q - 9 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((28\/14*15)\/((-2)\/3)).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35 (b) -2 (c) -2\/7 (d) 0 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60\/11, 0, 1\/5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 580 = -124. Solve 4*i - b = z, -2 = -4*i + 3*i - 3*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912048580 a multiple of 13310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261352 and 718718?\nAnswer: 2874872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/144 - 5*y**5\/36 - 10*y**4\/9 - 40*y**3\/9 + 2*y**2 - 1501*y. Let q(b) = 0. What is b?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/3)\/(4\/(-12)). Let o = -11 - j. Suppose o*r - 93 = 2*r. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6774 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:21 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 12287442?\nAnswer: 1228744.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*r - 4, 4*r + 5*w = -64 + 78 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/34, 42, -4\/7, 0.5, 7.1, 5 in descending order.\nAnswer: 42, 7.1, 5, 0.5, 9\/34, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s**3 - 28*s**3 + 3*s - 46*s**3 - 3*s**3.\nAnswer: -112*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttjddltjjwttttt. What is prob of sequence djt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*n + 35*n**3 - 11*n**2 + 56*n**2 + 10*n**4 - 270 + 2*n**4 - 7*n**4.\nAnswer: 5*(n - 2)*(n + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 2730.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 + 13*b**5 + 4*b**5 + (-7*b**5 - 5*b**5 + 0*b**5)*(-3 + 1 + 4) + (2*b**3 + 0*b**3 - 4*b**3)*(-b**2 + 2*b**2 + 0*b**2).\nAnswer: -13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.2. Let h = 19 + -18.7. Which is bigger: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 1. Let t be s(2). Suppose 2*k - 5*k + 2*q + 8 = 0, 3*k - 1 = -t*q. Let d(w) = k*w - w - w + w. Calculate d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i*i\/(i**(12\/5)*i*i)*i*i))\/i))**(2\/49) assuming i is positive.\nAnswer: i**(6\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 f when three letters picked without replacement from rfrtrgrtfrrr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 61. Calculate the highest common divisor of 4 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368406, -368415, -368438, -368481, -368550, -368651, -368790, -368973?\nAnswer: -369206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(6 + -5)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 77223?\nAnswer: 11\/77223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/10 - j\/10 + 36\/5.\nAnswer: -(j - 8)*(j + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33957396*p**2*x - 1276*p + 10420*x wrt p?\nAnswer: 67914792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.8 (b) 49 (c) 100322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1702 - -1738. Solve 18 - y = -9*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 3, -646, 1.9, 0.4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 87*f = -84*f - 22, -38 = -5*j - 2*f. Let k be (3*4\/3)\/2. Solve k*m + 3*m + j = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 204*x**2 - 219*x - 2535. Calculate g(-203).\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 142\/(-80) - (-1596)\/1140 - (-111)\/(-24). Let s = 43 - 7. Let p(o) = -4*o**2 - 5*o + 5. Let x(b) = -27*b**2 - 36*b + 36. Calculate s*p(j) + y*x(j).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 (base 3) in base 15?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1317761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*s = -s - 11, -2*h = -5*s - 11. Let m(f) = -2*f - 3 - 8 + h*f. Give m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 1369098?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/4))**(-1\/6)\/(b**(1\/4))**28 assuming b is positive.\nAnswer: b**(-163\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 1740*q - 1740. Calculate f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2*c**3\/33 + 210*c**2\/11 - 38*c - 959. Let s(v) = 0. What is v?\nAnswer: 1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 286. Suppose 813*g - 810*g = w. Calculate the highest common divisor of 292 and g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0*t**2 - 2*t**3 + 22*t**2 + 12*t**3 + 0*t**2. Let n(v) = -3*v**3 - 7*v**2. Let d(q) = 16*n(q) + 5*y(q). What is the third derivative of d(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 - 321. Let h = f + 115. Suppose h*r - 12*r = 0. Solve r = -3*p - 5 - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4451 - -4495 - (101 - -5).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -7*b**4\/12 + 82*b - 1. Let m(t) = t**2. Let j(r) = 28*m(r) + 5*w(r). Let h(o) = -o**2. Calculate j(h(y)).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -11, -49, -121, -239?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/2425 (b) 5 (c) 0 (d) -7\/3 (e) -2 (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6936680719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from iyiigyigbiiigibg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22422 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*a**4 + 484*a**3 + 750531 wrt a.\nAnswer: -204*a**3 + 1452*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:26 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + -1*sqrt(22)*-2 + sqrt(22) - (sqrt(22) + sqrt(88)\/sqrt(4))*1)\/(sqrt(99)\/(sqrt(18)\/sqrt(2)) - 1*sqrt(1584)).\nAnswer: -2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3))**25)**(6\/7)*(t*t\/t**(-3\/2))\/(t**(1\/7)*t)*((t*t**6)\/t)\/t*t*t*t\/(t**(-1\/6)\/t)*t assuming t is positive.\nAnswer: t**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -210.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**3 - 23*r**2 + 2*r + 1. Let z(w) = 7*w**3 + 24*w**2 - 3*w - 1. Give 3*p(u) + 2*z(u).\nAnswer: -4*u**3 - 21*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Let x(p) = -6*p. Let h(f) = -215*f. Let d(y) = 2*h(y) + 18*x(y). Give d(a(c)).\nAnswer: -538*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 16113*t**2\/2 - 80584*t + 193416.\nAnswer: (t - 6)*(t - 4)*(t + 32236)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317605 + -317603.12443. Let v = -22.18667 + q. Let o = -20.3 - v. Round o to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 3846*i + 11565.\nAnswer: -3*(i - 3)*(i + 1285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 42*f**2 + 545*f + 18. What is i(-17)?\nAnswer: -2022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8404*k + 142877. Determine m(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r. Let m(o) = 3349*o**2. What is b(m(v))?\nAnswer: 13396*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/7, -0.1, 0.2, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1. Let s be 6\/(-9) - 2\/6. Let x(m) = m + 3. Let h(a) = s*x(a) + 3*u(a). Let l(n) = 2*n**2. Determine l(h(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 405, 402, 397, 390, 381?\n\"Answer: -q**2 + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 247647 + 165.599\nAnswer: 247812.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 - 152. Suppose -4*h + 16 = v, -5*b + b - h + 24 = 0. Solve 0 = b*y - 0 - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230b1c8 (base 14) to base 11\nAnswer: -9479317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(150)*2*-3)\/((sqrt(24) + sqrt(384) + sqrt(24))\/sqrt(12) + (sqrt(24)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: 54000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 16*r + 653. Let g be l(0). Round g to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 2*j - 20, -3*o = -j + 55 - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*i**4 - 44061*i**3 + 20937728*i.\nAnswer: -1572*i**2 - 264366*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 359.3168 millilitres?\nAnswer: 0.3593168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 2*n - 3, -7*n - 2762 + 2763 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 6*l + l + (-1 - 3 + 5)*(-2*l + 4 - 4) to the form v + n*l and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -6. Suppose -4*g - p = -18, g = -4*x + 647. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 - 7*t - 3. List the prime factors of j(13).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*i - 1939*i = 136263 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -31*f + 2. Let u(q) = q**2 - 61*q + 5. Calculate 2*u(n) - 5*x(n).\nAnswer: 2*n**2 + 33*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/30 - 70\/12. Let d be ((-4)\/b)\/((-2)\/21). Let w = d + 21. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + -10)*2\/1. What is the closest to 0 in 1\/4, w, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4991, 39708, 133847, 317120, 619239, 1069916, 1698863, 2535792?\nAnswer: 3610415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*c + 727*c = -460*c - 12894 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 49. Let q = 4 + f. Let w be -114*q\/3 + -2. What is w rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 2. Let u be m(-4). Let h be 1 + 22\/u + 1520\/684. Solve h*t - 6 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*t + 31 = 56*t + 21*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 22188578?\nAnswer: 266262936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 19. Let q = -25 + f. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by -2785\nAnswer: -82\/2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b - 4. Solve -b*p + 2*x = 0, -p = p - x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 1, x: 2, r: 4, t: 1}. What is prob of sequence wx?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/8*5\/((-5)\/12). Suppose f*j + 49 = 184. Calculate the remainder when (58\/(-6))\/((-4)\/24) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-182)\/35)\/(-13 + (-13494)\/(-845) - 3)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/4 + 18\/(-24). Which is smaller: a or 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2957494 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 + -40171?\nAnswer: -40046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*m*m\/(m*m*m**(-5)*m)*m*m)**(3\/25)\/((m\/m**1)**(-44)*(m*m**1)\/m**5) assuming m is positive.\nAnswer: m**(183\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 260936.1788 to the nearest 10.\nAnswer: 260940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/27)*k**(4\/7)*(k*(k*k\/(k\/(k**(1\/3)*k)*k))\/k)**(-10\/9))**(2\/7) assuming k is positive.\nAnswer: k**(-316\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 121736*a + 2434771. What is y(-20)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 76. Suppose -4*s = -f - 7. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 176196194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-24)*10\/(-3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = -7*g - 136. Is ((3 + g)\/(-3))\/((-3)\/(-279621)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-120)\/90?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, -9, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9866985*i*n**2 - 113411*i*n + 4*n wrt n?\nAnswer: 19733970*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*z + 24 = 0, -z - 29 = 4*v + 4*z. Is 210\/(-9)*(v - (1 + 1)) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/6 + (-142)\/4. Let v = 12 + i. Is v smaller than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + 2. Suppose t = 3*t - z. Let r = t + -7. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131204604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8378 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -233 (b) 28 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 15*v - 36. Solve 0 = -b - 5*l - 10, 0 = -3*b - 2*b - v*l - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(14\/(-24))*(-23)\/(-69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150683621.\nAnswer: 3, 383561207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k + k**5 + (-443*k**2 + 830*k**2 - 245*k**2)*(2*k**3 + k**3 - 4*k**3) - 2*k**5 + 0 + 0 + 0*k**3 + 0*k**3 + 2*k**5.\nAnswer: -141*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, -2\/7, -0.7, 0.03, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 5, -7, -4.\nAnswer: -7, -4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 - 16*s**2 + 8*s**2.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(304))*-4 + sqrt(304))**2.\nAnswer: 192*sqrt(19) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (639678*r**2 - 639678*r**2 - 3798*r**4)*(3*r - 7*r + r).\nAnswer: 11394*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y - 860. Let i(a) = -2*a. Determine i(w(t)).\nAnswer: 14*t + 1720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 1, y: 2}. What is prob of picking 1 h, 2 q, and 1 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89131.43 millennia to decades.\nAnswer: 8913143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 87. Suppose 158*d = 156*d - 60. Let m be c(d). Solve -3*w - m + 6 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.9. Let l = p + -0.8. Suppose -4*d = 5*t + 7, 0 = -6*d + d - 5*t - 10. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -9 - 3. Suppose -4*v + 18 = 2*f, p*v = -0*v - 5*f + 27. Suppose v = 2*z - 7, b - 5*z = -2. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -47*n - 4. Let k(i) = -23*i - 2. Let y(p) = -340*p + 684. Let w be y(2). Calculate w*b(j) - 7*k(j).\nAnswer: -27*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-20 - -7) + 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3098330 and 665.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5029*m + 2059*m - 20511*m**2 + 27248*m**2 wrt m.\nAnswer: 13474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414786131755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - 3. Let r = 0.50000064 - w. Round r to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 14*f**2 + 4*f + 13. Let r = 428 - 421. Is d(r) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1585 + 5775. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, c: 6}. Give prob of sequence gc.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 3*(-2 + 110\/60)*-206.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 4:35 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(-42)\/5. Suppose 0 = 2*i + 5*f + m, f + 10 = 2*i + 1. Suppose o - 4*h - 8 = -2*h, i*o + 11 = -5*h. Solve -o = 2*v - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*z - 28*z - 44*z + 405 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*j**2 - 5*b**3*j*t + 11*b**3*t**2 - 38*j**2*t**2 wrt j.\nAnswer: 8*b**3 - 76*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) - (-25)\/9. Let b = -1408 + 1408. What is the closest to -1 in -1\/2, y, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 3 - (-1 + -4). Suppose -3*v - 201 = -y*a, -2*a + 4*a - 146 = 5*v. What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3 + 4*f - 4*f - 3*f**2 - 3*f**2. Suppose -c - 1 = -2*w + 4, -5*w + 13 = -2*c. Let n(m) = 17*m + c - 17*m - 2*m**2. Determine 2*d(i) - 7*n(i).\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216576 and 470.\nAnswer: 1082880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-316 - 321 + 581*y + 637)*(2*y**2 + 3 - 3) as r*y + j*y**2 + x*y**3 + s and give x.\nAnswer: 1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 184161251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from nnnyyyynyiyyvyy?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1494 - 598. Let j = y - 895.8195. Round j to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/78 - 14\/(-91). Let u = 551 - 551.0269. Let t = u + 4.0269. What is the closest to 1\/3 in t, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 1, m: 1, e: 2}. Give prob of sequence ee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2656305?\nAnswer: 3, 5, 59029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.122 - -26455977.9.\nAnswer: 26455977.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11178 (base 11) to base 13\nAnswer: -7496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/35 + -3\/35. Let x = -31.5 + 31.1. What is the nearest to c in x, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 319\/4. Calculate the common denominator of 81\/40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 less than or equal to 233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1324 and 10.\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + f = 3*r - 9, 0 = -5*r + 4*f + 21. Let s be -61*(r + -2 + 0). Let j = -37 + s. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5041*u**2 + 27*u - 26. Let v be n(1). Suppose -3*f - 1128 + 4140 = 2*h, -5*f = -4*h - v. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Let i be ((-15)\/(-30))\/((-2)\/o). Let h(j) = -9*j**3 + j**2 + 2*j + 1. Is h(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9143210 is divided by 1406?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 13*f = 6*f - 19, -3*f - 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 262\/(-16) + 13 + ((-27876)\/96)\/23?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68080 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6572*x**3 + 4*x**2 + 666*x + 28 wrt x.\nAnswer: -39432*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/16)\/(65\/8). Suppose 0 = -21*z + 23*z. Suppose 0 = -f - 5*p + 11, 0 = f - 4*p + 7 - z. Is w <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 379\/18 + -47\/2. What is the common denominator of t and (-251)\/(-12) - (-2)\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 285. Suppose 3*t + 9 = h. Let i be t\/6 - 16\/24. Solve -4*f - i*z - 26 = 0, 3*f + 0*z - 8 = 4*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2091392327 and 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 2*k**2 - 1402*k + 1402. Give s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 3*k - 11, 0 = -3*k + 3. Let a be (-5)\/5 + -4 + 9 + y. Solve -a*v + 0*v - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4691 - 4689. Calculate the highest common factor of 1126 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/8 + (-2)\/4. Let x(k) = -k**3 - 8*k**2 - 7*k. Let c be x(a). Suppose c = -l + 1 + 2. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(-2759 - 2244 + 4356) - 5 + 1 + 2)*(b**2 - 1 + 1).\nAnswer: 1292*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210 (base 4) to base 9.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 2*f, 0 = -w - 2*f + 3 + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16221 by 5407.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (436427 - (-13 - -6 - -7))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {u: 7, d: 3, c: 1, x: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28173.814 and 75837.6.\nAnswer: 104011.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. Suppose -5 = 3*n - 5*v, 3*v = d*v - 1. Sort n, -2, 2 in descending order.\nAnswer: 2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3386530 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 0.3, 41559, -0.01, 1\/7 in decreasing order.\nAnswer: 41559, 0.3, 1\/7, -0.01, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 + -114. Suppose -2*c + 464 = y*c. Calculate the greatest common factor of 174 and c.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:03 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 11*x**2 + 11*x + 9. Suppose -2*y = -7 + 3. Suppose y*k + 24 = -0*k. What is the tens digit of w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5491000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -57, -74, -75, -54?\n\"Answer: i**3 - i**2 - 31*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1175 - 2129 + 1165)*(4*z**2 - z**2 - 5 - 11).\nAnswer: 633*z**2 - 3376","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91806.77 years in months?\nAnswer: 1101681.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 232010?\nAnswer: 232023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*b + 16, -3*f - 4 = -f. Suppose 0 = 3*l + b*q - 2*q - 19, l - 13 = -2*q. Let w(x) = -x + 3. Let y be w(l). Solve 0 = -r - y - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2890*p + 2889*p - 25 = 5*t, 2*p = 5*t - 20 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*w - 42*w - 4*t + 9820, -5*t = -4*w + 9775. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 9. Let y be i(6). Let n be ((-4)\/20)\/(y\/5). Let l = 201.7 - 202. Which is the third smallest value? (a) 3\/5 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -612316, -612333, -612362, -612403, -612456, -612521, -612598?\nAnswer: -612687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 137291398\nAnswer: -137291373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 53818304?\nAnswer: 53818304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 7*h + 66, 6*h + 3*h + 15*t - 14*t + 82 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203715765 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 + 3150*b - 2480625 = 0.\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138\/145 + 952\/1305. Which is the second smallest value? (a) -3.7 (b) -0.1 (c) 0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 617, 615, 611, 605, 597, 587, 575?\n\"Answer: -o**2 + o + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/15, -3\/22, 3, 1\/513?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -20, 186 in decreasing order.\nAnswer: 186, 6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(((-1 + sqrt(2156)*-4)*6)**2 + 4).\nAnswer: -6209479 - 20160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15684, 16739, 18542, 21099, 24416, 28499, 33354?\nAnswer: 38987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24657111\/275 - -89662. What is the common denominator of -119\/100 and s?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589844 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 2*l**2 - 4*l**2)*(-l**3 + 2*l**3 - 2*l**3) + (4*l**4 - 4*l**4 + 2*l**5)*(-171 - 150 + 146).\nAnswer: -351*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 37 = o + 4*o, 4 = 2*k. Let v(y) = 11*y**2 - 3*y - 4. Let a be v(o). Suppose l - a = -l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -17 - ((-2 - -10) + -30).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k - 8. Determine o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 1561530572.\nAnswer: 1561530571.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a - 24 = -53*a. Suppose 0 = 3*k - a*k - 2*v + 2, -5*v - 22 = -k. Solve -w + 1 = -k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 74.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 1\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -196, 0.455, 2\/15 in descending order.\nAnswer: 1, 0.455, 0.3, 2\/15, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224796791?\nAnswer: 79, 2845529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*f + b + 1830, 2*f - 1830 = 5*b. Let r = f + -8227\/9. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 451, 10, 7.\nAnswer: -5, -1, 7, 10, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*(1701\/98)\/(-27)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/((-896)\/(-40)))\/(-5))\/((-10)\/24)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 28, -0.5 in ascending order.\nAnswer: -2, -0.5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448630?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 - 6808*f\/5 + 27552.\nAnswer: -4*(f - 20)*(f + 1722)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48625, -71433, -94241?\nAnswer: -117049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -3bd?\nAnswer: -3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqtl when four letters picked without replacement from dulqtdjtuqjt.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-11)*b)**24)**(5\/7) assuming b is positive.\nAnswer: b**(-1200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 59 - 1133 = -37*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 6 + 3)*(3*o - 3*o + 2*o) - 3*o + 3*o - o + 1 + 3*o - 1 + (3 - 1 + 0)*(0*o + 3*o - 2*o) + 1 + o - 1)*(3 - 1 - 5)*(6 + 0 + 0) as s*o + w and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 314193 + -4004193. What is x rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/8 - 15\/120. Suppose -2*v - 41 + r = 0. Let h = 52 + v. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8346, -8330, -8310, -8292, -8282, -8286, -8310?\nAnswer: -8360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*k + 2*d*x + 4*d - k - 45*x with respect to d.\nAnswer: 3*k + 2*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67411 is divided by 9346.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/5 (b) -2\/97 (c) 45.7 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 m, and 1 d when three letters picked without replacement from {k: 2, m: 7, z: 1, d: 2, t: 1, b: 2}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -80 - (0 - (1 + 0)). Let c = a - -213. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467292573 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -63*c**3 - 3*c**2 - 4*c + 7. Let t be d(-4). Suppose 3049 = -4*z - t. What is the common denominator of (4 - z\/(-176)) + 4 and -69\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1\/2, 5\/2, 5 in ascending order.\nAnswer: 1\/2, 5\/2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 3*z**5 + z**5 + (-6*z**2 + 5*z**2 + 0*z**2)*(-z**3 + z**3 + 2*z**3) - 2*z**5 - z**5 - 2*z**5 + (2*z + z - z)*(5 + z**4 - 5).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 + 6 - (2 - 2) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 91. Let b be (6 + 3 - 6) + 3 + d. Suppose -k - 182 = -b*i, k + 104 = 3*i + 3*k. What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**3 - m + 2. Let s be (-1)\/((21\/(-14))\/(-3)). Suppose -7*j = -3*j + 28. Let f(o) = -13*o**3 + 4*o - 7. Calculate j*u(l) + s*f(l).\nAnswer: -2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -596, -553, -506, -455, -400?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56980 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/10 in -200\/19, -3, -279, 0.5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 150 = 20*t. Let d(g) = -g**3 - 5*g**2 + 6*g - 5. Determine d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*f - 35*f - 18, p + 5*f = -30 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102321 + -310?\nAnswer: 1102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476720?\nAnswer: 2, 3, 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4214958 rounded to three decimal places?\nAnswer: -3.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 0 = -18. Let p(q) = q**3 + 2*q**2 - 8*q - 3. What is the lowest common multiple of p(a) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q**3 + 6*q**2 - 2*q + 1. Let o(r) = r - 1. Let s(f) = -4*o(f) + w(f). Let z(h) = 7*h**3 - 5*h**2 + 5*h - 4. What is 5*s(a) + 6*z(a)?\nAnswer: 2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d. Suppose 2*c + 2*q = 8, 3*q + q = -2*c + 6. Suppose -4*v + 2*o + 212008 = 0, d = 5*o + 15 + c. Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8625 + 0.9625. Which is the closest to 0.703? (a) z (b) 2\/3 (c) -2\/5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -351*j**2*t**2 + 273*j**2 - 3*t**2 - 10378*t wrt j?\nAnswer: -702*j*t**2 + 546*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x = 38*x - 5*q + 6, -q + 6 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 53*x. Let d(g) = -g. Let j be d(-2). Suppose x = -j*f + 10 + 26. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 20*a**2 + 66*a - 27. Let t be g(16). Let k be 1\/(-6) + t\/30. Solve -7*d + 8*d + 3 = k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 31*u**3 + 1165*u**2 + 674*u + 305. Calculate f(-37).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8063\/((-1 + 4)\/(-3)). Let o be u\/10 - (-1 + 1). Let r = o + 800. What is the common denominator of -93\/8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -17. Let j = -26.5 - g. Let n = -243\/5 + 48. What is the closest to j in 1\/10, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -6*r + 3. Let o = -2 - -7. Suppose -o*m - 4 = -3*w + w, 0 = r*w - 4*m - 6. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 - 275.65. Let h = g + -0.34. Which is the third smallest value? (a) 2 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01608154 to 5 decimal places.\nAnswer: 0.01608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from qqqqvqxvxqvqxqqqqqxq?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.32 + 7.18. Let o = p - 9. Let i = o + 1.5022. What is i rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) - (1*sqrt(847) + 3)) + sqrt(847) + (sqrt(847) - (-2 + sqrt(847) + -2*sqrt(847) + sqrt(847))))*-4)**2.\nAnswer: -704*sqrt(7) + 54224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (1 - 0 - 3)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/141)\/((-20)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/25*3\/(-216)*-12\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y*(y**(2\/5)\/y)\/y)\/y)\/y)\/y*y)**(-8\/15)*(y*y**1\/y)**(-2\/97))**30)**(-14) assuming y is positive.\nAnswer: y**(-278264\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590210 is divided by 399.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/10 + 3*d**3\/2 + 38*d**2. What is the derivative of w(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(108)*-1 - (sqrt(120) + (sqrt(120) - (sqrt(120) - (sqrt(120) + (sqrt(120)*-1 + sqrt(120) - sqrt(120))))) - sqrt(120))\/sqrt(10).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 9*r**2 + 11*r - 6. Let k be p(10). Let l = 2 - k. Let j(q) = 2*q**2 + q + 2. Let d be j(l). Solve -5*a - d = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 77*w**2 - 66*w. Let d(y) = 6*y**2 - 5*y. Let v = 4719 - 4653. Determine v*d(b) - 5*h(b).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.1 - 931.1. Let a = -917.302 - f. Let h = a - -5.2. Round h to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(sqrt(13) + -1)**2 + (sqrt(65)*-1)\/sqrt(5).\nAnswer: -3*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100430 - 100430 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -22 (c) -16 (d) 0.01 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23944639363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-50))\/(2\/(-7690)). Suppose 4*b - 3399 = -f - 313, -2*b - 3*f = -d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81818640 divided by 72?\nAnswer: -1136370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 4*p**2 + 8. What is i(4)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 117*c - 117. Give t(116).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.44 - 56.5.\nAnswer: -57.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*sqrt(98)*-1 + -2)**2 - 4*(sqrt(288)*2*-2 + 3).\nAnswer: -298*sqrt(2) + 2487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (3 + 0 - 1)*(1 + 2 - 5) + 0 + 6 - 4 + 2 - 3 - 1 + (19 - 8 - 30)*(-100 - 138 + 277))*(-3*b - b + 2*b).\nAnswer: 1494*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v + 25*v + 48 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 60 = 9*j. Let q = 18 + -2. Let v = j - q. Sort 3, v, -3 in increasing order.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15813 plus -0.17478?\nAnswer: 15812.82522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 0\/(-2 - -3). Find the common denominator of -101\/2 and 1\/(-3) + 85\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 6398.\nAnswer: 1\/914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/42*-3*14. What is the highest common factor of s and 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2*-1)\/4)\/(72\/180)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-3 + 6)) + -1 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m + 1. Determine b(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3\/5 + 6164*d**2\/5 + 85384*d\/5 - 195456\/5 = 0 for d.\nAnswer: -1527, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56203731.\nAnswer: 3, 6244859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 9*j - 3. Give x(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w - 35*w + 76 = 45*w. Solve -5*a - w*b + 19 = 41, 0 = a + 2*b + 2 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2423 (base 7) to base 5.\nAnswer: -12044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15\/2584 - 477\/1292. What is the biggest value in p, -2, 1177?\nAnswer: 1177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102040181 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29983?\nAnswer: 29983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 + 2*k + 11. Let s be b(7). Suppose 180 = -4*l + 16. Let u = l + s. Is u at least as big as 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 275, -148, -3\/4, -1, 1, 5?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5455 + 10544. Let g = -2389 + t. What is the units digit of (-20)\/35 - g\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*a = -100*a + 215. Let d(w) = w**2 + 11. What is the remainder when a is divided by d(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26035 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*x**2 + 15*x**2 - 71*x**2 + x**3 - 18*x**2.\nAnswer: x**3 - 141*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-18)*h)\/h)\/h)\/h**(-3\/17) assuming h is positive.\nAnswer: h**(-320\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-20)*-1*-28. Let z be ((-315)\/(-49) - 3)\/((-2)\/i). Suppose -32*f = -28*f - z. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 8877788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 37. Let f be y(7). Factor 6*w**2 - 24*w + 27*w + 0*w**f + 84 - 3*w**2 + 45*w.\nAnswer: 3*(w + 2)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.82 + 0.18. Let i = 16.05 - l. Let j = i + -2.05. Which is the third smallest value? (a) -1\/3 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc8cb (base 16) to base 2.\nAnswer: 10111100100011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 869369831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000127602447 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3790284 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 20 = 3*i. Let x(n) = i + n + 2 + 3. Let z be x(-6). Solve -10 - 10 = z*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(225)*5)\/sqrt(9) - sqrt(25)))\/(-1*sqrt(605)*-4))**2.\nAnswer: 5\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 v, and 1 c when four letters picked without replacement from {v: 4, c: 5, w: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -3a7a9a?\nAnswer: -3a7a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-3\/5)\/u*u)))**(-1\/6))**(-34) assuming u is positive.\nAnswer: u**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 2*s**2 - 2*s + 2. Let z be c(3). What is the third derivative of -3*x**2 + 2*x**z - 5 + 0*x**2 + 5 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2 and -12\/70327.\nAnswer: 140654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 40 (c) -51 (d) -7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 13*o + 22. Let f be r(11). Suppose f*d - 3*d = -18. Factor 2*n**3 + 9 - d*n**2 - 2*n + 6 - 9 + 0*n**2.\nAnswer: 2*(n - 3)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767412*n + 383707*n + 383712*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 13, 3 in descending order.\nAnswer: 45, 13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m**2 - 35*m + 21. Let n(s) = -14*s**2 - 34*s + 22. Let i(q) = -3*d(q) + 4*n(q). Let f be i(-6). What is the highest common divisor of 899 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 561 + -2239\/4. Determine u, given that 1 + l*u**2 - 2*u - 1\/4*u**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + d + (6 - 2 - 3)*(-2*d - 2*d + 2*d) + 4 - 4 + 8*d - 3*d + d + d)*(-6*d + 9*d**4 + 6*d).\nAnswer: 63*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.014 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + (sqrt(175) - ((sqrt(175) + sqrt(175) + -1)*-4 - sqrt(175))) + sqrt(175) + sqrt(175) + sqrt(175) + 1 + 0)**2.\nAnswer: -910*sqrt(7) + 29627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a + 20. Suppose 31045*k = 31033*k - 84. Are k and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36766 + 1412494?\nAnswer: 1412494.36766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126018836?\nAnswer: 2, 149, 211441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373961*r**5 - 265*r**4 - 412293*r**2 - 243.\nAnswer: -22437660*r**2 - 6360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 20*b**2 + 20*b + 26. Let r be w(21). Suppose d - 2*k = k - 4, -r*d = -5*k. Solve -3*q = 4*x - 25, 3*x = 6*q - d*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*h + 127 = 5*h, -4*x = -3*h - 299. Let v = 134 - x. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209287 - 209283. Let 3\/2*a**5 + 0 - 9\/4*a**2 + 3\/2*a**3 + 21\/4*a**q + 0*a = 0. What is a?\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k - 15, 3*u - 1386 = -k. List the prime factors of u.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99034 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9444411*c**2*j + 3*c*j + c + 143494*j - 2 wrt c.\nAnswer: 18888822*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 - -344. Let p = -763 - -766. Suppose -p*y + 0*y = -u. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(448) + -1.\nAnswer: 4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 201.341?\nAnswer: 60.4023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -7*g**2 + g - 58. Let o be 0\/(0 - -2) + -2. List the prime factors of q(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5027*b**3 + 7128 wrt b.\nAnswer: -15081*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47779, -46278, -44777, -43276?\n\"Answer: 1501*z - 49280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89864 or -89423?\nAnswer: -89423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16370835 - -327329483\/20. Let o = l + 4358. What is the common denominator of (-17)\/12 + 0 - 1 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343) + -3)**2.\nAnswer: -70*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3574717 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3 - 12*m**2 - 10*m = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose -d + 3*p = 2, -d + y*p - 1 = 2*d. Let v be (-31)\/(-11) + (-8)\/(-44). Solve v*f - 8 = d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00664242 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3987?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20032023 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = 1. Let h be 6 - (1\/1 + m). Suppose h + 16 = 5*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - -1) + 3 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by 247?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2)\/((4 - 7) + 0). Let b(n) = n**3 + 28*n**2 + 194*n + 23. Let s be b(-12). What is the fourth smallest value in s, o, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*v - 7*v - 610 + 15 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**1))**(-38)*(k**(2\/3))**13)\/((k\/k**(2\/11)*k**(1\/3))\/((k*k\/k**(-1\/4))\/k**(4\/3))) assuming k is positive.\nAnswer: k**(-1301\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssttsstsss. Give prob of sequence ts.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + 136. Let x = u + -141. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -213987?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6714565 years?\nAnswer: 8.057478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 1. Let h be (-12)\/(-8)*8\/12. What is q(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2426\/5 or 485?\nAnswer: 2426\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:19 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*f = 1476, -2*g - f - 2*f + 1480 = 0. Suppose 749*c - 174237 = g*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, d: 5}. What is prob of picking 1 i and 2 d?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -170*p - 106. Let n(r) = -12*r - 3. Give -j(u) + 14*n(u).\nAnswer: 2*u + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0.12, -3, 5, 263 in ascending order.\nAnswer: -3, 0.12, 5, 16, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 609235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6346337, -25385334, -57116995, -101541320, -158658309, -228467962?\n\"Answer: -6346332*u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -3)\/((-60)\/40). Let x be (-1*1\/o)\/(250\/(-100)). Let g = 0 - 0.1. Which is the biggest value? (a) g (b) 17 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3) + 0 + -17. Let i = r + 36. Calculate the remainder when 78 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 2. Let t be d(-5). Calculate the greatest common divisor of t and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25754\/3 - 8584. Let u = 368\/143 + -30\/11. Which is the nearest to 1? (a) u (b) y (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0779149 millennia in months?\nAnswer: 934.9788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 27. Suppose -13*y = -2 + 132. Let n be k(y). Solve -4*q + n*j - 19 = 0, -3*q - 19 = -3*j - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082668117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -404*s**4 - 29*s**2.\nAnswer: -9696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 10. Let a be b(-10). Let z(x) be the first derivative of -1\/2*x**4 + a*x - x**2 + 3 - 4\/3*x**3. Let z(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15514 or -787?\nAnswer: 15514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhhyy. Give prob of sequence yyyh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4*(-9)\/6)\/((-2)\/(-88)). Calculate the greatest common factor of h and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239922419299412 - -239922333498048.9999956. Let w = y + 85801324. Let l = w + 39. Round l to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*i**2 - 3)*(1366*i + 158429 - 158429) + 2*i**3 - 4*i**3 + 4*i**3.\nAnswer: -5462*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3. Let s(r) = 1. Let f(a) = -b(a) + s(a). Let t(n) = n - 11. What is -8*f(p) - 3*t(p)?\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*o**6 - 12372170*h*o**3 - 22*h*o**2 + 4*h*o - 8*h - o**2 + 23*o + 2 wrt o?\nAnswer: -240*h*o**3 - 74233020*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.65? (a) -2 (b) 0.4 (c) 1\/3 (d) -113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 145*b + 24. Let y(o) = 7104*o + 1184. Let i(f) = -148*j(f) + 3*y(f). Let a(d) = 3*d**2. What is i(a(l))?\nAnswer: -444*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -26. Let h(a) = 17*a**2 - 5. What is the units digit of h(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/(4\/(-6)). Let d(s) = -s + 1. Let h(v) = 7*v - 6. Let f(g) = -6*d(g) - h(g). Let q(x) = -5*x. Determine w*q(p) + 2*f(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 380315939 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: Collect the terms in -179 - 10*t**2 + 179.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 815936 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(11\/(-3)) - (102 + -62).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 - 10*h + 5\/6*h**5 - 95\/6*h**3 + 70\/3*h**2 + 5\/3*h**4 = 0.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 122, 0, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/29811 and 47\/3673029.\nAnswer: 69787551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 6*s + 3. Let v(l) = l**2. Let p(a) = 2*v(a) + w(a). Calculate p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 18*h**3 + 6 + h**3 - 11.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12790800 and 24320.\nAnswer: 204652800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -367 and 5.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 464796 and 24.\nAnswer: 929592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 290882235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let r(g) be the third derivative of 0 + 0*g + g**2 + 0*g**3 + 1\/24*g**4. Calculate l(r(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -754 + 753.9667. Let c = -20.036 - -20. Let d = r - c. Round d to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, y: 2, p: 1, l: 1, r: 1}. What is prob of sequence vr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 447*p**2 - 6448*p - 21796165?\nAnswer: 894*p - 6448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 11468*b\/3 + 989230\/3.\nAnswer: -2*(b - 5819)*(b + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 0)*(-3 - k + 3) to x*k + i and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1251 - -4.8749. Which is the smallest value? (a) 0.1 (b) 96 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955587 to the power of 1\/2, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 24*g + 21 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25568 divided by -6\nAnswer: -12784\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13124 is divided by 1455.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266479928 is divided by 7957.\nAnswer: 7955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411\/2*((-4)\/4 - -3).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 513 - 508. Put 62, -2, -1, s in increasing order.\nAnswer: -2, -1, s, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54326073.\nAnswer: 3, 19, 83, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 7*q**2 + q + 18. Let h(x) = -x**3 + 3*x**2 - x - 9. Give 3*a(g) + 7*h(g).\nAnswer: -g**3 - 4*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 1 - 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 117887250 and -1.57.\nAnswer: 117887248.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7226*o + 2403*o + 5*o**2 + 2400*o + 2414*o. Let v(z) = -9*z**2 + 17*z - 1. Give -3*v(c) - 5*x(c).\nAnswer: 2*c**2 - 6*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 9*b**2 - 7*b + 8. Let i be k(-8). Suppose i = 2*a + 2, 0*z + a - 2 = -z. Calculate the least common multiple of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654173607?\nAnswer: 3, 743, 293483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 5.3. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -5 + 4 - 11) + (-2 - (14 + -11))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/185 (b) -0.4 (c) -291 (d) -2 (e) 0.1 (f) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*b**2*d**2 + 39*b**2*d*p - 387*b**2 - 2485615*b*d**2 + 4*b*p + 2*p wrt b.\nAnswer: 112*d**2 + 78*d*p - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*n - 50*n = 181532. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(5\/4)))\/w)\/((w\/w**(4\/5))\/w)*w**(-11)\/(w\/(w\/(w*(w*w\/(w*w*w*w\/w**(2\/11)*w))\/w))) assuming w is positive.\nAnswer: w**(-2119\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let k be (-1 - -2)*1 - 1. Let y be 10\/8 - 31\/2852*23. Sort k, f, y in decreasing order.\nAnswer: f, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18471 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*d + 2780 - 2670. Which is the closest to -0.02? (a) d (b) 3\/16 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(72) - 4*(sqrt(72) - (sqrt(72) + 2*sqrt(72) - sqrt(72)) - sqrt(72)) - sqrt(72)) + sqrt(72))**2.\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 0, 2*n + 4*x = -2*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**3 + 260155*o**2 + 975300*o.\nAnswer: 5*o*(o + 13004)*(4*o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from yseecsheehhehhh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -30*s**3 + 11*s**2 + 63*s + 102. Calculate x(-3).\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339739 by 4.\nAnswer: -339739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 3. Let l = 6 - -1. Let o be q(l). Let t be (0 - 1)*o*3. Solve 2*s = 6*s - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*p - 3*b, 7*p - 25 = 3*p + 5*b. Suppose p = -4*g + 5 + 7. Suppose 208 = k + g*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -99916\/3 smaller than -33306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*m + 2*m**2 + 4459 - 751*m + 246*m - 1537 + 251*m.\nAnswer: 2*m**2 + 2922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38124110 and 5580?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (8 + -19) - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17791919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/3 - 10545*o**3 + 4832089*o**2\/3 + 4926985*o = 0.\nAnswer: -31787, -3, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36871867 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 4. Let w(v) = -4*v + 15. Let i(t) = -22*d(t) - 6*w(t). Give i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -0.0542 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18839.260067 - -18836.96. Let q = -231 + 233.3. Let d = g + q. Round d to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 4, 5, -1287, 25 in decreasing order.\nAnswer: 52, 25, 5, 4, -1287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 8*a + 107. Let l be y(15). What is the second derivative of 5*w - 28*w**2 - l*w + 1 + 44*w**2 + 42*w**2 wrt w?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -172211.23 to the nearest one hundred.\nAnswer: -172200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 1)*(7*u**4 - 4*u**4 - 5*u**4)*(3 + 0 - 6)*(-6*u + 2*u + 0*u).\nAnswer: 192*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from {t: 1, n: 1, e: 1, d: 8, l: 1, c: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 3 - 2)*(5 - 3 + 10) - 2 + 5 - 4)*(t - t**3 - t) in the form y*t**3 + l*t**2 + x + m*t and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-126)*-111 + -5 - 132366\/(-14)?\nAnswer: 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*n + 239996, -3*f - n + 95999 = -f. What is f rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0.4, 2\/201, 1, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -611430426 divided by -3093?\nAnswer: 197682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*b - 210, 148*b - 15 = 145*b. What is the remainder when 1552 is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -890 divided by 3829\nAnswer: -890\/3829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 112*o**2 + 28*o - 3. Let n = -341 + 344. Let g be s(n). What is the greatest common divisor of g and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 3*m + 33, 0 = -c + 229*m - 116*m - 119*m + 45 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2. Let d be 9\/18 - 5\/(-2). Let n(i) = -2*i**3. Determine d*w(t) + 2*n(t).\nAnswer: -t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:23 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63333 = 1703*o + 340*o for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01515 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c + 52 - 52)*(2 + 2 - 5) + 7 + 492*c - 244*c - 241*c as l + q*c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5115, 5111, 5105, 5097, 5087, 5075?\n\"Answer: -c**2 - c + 5117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(19) - (sqrt(171) + -1)) + 5 - (3 + -1*sqrt(475) + 0))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 = -d, d - 2*o = -0*d + 13. Suppose -3*a - 43 = -5*j - 0*a, -d*a - 13 = -j. Calculate the greatest common divisor of j and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g - h, -3*g + 2*h - 51 = -6*g. Let q(x) = -15*x**2 - 8*x**2 + g*x**2. Let j(c) = 2*c**2. Give j(q(o)).\nAnswer: 128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 4*m - 1. Let v be z(3). Solve 3*w - t + 20 = 0, -5*w - 2*t - 5 = v*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 680.737 - -0.063. Round a to the nearest ten.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114711 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80495.7 meters to nanometers.\nAnswer: 80495700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 654 and 416271?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 6*k + 11, 3*k + 4*s = -8 - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 16 = s. Suppose s*p - p = 3. Let l = 5 + p. Calculate the smallest common multiple of l and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1189*i + 709895. What is o(-597)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 118, 53, 35 in increasing order.\nAnswer: -4, 0, 35, 53, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-5)\/(-60)). Let g be 2\/(-4) + 36\/(-8). Put g, p, -3 in decreasing order.\nAnswer: p, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 10. Determine r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1698 and 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3394.924 hours?\nAnswer: 12221726400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = 31 - 136. Let h(k) be the third derivative of -k**4\/8 + k**3\/2 + 4*k**2. Let m(a) = -a + 1. Calculate q*m(z) - 2*h(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {c: 1, r: 1, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 679?\nAnswer: 679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -659 + 509. Let x be ((-3)\/6)\/(25\/t). Solve -2*g = x*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1365?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32083898 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m + y + 16, 4*y = -m + 13. Sort 0, m, 2 in descending order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 198.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1584) + -5 + sqrt(1584))**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1)\/b*b)**(-18))**31 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r + 3. Suppose v = i + 3*i - 9, -4*v = -i + 21. Suppose 4*x - 8 = -4*h, h - 19*x + 24*x - 14 = 0. Sort r, h, v in increasing order.\nAnswer: v, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28a - -9f?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4538.5 * 19.08.\nAnswer: -86594.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 6*o**2 + 5*o + 7. Let a(g) = g + 2. Let f be a(5). Let l be x(f). Let w = -5 - l. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/35 greater than or equal to -5\/456817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501.1255 grams to nanograms.\nAnswer: 501125500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 388045 and 144131?\nAnswer: 5044585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 - 10*o + 32. Let s(z) = 9*z**2 - 10*z + 33. Let i(a) = -4*f(a) + 5*s(a). Calculate the remainder when 47 is divided by i(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 4*h - 5*h + (-5 + 2 + 1)*(-3*h + 32 + 5*h + 26) as j*h + v and give v.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 35*z**2 + 36*z - 59. Let s be g(34). Let m be 5\/(-18 + 3)*-1*s. What is the greatest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10))\/((-2)\/(-3)). Let i = 0.4 - 0.5. Let x = 14.728 + -14.228. Which is the closest to 5? (a) x (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69495 - 486464\/7. Determine r, given that -5\/7*r + 4\/7*r**2 - c*r**3 + 2\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -z, -4*z - 1 + 3 = 2*n. Suppose 0 = n*w - 8*w + 5*i, 0 = -3*w - i. Let t be 1*(w + 0 + 1). Let y(u) = u**3 + 2*u - 1. Determine y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/209 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -17. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15143779, -30287532, -45431285, -60575038, -75718791, -90862544?\n\"Answer: -15143753*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 29*k**2 + 24*k + 6. Is j(29) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105117765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16574.13 - -16653. Let q = 79 - z. What is the closest to 0 in 5, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 649445.9 micrometers?\nAnswer: 649445900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 8. Suppose -17*p = -13*p - 20. Let b be o(p). Suppose -1\/6*h**4 + 0 - 4\/3*h**2 - 2\/3*h - 5\/6*h**b = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1379, -1, 1 in decreasing order.\nAnswer: 1379, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/6 + 584*w**2\/3 + 2327*w\/2 + 1743 = 0.\nAnswer: -1162, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y - 1. Let q(n) be the third derivative of n**5\/15 + n**4\/24 + 90*n**2 - 6*n. What is q(u) - 2*t(u)?\nAnswer: 2*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/187? (a) 3\/20 (b) -6\/13 (c) -0.1 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -4, -0.3, 0.6, 10, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84920 divided by -11.\nAnswer: 7720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14837 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -81*z + 135. Let x be l(2). Let k(f) = f**3 + 28*f**2 + 26*f - 47. Determine k(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -11*p - 5, -15*k + 26*p - 31*p = -35 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/((-10)\/4 + 1)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 2*l**2 - 59. Let i be d(0). Let m = i + 100. Let j = 44 - m. Let a(p) = 4*p - 4. Let w(y) = -5*y + 5. What is j*a(x) + 2*w(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -2\/3*a**3 + 0*a - 5\/24*a**4 + 5*a**2 + 0. Does 8 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 9*d**2 + 4*d - 27. What is the smallest common multiple of u(9) and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = d - 0*d. Suppose j - 43 = -0*f - 5*f, 4*j = -2*f + d. Calculate the common denominator of 127\/6 and 13\/6 + (-3)\/j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from cimmhhhjwchhchhcmjmh?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -326. Suppose -248*o = -w*o - 540. Calculate the smallest common multiple of o and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 1, c: 4, r: 2, m: 2}. What is prob of sequence hym?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 2*u + 3. Let o be z(-2). Let y = o - 5. Let x be (-4)\/y - 24\/(-9). Is 3 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6523676 to the power of 1\/2, to the nearest integer?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 19*z + 28. Let l be g(20). Suppose -3*t + 3*b + 36 = l*b, -3*b = 2*t - 23. Suppose 0 = -t*j + 417 + 192. List the prime factors of j.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5409405 or 5409451?\nAnswer: 5409405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2\/11, -0.5, 1\/26, -11?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, q: 5}. What is prob of sequence qqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*a - 14773366 - 1638*a + 14773369.\nAnswer: -1889*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1485931, 1485933, 1485935?\n\"Answer: 2*b + 1485929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - x + 6 = -6*h, -x = 0. Let i(l) = -l**3 - 3*l**2 - 2*l. Let v be i(h). Suppose -5*w = n - 24, 4*n + 13 = 4*w + 37. Solve v = 2*o - n - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 6324941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427098 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -0.5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 3*p + 6. Let i(w) = 6*w**2 + 5*w + 11. Let y(o) = -6*i(o) + 11*t(o). What is the second derivative of y(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 82189810.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 194549\/3 or 64849?\nAnswer: 194549\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*f + 8 = -7, 3*f = 3*x - 45. Suppose 20 = 10*o + x. Let n = -428\/1449 + 2\/207. What is the closest to o in n, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2935 is divided by 779.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 56*r + 1. Let f be u(56). Let v be 0\/((0 - 0) + 1). Suppose w + 3*j - 10 = v, 0*w - j - 20 = -3*w. Solve 2 = 2*k, -f = 3*m + k + w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f - 1. Let s(h) = -354*h**3 + 6*h - 416. Let k(v) = 3*b(v) - s(v). What is the derivative of k(w) wrt w?\nAnswer: 1053*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1796, -1749, -1672, -1565, -1428?\n\"Answer: 15*p**2 + 2*p - 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10919840 a multiple of 1818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b11 (base 15) in base 14?\nAnswer: 3521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1584 and 97\/6.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113014010214 - 1?\nAnswer: 113014010213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 19. Let r be n(-16). Let j be (-2 - -9) + r - -4. Solve -2*c + 13 = 5*v - 0*c, -4*v = c - j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -16691?\nAnswer: 16687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*v + 531*v - 12 = 4*q, 3*v - 3*q - 3 = 0. Which is the nearest to 0.2? (a) -63 (b) 2\/17 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1980 and -47\/1016532.\nAnswer: 5082660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) -32 (d) 6628 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1963, 4203, 6451, 8707, 10971?\n\"Answer: 4*y**2 + 2228*y - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 4. Let q be f(6). Suppose 5*c = -w - 16, -2*c = -5*w + q*c + 36. What is the third derivative of o**2 + 0*o**w - 2*o**4 + 0*o**2 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1363 - -77695\/2726. Suppose 0 = -11*l + 248 + 60. Let f = l - u. Is 1\/4 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*n**3 - 41*n**3 - 8 - n + 90*n**3 + 6*n + n + 6*n**2 wrt n?\nAnswer: -12*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13300022010 (base 4) to base 10\nAnswer: -2032260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4 = -3*m + 10, -2*m + 6 = -r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (30\/25)\/((-2)\/(-155))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -120, 60, -2, -101, -3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3 (c) 9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595, -1198, -1779, -2326, -2827, -3270, -3643?\nAnswer: -3934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by 5?\nAnswer: 417\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z. Let k(q) = -7*q**2 + 2. Let j(h) = -168*h**2 + 49. Let t(r) = -2*j(r) + 49*k(r). Give t(b(a)).\nAnswer: -567*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2739 = -4*s - 949, 5*x = -s + 453. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 6*g**2 + 16*g + 10. Let o(i) = i**3 - 9*i**2 + 2*i + 21. Let l be (18\/5)\/(12\/30). Calculate the remainder when o(l) is divided by z(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 l when three letters picked without replacement from {w: 2, l: 8, g: 7, f: 1, q: 2}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5024 + 5030. Let u(y) = -26*y + 7. Let z(h) = 9*h - 2. Determine m*u(l) + 17*z(l).\nAnswer: -3*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 12. Let q be v(12). Let d = q + -45. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 103*w - 4. Let a be f(5). Suppose -2*s - 2*d - d = -a, 4*s - 1047 = -d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:08 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*u + 151*u = -285*u + 21339360. What are the prime factors of u?\nAnswer: 2, 3, 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1443?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(3)) - sqrt(3)*2*-3.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -15*t**2 + 20*t - 38. Determine c(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.45 - -44.05. Suppose 4*v + 30 = 7*v. Let q be ((-4)\/v)\/(-13 + 12). Which is the fourth smallest value? (a) i (b) 5 (c) q (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from rrbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 18186593?\nAnswer: 18186592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 3*i**7\/70 - i**3\/6 + 12*i**2. Differentiate f(j) wrt j.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2069, 5725, 10963, 17783, 26185?\nAnswer: 36169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 355277.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4986 (b) -4\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2772 divided by 924.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -902 divided by -1.\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 8. Is 17 a factor of 151 + a - (-3)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1036*k + 4532 wrt k.\nAnswer: -1036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -175*l + 284. Determine s(0).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 1. Let s be u(-3). Suppose h = -3*a + s + 2, 0 = -a - h + 5. Suppose 3*m + 18 = a*y, -m - 5*y + 6 = -5. Is -5 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-42)\/(-4) - 13)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/5 of a century?\nAnswer: 16080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (27714\/(-12447) - 1). Let q = -2\/461 + c. What is the third biggest value in 0.1, q, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575) - 2*sqrt(1575)) + sqrt(1575))\/(sqrt(9) + (-1*sqrt(324) - sqrt(324))) + 5 + -3 + -3*sqrt(1008) + (-3 + sqrt(1008) + 0)**2.\nAnswer: -108*sqrt(7) + 1019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 divided by -2.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/(-4) - (-6)\/12. Solve -b - 1 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 80 = -5. Let q(m) = 7*m**2 + m. Let p = -146 - -148. Let h be 6*p*((-11)\/(-2))\/11. Let k(y) = -20*y**2 - 3*y. Calculate h*k(a) + u*q(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -2, 9.\nAnswer: -2, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Let f(j) = -j - 7. Let p(l) = l + 1. Let i(x) = 2*f(x) + 14*p(x). What is i(y(t))?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 2*p = 78. Let s(y) = -26*y + 15. What are the prime factors of s(p)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 586 + -581. Solve 0 = 4*y - 9 + q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 3*g - g)*(-6057 - 681*g + 6057)*(0*g**2 + 0*g**2 + g**2) to c*g**4 + z*g**3 + x*g + d*g**2 + l and give c.\nAnswer: -2724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 10 = 2*v, -20*v - 14 = 2*h - 15*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100, 435, 988, 1753, 2724, 3895, 5260?\n\"Answer: -y**3 + 115*y**2 - 3*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/9, -0.4, -13.4 in increasing order.\nAnswer: -13.4, -1, -0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 27. Is (-6)\/9*1737\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u + 35. Calculate w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 244 + 44. Let y = l - -148. Solve -y*u + 5*v - 8 = 0, -v + 0 = -2*u + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224849.28377 + 0.1?\nAnswer: -1224849.18377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - 0 - (4 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1782*i*z**6 + 252*i*z**2 - i - 2*z**6 + 6*z wrt z.\nAnswer: -213840*i*z**3 - 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {n: 2, j: 5, l: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 25 + 6*z - 54 - 2 - 3*z to the form g + k*z and give g.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 - 95 = 3*i. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/552 and -1\/208.\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1392, 5, -2, -1490, 3 in ascending order.\nAnswer: -1490, -2, 3, 5, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -8. Let z(u) be the third derivative of -u**6\/120 - u**4\/24 + 105000*u**3 - u**2. Let y be z(t). Round y to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-21))\/(8\/28). Let o be (1 - 1)\/(b + -3). Suppose l + o + 5 = -4*p, 3*l - 7 = -p. Solve -2*u + 2*q + 4 = 8, 2*q + 1 = -l*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-45)*5\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 11?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 154 + -143 + (-19 - 2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322 and 1783443.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 2:49 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31101 - -31101. Let t(z) be the first derivative of 0*z**5 - 1 - 4\/3*z**6 + 0*z**4 + 0*z**2 + 19\/3*z**3 + j*z. Find the third derivative of t(l) wrt l.\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 787 + -732. Let l be 36\/66 + 1070\/a. Solve l = 3*s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/15 + 5\/(35\/(-21)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -266894600 to the nearest one hundred thousand.\nAnswer: -266900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-1248)\/20020*-11?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*u**2 + 16981 + 16*u + 10*u - 16982 as c + p*u**2 + q*u and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.265 + -0.035. Let z be 0 + (0 + 2 - 6). Let t be z\/(20\/(-17)) + -3. Which is the nearest to 0? (a) 2 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -2*n**3\/3 + n**2 - 2*n + 6. Determine w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 2. Is q\/(-12) - 22\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13385 - 2995*v**2 - 26774 + 13386.\nAnswer: -2995*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 39*o**2 - 66*o.\nAnswer: -3*o*(o + 2)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-35)\/(-15))\/((-1)\/(-6)). Suppose z*s = 12*s. Which is greater: -2\/111 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13662, 940, -11782, -24504, -37226?\nAnswer: -49948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22775000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.92, 2.4, 5, -0.7, -3, -5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 134*s**2 + 1208*s - 22. What is o(-9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -119.1 and -26.58.\nAnswer: -145.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.071031 less than -5488?\nAnswer: -5467.928969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186 - 9322*h + 9323*h + 695)*(0*h + h + 0*h).\nAnswer: h**2 + 881*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.0324, 4, -2\/3, 0.12, -21?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2453*r + 100*r - 56472 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-450) + ((-1166)\/15)\/(-2). Let c = k - 21. Let g = 153 - 151. What is the highest common factor of c and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + v - 4 + (12*v - 23 + 23)*(88 - 31 + 117) + 4 - 4 + v.\nAnswer: 2090*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92542792?\nAnswer: 2, 373, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 17*n**3 + 10*n**3 + n + (n**2 - 11*n**2 - n**2)*(0*n + n + 0*n).\nAnswer: 17*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/85728 and 101\/28576?\nAnswer: 85728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 13*l + 15. Let d be i(-15). Let s be (24\/30)\/(3\/d). Suppose -3*m - s + 3 = 0. Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 15*t - 43*t**3 + 13 + 17*t**3 + 24*t**3 - 8*t**2 - 3*t**2. Let c(r) = -4*r**2 - 7*r + r**3 + 9*r**2 - 7 + 0*r**3 + 1. Determine -13*c(m) - 6*i(m).\nAnswer: -m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b + 17 + 7*b**2 + 67*b - 48. List the prime factors of a(-15).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 + 1307*w**2 - 395*w - 3898. Determine v(-187).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -69 and -3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3519*k - 17 = 3514*k, -f - 10 = -4*k. Solve -5*x - c = -13, -8*x + 5*x - f*c + 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-8759234705\nAnswer: -8759234702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1281895*s. Let h(p) = -7*p**2. Determine h(q(o)).\nAnswer: -11502783537175*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 - 37 = 0. Let z be 6\/(-4)*(b + -3). Let d = 14 + z. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + z - 5306 = 6555, -3*z - 19759 = -5*t. List the prime factors of t.\nAnswer: 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/300 - b**5\/75 - b**4\/4 + 12*b**3\/5 - 423*b**2. Factor y(h).\nAnswer: 2*(h - 3)**2*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2097 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20248092101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 3585*v + 380142 = 0. What is v?\nAnswer: -1293, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/27)\/((-5)\/(-5)). What is the closest to -0.1 in -2, f, 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by ((-39)\/(2457\/168))\/((-12)\/54).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 25580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/22 and 79\/166?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 145, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1121 + -0.2121. Which is the third smallest value? (a) 4 (b) j (c) -3\/8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196 + 238. Let a = -2974 + 12063\/4. Let w = a - m. Sort w, 0.1, -2 in descending order.\nAnswer: 0.1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 73 = -25. Let k = i + -24. Let j be (-6)\/(-8) - 34\/k. Solve j*y = y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 33214*l\/11 + 26965712\/11.\nAnswer: 2*(l - 15751)*(l - 856)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12333 + -302?\nAnswer: -13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 8*s - 9*s - 3*m - 47, -4*s + 5*m + 215 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i**(-1)*i*i)))**(-12)\/((i\/(i*i\/(i\/(i\/(i**1\/i)))))\/i)**(-29\/3)*((i*i*i**(2\/7)*i)\/i**3)\/(i*i**(-1)*i)**(1\/21) assuming i is positive.\nAnswer: i**(-1157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1576)\/(-2364))\/((-1)\/(-3)))\/((-1 + 2)\/18).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9506673l in millilitres?\nAnswer: 950.6673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1074 - -3360?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c9d - 17?\nAnswer: -1cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 x when four letters picked without replacement from xznzttxeeueeeennxze.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 452 + 10826 = 0. Let a = n - 986. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 2. Let u be g(6). Let v be (8\/u)\/(2 - 0). Let d be 1*v\/1 + 3. Calculate the greatest common divisor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 9*i - 20. Find the third derivative of 5*h**2 - 3*h**i + 2*h**2 + 22*h**3 + 3*h**2 wrt h.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0802506249 rounded to five dps?\nAnswer: -0.08025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 288, 316, 370, 456, 580, 748, 966, 1240?\n\"Answer: y**3 + 7*y**2 + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 214\/390 + -1 - (-10)\/25. Is 0 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 y when three letters picked without replacement from qxyqyxyxyayqyyxx?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*z = -z + 17, 3*z = 4*y - 7. Solve -21 + 25 = y*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1 - (-1)\/(-1). Suppose j*n + n = 168. Suppose 5*t - n = 202. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -970, -970, -972, -976, -982, -990, -1000?\n\"Answer: -p**2 + 3*p - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 8*f**5\/5 - 36*f + 49. What is the first derivative of i(t) wrt t?\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, 9284, 2, -2, 1.\nAnswer: -2, -1, 1, 2, 3, 5, 9284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 663619*k. Let o(a) = 3*a + 38. What is o(w(b))?\nAnswer: 1990857*b + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*q + 8, 0 = 6*z - 7*z + 3*q + 11. Factor 2\/3*f + 0 - 2\/3*f**z.\nAnswer: -2*f*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose -2*c - j*m + 11 = -9, -5*c + 63 = m. What is the remainder when 50 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 5, 39, 11\/2, -5 in ascending order.\nAnswer: -5, 0.01, 5, 11\/2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*q + 264116, 16107 - 82136 = -q + 5*n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -276428761 - -390028761. Suppose 10*f = 5*f, a = v + 2*f. What is v rounded to the nearest one million?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.147 - -7.947. What is the nearest to t in 57, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 3\/4*t**4 + 8*t + 0*t**3 + 2*t**2 + 0. Differentiate p(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16382 + -0.03618. Suppose -5*v + 0*v + 60 = 0. Suppose -2*o = o + v. Sort n, 2\/5, o, -2\/9 in increasing order.\nAnswer: o, -2\/9, n, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 902049 + -320540. Let d = y - 60477771\/104. Let q = 5\/52 - d. Find the common denominator of q and 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 223973, 223969, 223965, 223961, 223957, 223953?\n\"Answer: -4*f + 223977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -86*x**2\/3 - 38*x\/3 + 124\/3 = 0. Calculate x.\nAnswer: -62\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12036151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2714604 - -1022?\nAnswer: 2715626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + -97328.421328?\nAnswer: -97328.331328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 12*a**2 + 11*a + 1. Let b be r(-11). Let v(j) = b - 18*j**2 - j + 0 + 38*j**2. Is 11 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397 - 397 + 630*c**2 - 2*c**3 + 3710*c**2 + 1738*c**2.\nAnswer: -2*c**3 + 6078*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2\/(-6))*9. Let b = q - 4. Let k be -1 + (b - -12*1). Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -367 in decreasing order.\nAnswer: 3, 1, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16346, 16349, 16352, 16355, 16358, 16361?\n\"Answer: 3*r + 16343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 4291 and 4290 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47649533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + o - 15 = 12*m, 3 = m + o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/10)\/((-19)\/285). Let m(j) = -211*j - 42. Let n(y) = 213*y + 44. Let k(h) = r*m(h) - 7*n(h). What is the first derivative of k(s) wrt s?\nAnswer: -225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*g + 91*g - 44*g in the form b + d*g and give d.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -37, -59, -79, -91, -89, -67, -19?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 144 = -2*a, 2944*a + 35 = 3*o + 2948*a for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/6*(-4)\/42. Let u = -20 + 18. What is the third smallest value in u, -1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024743766 to six decimal places.\nAnswer: 0.002474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/88)\/((-6)\/(-3568)). Let p = 13\/11 + a. What is the common denominator of p and 47 + 2 + (-3 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 22173360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 - 141. Suppose 4*y - 3*y = j, 2*j - y - 5 = 0. Find the third derivative of -2*a**2 - k*a**6 - 67*a**5 + 67*a**j wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, -0.08, -2\/31, -0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4033.0787 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 10*v**2 - 9*v + 5. Suppose 45 = 2*a - 7*a. Let o be s(a). Solve -3*f + y = -2 - o, -5*f - 11 = 4*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147011*f - 147030*f + 95 = 0. Solve -f*k + 602*z = 597*z + 5, -2*k + 5*z - 11 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59262, -59262, -59266, -59274, -59286, -59302, -59322?\nAnswer: -59346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2*p + 1. Suppose 3*o - 4*o = -3*h - 10, -5*h - 20 = -5*o. Let w be 7 - 9 - (-1 + o). Give v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 102.3 and -8.57?\nAnswer: 110.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8533825 is divided by 608.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from {g: 4, s: 6, c: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by ((-4)\/1 - -7)*15?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:04 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3 - 1. Let v(m) = 2*m - 3. Let o(r) = -1. Let t(q) = -3*o(q) + v(q). Determine t(j(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145\/12 + -173\/6. Suppose -2*j + 5*j - 4144 = k, 5*k + 4136 = 3*j. Let p = j - 2705\/2. What is the common denominator of p and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*l = -160*l - p, -2*l + 0*l + 6 = -3*p + 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77920 and 428560.\nAnswer: 857120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -3*n**4\/16 - 3*n**3\/4 - 26. Suppose g(x) = 0. What is x?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -2\/77, 1097, 1\/10, -1\/4.\nAnswer: -5\/4, -1\/4, -2\/77, 1\/10, 1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 4950684.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 + 67. Let a = t - 184. What is the remainder when 19 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-90)\/45*(-5)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 5:47 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 3*x**2 - 52. What is the remainder when a(-9) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 0*o + 0*o**2 + 13\/4*o**4 + 60 + 24*o**3. Find the third derivative of w(k) wrt k.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1 (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3514039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(1100)*-1 + sqrt(1100) + sqrt(1100) + -1) + (sqrt(1100) + (sqrt(1100) - (sqrt(1100) + 1))*1)*3*-6)**2.\nAnswer: -17280*sqrt(11) + 634896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8 and (-1 - (-16)\/(-7))*95\/114.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j. Let l(t) = 30*t. What is n(l(u))?\nAnswer: -180*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31493 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 56*v + 56*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5775, -6106, -6437?\nAnswer: -6768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4 + 218*o**3 + 642*o**2 + 638*o + 212 = 0.\nAnswer: -106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2 + n + 3. Let g(i) = -i**3 - 11*i**2 - 8*i + 18. Let x be g(-10). What is the remainder when 83 is divided by m(x)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -9.9. Let w = 2 - 2.3. Let u = -0.1 - w. Put d, u, 4 in ascending order.\nAnswer: d, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3021 - -48357\/16. Let a = -2909\/2 + 1505. What is the common denominator of n and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03783366 - 499240\nAnswer: -499240.03783366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*r + 101, -4*g = -9*g + 5*r + 115. Let x = 134 + -91. What is the remainder when x is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*(i*i**0\/i)\/i)\/i)\/i)**(-5\/14))**4\/((i\/(i*i**(-2)))**(-4\/29)\/(i**(-2\/9))**(-2\/5)) assuming i is positive.\nAnswer: i**(16382\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -37.2 at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - y - 14 = 5*g, -y = -3*g + 11. Suppose -31736 = g*o + 2*u, -2*u + 42324 = -4*o - 0*u. What is o rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 524692 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 27.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -3 (c) -1659 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -639, 4, 0, -45\/4 in decreasing order.\nAnswer: 4, 0, -45\/4, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12671 + -6767. List the prime factors of o.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 4, t: 15}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5534948 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6*c = -8*c - 116, -32*q + 398 = -2*c - 1286 - 322 for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 118092514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56613 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*z + 23*z - 17*z + (3 + z - 3)*(1 - 1 - 3).\nAnswer: 67*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/5*u**4 + 128\/5*u**3 + 192\/5*u - 224\/5*u**2 + 4\/5*u**5 - 64\/5 = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14922, 14918, 14914, 14910, 14906?\n\"Answer: -4*y + 14926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 + 3*o - 2. What is d(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g - 3. Let x(a) = 44*a + 10. Determine -7*i(v) - 2*x(v).\nAnswer: 17*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 41. Let s be ((-12)\/15)\/((-2)\/d). Is 246\/8 + (-2)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqo when three letters picked without replacement from qbnop?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)\/n)**(-1))**(-8\/7)*(n\/n**(-1\/6))\/n**(-1\/4)*n**(-3\/10)\/n*n*n**(1\/3) assuming n is positive.\nAnswer: n**(-437\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.2. Let u = -105 - -105.1. Let v = 0 - u. Which is the closest to r? (a) v (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6736 is divided by 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -w. Determine q so that -13*q - q + w*q**4 - 9*q**2 - 4*q**3 - 7*q**2 + 2*q**5 - 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55018.58g to nanograms.\nAnswer: 55018580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qraqqqqar. What is prob of sequence qra?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5100, 5086, 5086, 5118, 5200, 5350, 5586, 5926?\nAnswer: 6388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 920067337 to the power of 1\/2, to the nearest integer?\nAnswer: 30333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((12\/15)\/(-4)). Suppose -z + 2*a - 1 = 0, z - 3*a = -0 - v. What is the remainder when ((-26)\/4)\/((-2)\/4) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11762 (base 10) to base 16\nAnswer: 2df2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370*a**2 + 393*a wrt a.\nAnswer: -740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 369 = -203. Suppose -5*w - 30 = 2*j, -4*j - w - m = 44. Let q = 95 - j. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 5*s = -18*x + 2005, 4*s = 12. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15.1 and -785544638.\nAnswer: -785544653.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/2, 16\/5, 2, 2\/15?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 1 = 2*a, -4*g - 1373*a + 1376*a = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 473412193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n - y - 4, -2*n = 4*y - 12. Calculate the smallest common multiple of 16 and 13\/2 - 5 - n\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616496 is divided by 17613.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:22 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + 147. Let g(u) = u - 1. Let s be g(5). Suppose s*p - 10 = d*p. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.9\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 24*g + 1. Let l = -25 - -13. Let b be f(l). Let z be ((-4)\/5)\/(b\/(-60)). What is the closest to 0 in 1\/3, -0.5, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 1. Let d be t(-10). Let h = 39 + d. Let o be 2\/3 - (-790)\/h. Calculate the highest common factor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555158731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k + 1. What is the remainder when r(-2) is divided by (-3)\/9*(-13)\/(-2)*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.3. Let j = 1.24 + -1.44. What is the biggest value in 3\/2, 1\/2, q, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (112\/(-32)*2\/1)\/(-1). Let h(c) = 116*c**2 - 14*c - 7. Is h(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by -8?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 9*v + 5 = -4*v, 3*v - 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 78. Let z(c) = c**2 + 12*c + 45. Calculate the least common multiple of 840\/k*24\/(-10) and z(-6).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + 45?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 130. Suppose 912 = b*u - 42*u. Suppose a = -5*m + u, -2*a = m - 0*a - 93. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23227*a**5 - 2*a**3 + 6*a + 64.\nAnswer: 464540*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - 6*h + 0*h)*(-5 + 3 - 3) + (0 + 4 - 3)*(-h + 0*h + 3*h) in the form j + x*h and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:42 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2653 and -13294?\nAnswer: -35268982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5735 + m**4 + 0*m**2 - 5736 - 5*m**2 - m + m**3 + 3*m**2 to c*m + x + d*m**4 + l*m**2 + s*m**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 2, h: 10, u: 3}. Give prob of sequence xu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8058*u = 1048*u + 610102 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 22*s = -15, 3*i - s = 13. Solve -n - i = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95229872233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148846410 or -0.1?\nAnswer: -148846410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 3*w + 3. Let f be q(3). Suppose f*t = -0*t + 12. Solve t*m + m + n = -18, 10 = 5*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from xgswagswgwgggggsgs.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**4 + g**3*y + g**2*y + 2*g**2 + 4*y wrt g?\nAnswer: -240*g + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - 2*j - 5. Let w = -1 - 0. Let t be (4\/(-5))\/(w\/(-5)). List the prime factors of x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -239 + 152. Let z = -33 - r. Let p = 54.0000087 - z. Round p to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 0.11, -4, 0.4, -0.07?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/788775 and 10\/793?\nAnswer: 48115275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 313*q + 1. Let x(c) = 5*c**2 - 417*c + 1. Let y(d) = 4*w(d) + 3*x(d). Let n(i) = i + 6. Let p be n(-6). Determine y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 151.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31426.62 kilometers to centimeters.\nAnswer: 3142662000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let n(d) = -113894036*d. Calculate n(v(y)).\nAnswer: -113894036*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18280 (base 10) to base 13\nAnswer: 8422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21912 is divided by 132.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -58*w + 594. What is k(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 32 + 5 + 2*v**2 - v**2.\nAnswer: v**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-3) + -3*29\/(174\/30)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 9*h**2\/2 + 2*h - 91. Determine c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 + 41*v**2 + 2*v - 16. What is u(7)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {q: 3, d: 3, x: 2, w: 5, t: 3}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 294, 2\/3 in descending order.\nAnswer: 294, 6\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x**3 + 50*x**2 + 215*x + 120 = 0. Calculate x.\nAnswer: -1, -8\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(6\/7)\/r)\/r)**(2\/9)*(r**(-2\/65))**35 assuming r is positive.\nAnswer: r**(-1090\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - -0.7. Let r be ((-4)\/6)\/(4\/6). Let s = -0.1 - -0.4. What is the biggest value in r, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56064 and 8480337.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.1 (c) 3\/4 (d) 2\/487\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:46 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/160*(-40)\/(-336))\/((-2)\/78)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1468 + 1257. What is the fourth biggest value in -3, r, 5, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 5 + (-24 - -23) - 7) + -180 + 67?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -42. Suppose 25 = 4*k + 2*z + 5, l*z = -4*k + 22. Let x(p) = 2*p - 9*p - k - p - p**2 - 3*p. What is x(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53525 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 8.26668.\nAnswer: -0.1653336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3375\/18)\/25 + 28\/(-8). Solve -d*z - 26 = 3*k - 7, -4*z + k + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1849954+345302\nAnswer: -1504652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(832) + 0)*-3)**2 - ((-6*sqrt(78)*-1 + sqrt(78))\/(sqrt(864)\/sqrt(9)))**2.\nAnswer: 240*sqrt(13) + 119571\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -39. Suppose c + 4*p - 35 = 0, -2*p = -q*c - 4*p + 84. Suppose 3*n + 3*s = 102 + 6, n + 4*s = 33. Calculate the remainder when n is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43347234571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/3848 and -23\/884.\nAnswer: 65416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2837886 is divided by 1011.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 2*r**2 - r**2 - 21 in the form o + k*r**2 + s*r and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -27*x - 39. Let h be o(-2). Put 1, -4, h in ascending order.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1754183*v - 3201415 wrt v?\nAnswer: 1754183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000879 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14724389 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/9, 1\/13, -2\/3 in descending order.\nAnswer: 1\/9, 1\/13, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-15) - (7616\/210)\/(-17). Solve 6*l + 20 = 2*l + v*f, -l - 2*f = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 5*l)*(2 + 0 + 0)*(-4 + 4*l**2 + 4)*(-l + 2*l - 5*l).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 275, 6687, 2 in increasing order.\nAnswer: 0, 2, 275, 6687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.91983 times -0.84\nAnswer: -0.7726572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0 + d - 3*d - 4. Let c(a) = -2*a - 27. Let u be c(-11). Give v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 208\/56 - 2\/(-7). Let l = c + 5. Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466*c = -488*c - 146608000. Round c to the nearest one hundred thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/147 - 10441\/294. What is the common denominator of r and 0 - 1 - 153\/(-90)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = -5*x - 44, -s - 5*x - 363 = -0*s - 327 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 4*i. Let o be a(4). Let q(n) = -n + 14. What is q(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2888400 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/129 + (-2125680)\/112015?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 36 = -52*t + 234. Solve -8 = 2*j - 6*j, -t*n + 9 = -3*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(343)*-3 + -2 + 5)**2.\nAnswer: -126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734436060?\nAnswer: 2, 3, 5, 12240601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h - 6. Let z be i(4). Suppose o + z = -26. Is 2\/3 - o\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/4 + 4095*z**4\/2 - 5520260*z**3 + 9409382685*z**2\/2 + 2107832231745*z\/4 - 4513946714658 = 0?\nAnswer: -107, 8, 2763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 18. Calculate z(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7) + (4 - (-8 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*v + 439*v - 223*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -33.2. Let h = 0.7 - -0.1. Let d = o + h. Which is the second biggest value? (a) 1\/4 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((((-810)\/360)\/(3\/8))\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24216 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r = 232*r + 5007 - 275 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507475897?\nAnswer: 61, 8319277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156692.83285 + -5.\nAnswer: 156687.83285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/20 + 51\/(-90)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 33\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n**2 + 13*n - 49. Let s be k(5). Let f = s - -2865\/7. Is -2\/5 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2228, -4459, -6690?\nAnswer: -8921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 2*i)*(-6 + 4 + 3)*(-21*i - 17*i + 59*i)*(-1 + 1 + i + 1 + i - 1 + (-1 + 2*i + 1)*(3 - 6 + 5) - 2*i + 2*i + i - 3*i + 3 - 3).\nAnswer: -168*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 5*b - 2. Let j be t(4). Suppose 4*u = j*u. What is the second derivative of 3*d - 3 + u - 4*d**5 + 3 wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2001 - 1991. Solve 2*v + 6 = -c*z + 5*z, z - 5*v = 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 n when four letters picked without replacement from {w: 1, i: 7, z: 2, n: 2}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96707.063 - -96591. Let s = -116 - m. Let x = -1.837 - s. Is 2 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1437547 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 2*y**5\/35 - 4*y**4\/7 + 2*y**3 - 22*y**2\/7 + 16*y\/7 - 127. Factor l(q).\nAnswer: 2*(q - 4)*(q - 2)*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 397 or 87?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-9))\/((-8525)\/165 + 50).\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 3*t**2 - t + 5. Determine l(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 26*g - 259, -2*v = -158*g + 157*g + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*s = 6*p - 56, -5*p = -s - 53. What is the common denominator of -93\/4 and ((-7)\/p)\/((-16)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -279*f - 830. Is 9 a factor of q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - d - 10 = 0, -134*x + 133*x + 16*d - 13*d + 17 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-18)*6\/7*1392\/2320\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -5*l + 2*p, 3*p - 3 + 36 = l. Suppose 5*x - l = -5*v, -2*v + 27 = x + 4*x. What is the closest to v in -0.5, 3\/8, 4.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u - 918*t + 914*t - 884 = 0, -3*u = -5*t - 7 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -879613 - -0.01\nAnswer: -879612.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 118*r - 3353. What is w(-68)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 1. Let m be f(-1). Let x(g) be the second derivative of m*g + 0 + 1\/12*g**4 + 0*g**2 + 0*g**3. Let p(c) = 3*c. Determine x(p(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -54*r**2 + 1\/20*r**5 - 5\/12*r**4 + 0 + 22\/105*r**7 + 0*r + 0*r**6 + 0*r**3. Find the third derivative of t(s) wrt s.\nAnswer: 1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 833, -1564, -4, 4?\nAnswer: 833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a + 115 + 131 = -13 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*m - 4 = 19, 3*f - 2*m + 2 = 0. Let a = f - -8. Suppose -a*d = d - 245. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 38. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {y: 1, a: 2, n: 1, r: 1, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 17 = a + 276, -4*v + 5*a = 416. Let y = v + 99. Solve 2*q + 6 = -y*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5652575800+-0.02\nAnswer: -5652575800.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*s + 28, 5*a + s = -2*s + 28. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19019, -19009, -18999?\nAnswer: -18989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from zfkkhmhc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 + 10 - -3 - (522 - 550).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/3 (c) 139\/5 (d) 4 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86992.11m in centimeters?\nAnswer: 8699211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3351*a**3*u**4 + a**3*u**2 + 12324*a**3 + 2*a*u**5 wrt u?\nAnswer: -80424*a**3*u + 120*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:43 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l + 2*x - 9, -4*l + 2*x = 4. Suppose 3 = 4*u + o, l = 2*u + o - 2. Which is the closest to u? (a) -0.5 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-h**4 + 3*h**4 - h**4 - h**4 + h**4 + 2*h**4 + (4*h**2 - 4*h**2 - h**3)*(1 - 1 + h)) + 2*h**3 + 13*h**4 - 2*h**3.\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5080)\/(-16002))\/((-26)\/117))\/(48\/(-7)).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124688 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 24 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.09 and 1044\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 882219725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-11))\/(7\/154). Suppose 0*q + u*q = -q. Which is smaller: 7\/103 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*d**2*f + 15*d**2 + 33*d*f**2 - 57*d + 1346547*f**2 - 29*f wrt d.\nAnswer: -126*d*f + 30*d + 33*f**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 11*n. Let h(j) = 26*j**2. Determine q(h(v)).\nAnswer: 2704*v**4 + 286*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94847?\nAnswer: 94847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by -2 + 13 + 5 + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}